180 courses with the subject MAE, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MAE 1170Introduction to Mechanical Engineering3
Introduction to fundamentals of mechanical and aerospace engineering. Students learn and understand topics such as stress and strain, fluid mechanics, heat transfer, automotive engineering, and engineering design and product development. Emphasis is placed on critically examining problem solutions to begin developing engineering intuition. Key components of the class include in-class discussions, homework, laboratory experiments, and a group design project.
MAE 1270Introduction to Entrepreneurship for Engineers3
This course is intended for first-year students. A solid introduction to the entrepreneurial process to students in engineering. The main objective is to identify and to begin to develop skills in the engineering work that occurs in high-growth, high-tech ventures. Basic engineering management issues, including the entrepreneurial perspective, opportunity recognition and evaluation, and gathering and managing resources are covered. The fundamentals of supply and demand and other basic microeconomic terms are covered. Technical topics such as the engineering design process, product realization, and technology forecasting are discussed.
MAE 1900First-Year Independent Study in Mechanical Engineering1-4
Individual research studies for students who want to pursue a particular analytical, computational, or experimental investigation outside of regular courses or for informal instruction supplementing that given in regular courses. An engineering report on the project is required of each student. Students must first make individual arrangements with a faculty sponsor and then submit an enrollment form, available online at https://www.mae.cornell.edu/mae/programs/undergraduate-programs/undergraduate-forms. Once approved, students will receive an enrollment pin to enroll in MAE 1900. Students are expected to spend 3-4 hours per week per credit hour working on the project. May not be used as a technical elective in the ME major.
This course presents the methods for analyzing deformable structures in equilibrium. It is fundamental to mechanical analysis and design and is the basis for many advanced courses and professions in mechanical, civil, materials, biomedical and biological engineering.
Newtonian dynamics of a particle, systems of particles, rigid bodies, simple mechanisms and simple harmonic oscillators. Impulse, momentum, angular momentum, work and energy. Two-dimensional (planar) kinematics including motion relative to a moving reference frame. Three dimensional rigid-body dynamics are introduced at the instructor's option. Setting up the differential equations of motion and solving them both analytically and numerically with MATLAB. In-lecture laboratory demonstrations illustrate basic principles.
Presents the definitions, concepts, and laws of thermodynamics. Topics include the first and second laws, thermodynamic property relationships, and applications to vapor and gas power systems, refrigeration, and heat pump systems. Examples and problems are related to contemporary aspects of energy and power generation and to broader environmental issues.
The majority of engineering courses focus on achieving quantitative outcomes using the proper applied formulas and metrics. This is not the case for MAE 2250, which focuses on applying a process and justifying decisions which lead to a (hopefully desired) outcome. You can expect to be challenged by the types of complex and open-ended problems regularly encountered in engineering practice and provided with a methodology to begin to navigate these challenges. Many of these challenges will be qualitative in nature, with no one correct answer. Your personal experiences and the experiences of your end user can - and should! - weigh into your final solutions.Our approach will follow the product development process, spanning stages of problem research through prototyping and evaluation. You will design mechanisms and devices to fulfill specific user needs and assess and iterate on various concepts that you develop and prototype. You will learn to create your own evaluation criteria and compare designs based on those criteria. These design experiences will simulate real-world engineering practices and include project management, team organization, version tracking, and oral communication. You will learn how to use computer aided design (CAD) tools effectively through projects.There will be one main group project (the open design project, or ODP) in this course and several individual assignments to support specific content. In the open design project, you will propose a problem that you will research and then spend time ideating, prototyping, and evaluating your solutions. Your group project will focus on combining mechanical constraints and requirements with an understanding of user needs and converging on a solution. The individual projects will include CAD design, mechanism analysis, machine design, and design optimization. Each of these projects will be opportunities to apply specific skills from the course, while the group project will represent the larger design process.
MAE 2270Introduction to Entrepreneurship for Engineers3
This course is intended for first-year students. A solid introduction to the entrepreneurial process to students in engineering. The main objective is to identify and to begin to develop skills in the engineering work that occurs in high-growth, high-tech ventures. Basic engineering management issues, including the entrepreneurial perspective, opportunity recognition and evaluation, and gathering and managing resources are covered. The fundamentals of supply and demand and other basic microeconomic terms are covered. Technical topics such as the engineering design process, product realization, and technology forecasting are discussed.
This course is an overview of the engineering science relevant to the design of aircraft. It is a course in applied aerodynamics, designed to develop the engineering background required to understand the principal aerodynamic constraints involved in the design of heavier-than-air, atmospheric flight vehicles. Basic concepts in fluid mechanics and aerodynamics are reviewed and described in the context of their relevance to the performance of aircraft and to the stability and controllability of flight vehicles. The fluid mechanical theory for lift and drag forces is developed, the characteristics of aircraft propulsive systems are explored, and the two are brought together to investigate the performance of typical aircraft.
MAE 3120Mechanical Properties of Materials, Processing, and Design3
Relationship between microscopic mechanisms and macroscopic mechanical behavior of engineering materials, how mechanical properties can be modified, and criteria for selection and use of materials in design. Stress, strain and elastic constants as tensor quantities, viscoelasticity and damping, plastic deformation, creep deformation, fracture, and fatigue.
This course covers the atomic and molecular structure of crystalline and noncrystalline materials as well as selected analytical techniques for structural interrogation. Selected topics include, basic elements of structure; order and disorder; crystals; semicrystalline materials; amorphous materials; molecular materials; x-ray diffraction; small angle x-ray scattering.
MAE 3150Hands-on Engineering Simulations and Design3
This course is aimed at preparing students to solve practical problems in structural mechanics using industry-standard simulation software. This is a problem-based course where students will learn both theory and applications by solving practical problems involving realistic 3D CAD geometries. Examples considered include pressure vessel and wind turbine blade static analysis as well as turbine disk vibration. Students will need to complete a final course project which will involve simulation-based design such as designing a bicycle frame. The focus will be on developing a strong conceptual understanding of what's inside the simulation black box so as to move beyond “garbage-in, garbage-out.” Substantial time will be spent on understanding the chain of reasoning and assumptions used to the develop the mathematical models underlying simulations as well as on interpreting the results obtained from solving these models using a finite-element solver. Verification and validation of simulation results is emphasized throughout. Examples, homework and project will use Ansys, an industry-standard simulation software. However, concepts and solution approaches learned will be applicable to other software for structural simulations.
MAE 3200Introduction to Machine Learning for Mechanical Engineers3
This course introduces Machine Learning (ML) concepts and methods to Mechanical Engineering (ME) students. The course starts with basic supervised and unsupervised learning methods, ensemble methods, the bias-variance tradeoff, and model selection. It then covers two topics in detail: Neural Networks as a key method in the modeling of mechanical systems, and Reinforcement Learning as a key method in robotics and cyber-physical systems. The course is structured around hands-on assignments that illustrate the use of ML in addressing ME problems. It is tailored to ME students as it builds on an engineering mathematics and probability foundation along with basic programming skills but does not assume a background in algorithms.
Topics include physical properties of fluids, hydrostatics, conservation laws using control volume analysis and using differential analysis, Bernoulli's equation, potential flows, simple viscous flows (solved with Navier-Stokes equations), dimensional analysis, pipe flows, boundary layers. Introduction to compressible flow.
This is the first course in heat transfer, with an emphasis on understanding the fundamental physics underlying different heat transfer processes, making proper approximations for analytical heat transfer calculations and numerical methods for engineering heat transfer analysis. Topics include: introduction to three modes of heat transfer, thermal resistance network analysis, steady-state conduction, transient conduction, numerical methods for heat conduction and convection using ANSYS, free convection, heat exchangers, radiation processes and properties.
Dynamic behavior of mechanical systems: modeling, analysis techniques, and applications; vibrations of single- and multidegree- of-freedom systems; feedback control systems. Computer simulation and experimental studies of vibration and control systems.
This course will offer students opportunities to perform preliminary design and analysis of structures and mechanical components and to select materials to meet design objectives and constraints. To do so, students will extend their knowledge of and ability to apply solid and structural mechanics topics including general states of stress and strain, elasticity, coordinate transformations, energy methods, effects of combined loading and mechanical testing. The use of multipe failure criteria including yielding, brittle failure, fatigue and fracture as part of design calculations to meet stiffness, strength and other performace criteria is emphasized. Students are introduced to the structure, processing and mechanical properties of metals, polymers, ceramics and composites. A formal approach to mateirals selection is introduced and applied.
Mechatronics sits at the intersection of mechanical and electrical engineering. Many modern mechanical systems (e.g. vehicles) includes embedded electronics and microcontrollers. This course introduces students to mechatronic systems with a hands-on focus on circuits that interact with the world via sensors and actuators. Students will learn the underlying theory behind circuit behavior along with extensive circuit prototyping and debugging. The course will culminate in the design, fabrication, and programming of a mechatronic system such as a mobile robot or device for home/office automation.
Mechatronics sits at the intersection of mechanical and electrical engineering. Many modern mechanical systems (e.g. vehicles) includes embedded electronics and microcontrollers. This course introduces students to mechatronic systems with a hands-on focus on circuits that interact with the world via sensors and actuators. Students will learn the underlying theory behind circuit behavior along with extensive circuit prototyping and debugging. The course will culminate in the design, fabrication, and programming of a mechatronic system such as a mobile robot or device for home/office automation.
Main features of energy conversion by wind turbines. Emphasis on characterization of the atmospheric boundary layer, aerodynamics of horizontal axis wind turbines, and performance prediction. Structural effects, power train considerations, siting and wind farm planning, offshore.
Main features of energy conversion by wind turbines. Emphasis on characterization of the atmospheric boundary layer, aerodynamics of horizontal axis wind turbines, and performance prediction. Structural effects, power train considerations, siting and wind farm planning, offshore. Senior Design version of MAE 4020. Senior Design report required.
Introduction to spacecraft orbit mechanics, attitude dynamics, and the design and implementation of spaceflight maneuvers for satellites, probes, and rockets. Topics in celestial mechanics include orbital elements, types & uses of orbits, coordinate systems, Kepler's equation, the restricted three-body problem, interplanetary trajectories, the rocket equation and staging, Clohessy-Wiltshire equations and relative formation flight, drag and orbital decay, and propulsive maneuvers. Topics in attitude dynamics include kinematics, Euler's equations, stability of spinning spacecraft, attitude perturbations such as gravity-gradient and magnetic torques, equations of motion of rigid spacecraft with momentum actuators and thrusters, attitude maneuvers such as nutation control and reorientation, low-speed fluid behaviors, and elementary feedback control of linearized attitude and orbit dynamics. Principles of spacecraft propulsion technology and attitude-control technology are introduced along with the rocket equation and staging. The course includes discussions of current problems and trends in spacecraft operation and development.
Introduction to stability and control of atmospheric-flight vehicles. At the end of the course, students will be able toderive from first principles the differential equations governing the motion of flight vehicles, formulate appropriate simplifying assumptions, solve for the aircraft motion through analytical or numerical means, analyze the static and dynamic stability properties of a given aircraft, and explain expected aircraft piloting behaviors through rigorous engineering reasoning.
MAE 4080Scientific Machine Learning for Physical Modeling and Discovery3
This senior/graduate elective rigorously explores the interplay between conventional physics-based methods and modern data-driven AI approaches for modeling and discovering complex physical systems, including fluid dynamics, solid mechanics, and heat transfer. Students will build a deep understanding of the mathematical foundations and computational principles behind both physics-based solvers (e.g., finite-difference and finite-volume methods) and AI techniques (e.g., neural operators, generative models, and symbolic AI). Emphasis is placed on hybrid scientific AI frameworks that unify physical laws with data-driven models to solve forward and inverse problems in scientific computing, including predictive modeling, parameter inference, and equation discovery. Through theoretical analysis, algorithm development, and hands-on case studies, students will critically evaluate trade-offs in accuracy, scalability, robustness, and uncertainty quantification, and develop practical skills to innovate at the intersection of scientific computing and AI.
MAE 4100Numerical Methods for Fluids: From Foundations to AI-Enhanced CFD3
This course introduces the numerical methods and computational techniques for solving partial differential equations (PDEs) in fluids, heat transfer, and related transport phenomena. Students will study model PDEs to develop a rigorous foundation in discretization, truncation error, stability, and convergence. Core topics include finite difference and finite volume methods, explicit and implicit time-marching schemes, and iterative solvers for large linear systems. A distinctive emphasis is placed on the hands-on development of numerical solvers: students will implement algorithms in Python to simulate canonical problems (convection, diffusion, Poisson, Burgers equations) and extend them to the Navier–Stokes equations. Advanced modules introduce next-generation methods such as GPU acceleration, differentiable programming, and hybrid AI–PDE solvers. The course emphasizes algorithmic and computational foundations rather than commercial software.
MAE 4110Legged Robots: Learning, Dynamics, and Control3
This course focuses on giving students experience with deploying controllers on a complex real-world (legged) robot, and how to debug a complex system that relies not only on software but the hardware details. While the details/knowledge covered are centered around legged robots, the skills are relevant to any robot platform. You will learn how to model and control (largely with learning-based tools) a dynamically unstable system, and transfer the results from simulation to hardware. The course will include hands-on exercises building simple robots to develop physical intuition, and simple model-based analyses to make a strong connection between physics and the hardware design of the robot, and control or the software design. The core of the course is a team-project using reinforcement learning (RL) to control a legged robot.
Covers the fundamentals of mechanical analysis and material selection for composite materials. Topics include an overview of composite types, advantages, applications and fabrication; anisotropic elasticity; specific composite constitutive equations including plane stress and lamination theory; failure analysis; boundary value problems using composite materials; experimental methods and an introduction to micromechanics. Lectures cover essential background material and theoretical developments. Labs provide hands-on experiences for understanding composite materials properties and performance.
Covers the fundamentals of mechanical analysis and material selection for composite materials. Topics include an overview of composite types, advantages, applications and fabrication; anisotropic elasticity; specific composite constitutive equations including plane stress and lamination theory; failure analysis; boundary value problems using composite materials; experimental methods and an introduction to micromechanics. Lectures cover essential background material and theoretical developments.
Analysis of GPS operating principles and engineering practice with a culminating design exercise. GPS satellite orbital dynamics, navigation data modeling, position/navigation/timing solution algorithm, receiver and antenna characteristics, analysis of error and accuracy, differential GPS.
MAE 4160Spacecraft Technology and Systems Architecture3
This course is a survey of contemporary space technology from subsystems through launch and mission operations, all in the context of spacecraft and mission design. It focuses on the classical subsystems of robotic and human-rated spacecraft, planetary rovers, and other space vehicles, as well as on contemporary engineering practice. Topics covered include subsystem technologies and the systems-engineering principles that tie them together into a spacecraft architecture. Subsystem technologies discussed include communications, thermal subsystems, structure, spacecraft power, payloads (remote sensing, in-situ sensing, human life support), entry/descent/landing, surface mobility, and flight-computer hardware and software.
MAE 4161Spacecraft Technology and Systems Architecture4
This course is a survey of contemporary space technology from subsystems through launch and mission operations, all in the context of spacecraft and mission design. It focuses on the classical subsystems of robotic and human-rated spacecraft, planetary rovers, and other space vehicles, as well as on contemporary engineering practice. Topics covered include subsystem technologies and the systems-engineering principles that tie them together into a spacecraft architecture. Subsystem technologies discussed include communications, thermal subsystems, structure, spacecraft power, payloads (remote sensing, in-situ sensing, human life support), entry/descent/landing, surface mobility, and flight-computer hardware and software.
Creating robots capable of performing complex tasks autonomously requires one to address a variety of different challenges such as sensing, perception, control, planning, mechanical design, and interaction with humans. In recent years many advances have been made toward creating such systems, both in the research community (different robot challenges and competitions) and in industry (industrial, military, and domestic robots). This course gives an overview of the challenges and techniques used for creating autonomous mobile robots. Topics include sensing, localization, mapping, path planning, motion planning, obstacle and collision avoidance, and multi-robot control.
The course focus is on systems level design and implementation of fast and dynamic autonomous robots. With the recent DIY movement, design of kinematic robots is largely becoming a software challenge. In dynamic robots, however, any latency or noise can be detrimental. We will design a fast autonomous car, explore dynamic behaviors, acting forces, sensors, and reactive control on an embedded processor, as well as the benefit of partial off-board computation. Students will learn how to derive design specifications from abstract problem descriptions and gain familiarity with rapid prototyping techniques, system debugging, system evaluation, and online dissemination of work.
MAE 4220Introduction to Internet of Things - Technology and Engagement3
This interdisciplinary design course aims to provide a holistic introduction to Internet of Things (IoT) and train students on the core technological and communication skills through community engagement and working on real-world applications. IoT has become an enabler for new economic activities and provides potentially cost-effective solutions to a wide range of societal challenges. Students team up with community partners throughout a semester to tackle a real-world problem using IoT technology. The project topics include, but are not limited to, energy, environmental, civic infrastructure monitoring. The project teams will apply engineering design principles and critically examine sensor selection, sensor deployment, wireless communication, data quality, security, and privacy as well as value proposition for IoT-based solutions. The key learning outcome of this course is that students will grasp how to develop IoT-based technological solutions and become competent in communicating how to use the IoT technology responsibly to create positive societal impact.
MAE 4221Introduction to Internet of Things - Technology and Engagement4
This interdisciplinary design course aims to provide a holistic introduction to Internet of Things (IoT) and train students on the core technological and communication skills through community engagement and working on real-world applications. IoT has become an enabler for new economic activities and provides potentially cost-effective solutions to a wide range of societal challenges. Students team up with community partners throughout a semester to tackle a real-world problem using IoT technology. The project topics include, but are not limited to, energy, environmental, civic infrastructure monitoring. The project teams will apply engineering design principles and critically examine sensor selection, sensor deployment, wireless communication, data quality, security and privacy as well as value proposition for IoT-based solutions. The key learning outcome of this course is that students will grasp how to develop IoT-based technological solutions and become competent in communicating how to use the IoT technology responsibly to create positive societal impact.
This course builds on the foundation of MAE 3230. The lectures emphasize on the physics and mathematical analysis of the subject. Topics include incompressible flows, compressible flows, and computational fluid dynamics. As an integral part of the course, you will learn numerical method and how to use ANSYS/Fluent to solve flow problems. The students will develop problem-solving skills, through which to cultivate an appreciation for the rich and complex structure of fluids, and appreciation for fundamental ideas in fluid dynamics.
This course builds on the foundation of MAE 3230. The lectures emphasize on the physics and mathematical analysis of the subject. Topics include incompressible flows, compressible flows, and computational fluid dynamics. As an integral part of the course, you will learn numerical method and how to use ANSYS/Fluent to solve flow problems. The students will develop problem-solving skills, through which to cultivate an appreciation for the rich and complex structure of fluids, and appreciation for fundamental ideas in fluid dynamics.
How a material is made into its final form has great importance to its structure and therefore to its properties and performance. This course is aimed at giving students an understanding of the state-of-the-art material processing and manufacturing technologies as well as how these processes influence materials' microstructure and properties. With a unified approach this course will introduce the fundamentals of materials processing applied to metals, ceramics, and polymers. Different material processing routes from melt-based and powder-based processes to shape forming, joining, surface engineering and additive manufacturing will be discussed. Emphasis will be placed on the physics of the process as well as on how the processes will influence the properties of emerging materials and applications.
Laboratory exercises in fluid mechanics and the thermal sciences. Measurements of flame temperature, pressure, heat transfer, viscosity, lift and drag, fluid-flow rate, effects of turbulence, airfoil stall, flow visualization, and spark ignition engine performance. Instrumentation, techniques and analysis, and interpretation of results. Biweekly written assignments with extensive feedback.
Substantial design experience based on the knowledge and skills acquired in earlier course work and incorporating engineering standards and realistic constraints. Sections of this course satisfy the BS ME senior design requirement. Sections are directed by a faculty member as an individual or a team design exercise. Students must first make individual arrangements with a faculty sponsor and then submit an enrollment form, available online at https://www.mae.cornell.edu/mae/programs/undergraduate-programs/undergraduate-forms. Once approved, students will receive an enrollment pin to enroll in MAE 4291.
This course aims to give students a broad grasp of the roles and responsibilities of engineers in contributing to societal well-being by integrating perspectives from sociocultural and humanistic studies with science and technology. The course will explore how the process of applying engineering principles can impact society, including environmental sustainability, diversity and equity, and ethics. Students will be familiarized with concepts related to engineering standards and regulations, sustainable development goals, sustainability reporting, community engagement, and the ethics and the governance of artificial intelligence. These concepts will then be used to explore the larger context of how social factors interact with engineering science and technology.
MAE 4320Integrated Micro Sensors and Actuators: Bridging the Physical and Digital Worlds4
Introduction to micro and nano devices that allow the digital world to both sense and actuate in the physical world. Design and analysis of modern MEMS/NEMS (Micro/Nano Electromechanical Systems) touch, accelerometers, gyroscopes, pressure, microphones, neural probe sensors. Design and analysis of electrostatic, piezoelectric, thermal, and magnetic actuators for frequency control and micro robotic applications. This is an interdisciplinary course drawing from mechanics, materials, solid state devices, CMOS electronics, and micro and nano fabrication. The students design, fabricate, and test a microsensor chip to implement class concepts.
MAE 4341Innovative Product Design via Digital Manufacturing4
This hands-on/project-based course instructs students on methods to identify product concepts for machine designs with commercial potential. It combines lectures and field/lab activities on the new product development cycle: iterative design based on ethnographic fieldwork, team brainstorming, prototyping, testing/consumer feedback, and limitations set by mass manufacturing. Students -coming from diverse backgrounds and industry experience, and some currently working in different companies -will be teamed together to develop the new products.They will be given a common design challenge, and after observingand engagingwith real users, they will identify specific needs; then based on those needs each team will end up with a different problem definition and a different product. Industry advisersfrom real world companies will provide constant feedback throughout the semester.
This course emphasizes entrepreneurial driven technology designs (forward engineering) by integrating mechanical, chemical, and materials engineering through the understanding of early stage product development complexities. These complexities include staging invention and innovation via the critical selection of materials, assessing product mechanics and processes for final product function, performance, reliability, cost and technical marketability. Students will attend lectures, participate in establishing a Tech Startup integrated into the Johnson School MBA mentoring program, attend startup design reviews, give a series of individual/group presentations, and write a startup issue paper.
MAE 4360Design and Simulation of Multiphase Flow Systems3
This course will introduce fundamental concepts of multiphase flow physics and explain their relevance in natural and engineered systems of societal importance. In this course, multiphase refers both to a carrier fluid laden with particles or two immiscible phases like water and air. State-of-the-art scientific computing strategies for modeling multiphase flows are presented and deployed in a series of case studies in which students will use, manipulate, and modify advanced algorithms in order to quantitatively predict the complex, highly non-linear behavior of these flows.
This course will overview the physical princples governing existing spacecraft thermal management technologies, including conductive and radiative heat transfer, passive and active fluid transport, and ablation. One focus of the class is on thermal protection, which consists of materials and systems designed to protect spacecraft from extreme temperatures, particularly during atmospheric entry. Additionally, we discuss thermal control systems, which maintain all vehicle surfaces and compnents within an appropriate temperature range throughout all mission phases. Integral to the class is the reading and discussion of scientific research articles on the topics of spacecraft thermal control and protection.
This course will overview the physical princples governing existing spacecraft thermal management technologies, including conductive and radiative heat transfer, passive and active fluid transport, and ablation. One focus of the class is on thermal protection, which consists of materials and systems designed to protect spacecraft from extreme temperatures, particularly during atmospheric entry. Additionally, we discuss thermal control systems, which maintain all vehicle surfaces and compnents within an appropriate temperature range throughout all mission phases. Integral to the class is the reading and discussion of scientific research articles on the topics of spacecraft thermal control and protection.
MAE 4450Additive Manufacturing: Process Physics, Materials, Properties and Post Processing3
In this course, we'll start by covering the fundamentals of additive manufacturing (AM), introducing you to various techniques like extrusion, powder bed fusion, photopolymerization, material jetting, binder jetting, direct energy deposition, and laminated object manufacturing. You will also explore the crucial post-processing steps that enhance the quality and functionality of 3D printed objects. We'll also dive into the compatibility of materials with each AM process, enabling you to make informed material choices for your specific projects. Throughout the course, you'll develop the expertise to select the most suitable AM technique for various design challenges and manufacturing problems, optimizing efficiency and cost-effectiveness. Real-world case studies from diverse industries will provide practical insights, helping you analyze project strengths and weaknesses and apply this knowledge to future applications. This course offers an accessible gateway to the exciting world of additive manufacturing.
This course focuses on mastering experimental techniques related to measuring the mechanical behavior of biomedical materials and biological tissues. Students will learn techniques for measuring mechanical properties of cardiovascular and musculoskeletal tissues in tension, compression, shear, and bending. Students will learn to apply non-linear models to describe the behavior of elastic, viscoelastic, poroelastic, and hyperelastic materials.
Introduction to air and rocket propulsion. Emphasis on air-breathing gas-turbines. Chemical rocket propulsion. Brief discussion of of ramjets and of propellers. Application of thermodynamic and fluid-mechanical principles to analysis of performance and design, including fuel efficiency and environmental impacts.
MAE 4530Computer-Aided Engineering: Applications to Biological Processes3
Introduction to simulation-based design as an alternative to prototype-based design; modeling and optimization of complex real-life processes for design and research, using industry-standard physics-based computational software. Emphasis is on problem formulation, starting from a real process and developing its computer model. Modeling application (project) can be biomedical (thermal therapy and drug delivery) or broader biological and bioenvironmental applications that involve heat transfer, mass transfer, and fluid flow. Computational topics introduce the finite-element method, model validation, pre- and post-processing, and pitfalls of using computational software. Students choose their own semester-long project, which isa major part of the course (no final exam).
This course provides the contextual and physical framework to understand and design space propulsion devices for orbiting spacecraft and satellite systems. An introduction to the basic principles of propulsion and performance metrics in the context of space missions are presented. Key physics underlying the operation of propulsion devices are covered. Specifically, the design and performance of ion engines, Hall thrusters, electrospray thrusters, and emerging propulsion concepts are covered.
MAE 4580Introduction to Nuclear Science and Engineering3
Introduces the fundamental concepts of nuclear science and engineering, including nuclear structure, radioactivity, nuclear reactions and the interaction of neutrons, charged particles, x-rays and gamma-rays with matter. Discusses the neutron chain reaction and its control in the core of a fission reactor. Different reactor designs are introduced and discussed along with their safety features. Other topics include radiation shielding and aspects of the nuclear fuel cycle, including isotope separation, fuel reprocessing, waste disposal and sustainability
MAE 4590Introduction to Controlled Fusion: Principles and Technology3
Introduction to the physical principles and various engineering aspects underlying power generation by controlled fusion. Topics include: fuels and conditions required for fusion power and basic fusion-reactor concepts, fundamental aspects of plasma physics relevant to fusion plasmas and basic engineering problems for a fusion reactor, and an engineering analysis of proposed magnetic and/or inertial confinement fusion-reactor designs.
This hands-on course instructs on strategies to invent - make - and disseminate products that solve an identified need. These products can be consumer, enterprise, research, for profit or non-profit. The lectures will primarily be discussion based on assigned readings and tasks, and guest lectures from domain experts. This course combines lectures and field/lab activities on the new product development cycle: invention based on bioinspiration, iterative design based on customer discovery, team brainstorming, prototyping, testing/consumer feedback, and manufacturing innovation.
This hands-on course instructs on strategies to invent - make - and disseminate products that solve an identified need. These products can be consumer, enterprise, research, for profit or non-profit. The lectures will primarily be discussion based on assigned readings and tasks, and guest lectures from domain experts. The course combines lectures and field/lab activities on the new product development cycle: invention based on bioinspiration, iterative design based on customer discovery, team brainstorming, prototyping, testing/consumer feedback, and manufacturing innovation.
Application of mechanics and materials principles to orthopaedic tissues. Physiology of bone, cartilage, ligament, and tendon and the relationship of these properties to their mechanical function. Mechanical behavior of skeletal tissues. Functional adaptation of these tissues to their mechanical environment. Tissue engineering of replacement structures.
Application of mechanics and materials principles to orthopaedic tissues. Physiology of bone, cartilage, ligament, and tendon and the relationship of these properties to their mechanical function. Mechanical behavior of skeletal tissues. Functional adaptation of these tissues to their mechanical environment. Tissue engineering of replacement structures. Senior design report required.
The transport of energy, mass, and momentum is essential to the function of living systems. Changes in these processes often underlie pathological conditions. This undergraduate level course covers the understanding and analysis of micro-macroscopic fluid flow phenomena within the human body and the relation between fluid flow and physiological processes. The topics covered in this course span cellular level to organs under healthy and diseased conditions. Instruction will include a combination lecture, discussion, practical homework, and projects. The goals of the course are to build conceptual understanding and analytical skills. Students are encouraged to engage with material independently and come to class ready to participate actively.
MAE 4660Biomedical Engineering Analysis of Metabolic and Structural Systems3
This course focuses on applying techniques of engineering analysis to quantify function and dysfunction of human physiologic systems. Thematic areas include the cardiovascular, respiratory, musculoskeletal, and renal systems. Emphasis will be placed on developing mathematical models to understand function and dysfunction across tissue scales, and implementing these with experimental data to make biomedical engineering judgments.
This course will provide foundations of polymer mechanics building from the basics of mechanics of materials. The focus will be split between experimental methods/data interpretation and modeling approaches. Topics will include hyper-elasticity, viscoelasticity, glass transition temperature, and plasticity with applications to both synthetic and biological materials. There will also be a scientific literature reading component through which students will be able to pick their own focus areas in the latter part of the semester.
This course will provide foundations of polymer mechanics building from the basics of mechanics of materials. The focus will be split between experimental methods/data interpretation and modeling approaches. Topics will include hyper-elasticity, viscoelasticity, glass transition temperature, and plasticity with applications to both synthetic and biological materials. There will also be a scientific literature reading component through which students will be able to pick their own focus areas in the latter part of the semester.
MAE 4700Finite Element Analysis for Mechanical and Aerospace Design4
Introduction to linear finite element static analysis for discrete and distributed mechanical and aerospace structures. Prediction of load, deflection, stress, strain, and temperature distributions. Major emphasis on underlying mechanics and mathematical formulation. Introduction to computational aspects via educational and commercial software (such as MATLAB and ANSYS). Selected mechanical and aerospace applications in the areas of trusses, beams, frames, heat transfer, and elasticity. A selection of advanced topics such as dynamic modal analysis, transient heat transfer, or design optimization techniques may also be covered, time permitting.
MAE 4721Advanced Applications of Finite Element Analysis Using Ansys3
This course prepares students to solve industry-relevant problems in structural mechanics and dynamics using Ansys simulation software. This is a problem-based course where students will learn finite-element applications by solving practical problems involving realistic 3D CAD geometries. Applications considered include pressure vessel stress analysis, wind turbine blade buckling, turbine disk vibration, electronics enclosure dynamics and robot arm motion. The focus will be on developing a strong conceptual understanding of what's inside the simulation blackbox so as to move beyond garbage-in, garbage-out. Verification and validation of simulation results is emphasized throughout. Rigid-body dynamics applications will also be covered. Concepts, solution approaches and best practices learned will be applicable to the use of other industry-standard simulation software. Suitable for both on-campus and distance learning students.
The course emphasizes the classical dynamics of single- and multi-degree-of-freedom systems made up of particles, rigid-objects in 2 and 3 special dimensions. Three approaches are used: the Newton-Euler and Lagrangian approach, both using minimal coordinates, and also a 'maximal coordinate' approach using differential algebraic equations (DAEs). The course emphasizes finding equations of motion, solving them analytically (if possible) and numerically; and graphical presentation of solutions, including animations.
Robotics is interdisciplinary and draws inspiration from many different fields towards solving a variety of tasks in real-world environments using physical systems. This course is a challenging introduction to basic computational concepts used broadly in robotics. By the end of this course, students should have a fundamental understanding of how the different sub-fields of robotics such as kinematics, state-estimation, motion planning, and controls come together to develop intelligent behaviors in physical robotic systems. The mathematical basis of each area will be emphasized, and concepts will be motivated using common robotics applications. Students will be evaluated using a mixture of theoretical and programming exercises throughout the semester.
MAE 4770Structural Dynamics and Vibration Analysis3
Dynamic loads can break bridges and airplane wings even when the forces are deemed small and safe by static analysis. How can this be? To answer this question, we will explore powerful analytical and computational tools to predict the dynamic responses of mechanical and structural systems.
This course covers the analysis and design of linear feedback systems in both the frequency and time domains. The course includes a laboratory that examines modeling and control of representative dynamic processes. The frequency domain aspects are analyzed via Laplace transforms, transfer functions, root locus, and frequency response methods. The time domain aspects are analyzed via state space models, stability, controllability, observability, state feedback, and observers.
An introductory course on robot perception techniques for modeling, fusing, and interpreting heterogeneous and dynamic sensor measurements in the context of robot motion and uncertain environments. The course covers sensor modeling, artificial vision, acoustic sensing, and probabilistic filtering methods. Emphasis is placed on intelligent sensor fusion, object detection and classification, tracking, localization and mapping, exploration, and information-driven motion planning. Algorithms inspired by neural networks, Bayesian networks, graphical models, and information theory are examined. Students investigate perception-driven decision making through benchmark problems such as coverage, target search, tracking, and pursuit-evasion. Applications are drawn from environmental monitoring, surveillance, sensing-and-pursuit games, and human-robot interaction.
Special offering providing technical depth and/or breadth beyond the required engineering common curriculum, in an applications area or discipline with connections to engineering. This course number is used for courses that are not a permanent part of the curriculum.
Selected topics in the analysis and design of vehicle components and vehicle systems. Emphasis on automobiles. Engines, transmissions, suspension, brakes, and aerodynamics are discussed. The course uses first principles and applies them to specific systems. The course is highly quantitative, using empirical and analytical approaches.
Selected topics in the analysis and design of vehicle components and vehicle systems. Emphasis on automobiles. Engines, transmissions, suspension, brakes, and aerodynamics are discussed. The course uses first principles and applies them to specific systems. The course is highly quantitative, using empirical and analytical approaches. Senior Design report required.
MAE 4870Fundamentals of Electric-Drive Vehicle Engineering3
The course covers the engineering fundamentals and basic design of electric-drive vehicles by analyzing the relevant physics and applying the relevant equations and simple models. The course reviews transportation electrification history, electric vehicle architecture, powertrain components and their modeling and control.
MAE 4871Fundamentals of Electric-Drive Vehicle Engineering4
The course covers the engineering fundamentals and basic design of electric-drive vehicles by analyzing the relevant physics and applying the relevant equations and simple models. The course reviews transportation electrification history, electric vehicle architecture, powertrain components and their modeling and control.
MAE 4900Individual and Group Projects in Mechanical Engineering1-4
Individual or group study or project for students who want to pursue a particular analytical, computational, or experimental investigation outside of regular courses or for informal instruction supplementing that given in regular courses. An engineering report on the project is required of each student. Students are expected to spend 3-4 hours per week per credit hour working on the project. Students must first make individual arrangements with a faculty sponsor and then submit an enrollment form, available online at https://www.mae.cornell.edu/mae/programs/undergraduate-programs/undergraduate-forms. Once approved, students will receive an enrollment pin to enroll in MAE 4900.
Special offering providing depth and/or breadth beyond the required mechanical engineering curriculum, in an applications area or discipline with connections to mechanical engineering. This course number is used for courses that are not a permanent part of the curriculum.
Critically examines the technology of energy systems that will be acceptable in a world faced with global climate change, local pollution, and declining supplies of oil. The focus is on renewable energy sources (wind, solar, biomass), but other non-carbon-emitting sources (nuclear) and lowered-carbon sources (co-generative gas turbine plants, fuel cells) also are studied. Both the devices and the overall systems are analyzed. The course explains calculations to support capacity, efficiency, and productivity of renewable energy. Cost and economics of renewables are explored as well, along with the connection to U.S. and global climate and energy policy.
Main features of energy conversion by wind turbines. Emphasis on characterization of the atmospheric boundary layer, aerodynamics of horizontal axis wind turbines, and performance prediction. Structural effects, power train considerations, siting and wind farm planning, offshore.
Introduction to spacecraft orbit mechanics, attitude dynamics, and the design and implementation of spaceflight maneuvers for satellites, probes, and rockets. Topics in celestial mechanics include orbital elements, types & uses of orbits, coordinate systems, Kepler's equation, the restricted three-body problem, interplanetary trajectories, the rocket equation and staging, Clohessy-Wiltshire equations and relative formation flight, drag and orbital decay, and propulsive maneuvers. Topics in attitude dynamics include kinematics, Euler's equations, stability of spinning spacecraft, attitude perturbations such as gravity-gradient and magnetic torques, equations of motion of rigid spacecraft with momentum actuators and thrusters, attitude maneuvers such as nutation control and reorientation, low-speed fluid behaviors, and elementary feedback control of linearized attitude and orbit dynamics. Principles of spacecraft propulsion technology and attitude-control technology are introduced along with the rocket equation and staging. The course includes discussions of current problems and trends in spacecraft operation and development.
Introduction to stability and control of atmospheric-flight vehicles. At the end of the course, students will be able toderive from first principles the differential equations governing the motion of flight vehicles, formulate appropriate simplifying assumptions, solve for the aircraft motion through analytical or numerical means, analyze the static and dynamic stability properties of a given aircraft, and explain expected aircraft piloting behaviors through rigorous engineering reasoning.
MAE 5080Scientific Machine Learning for Physical Modeling and Discovery3
This senior/graduate elective rigorously explores the interplay between conventional physics-based methods and modern data-driven AI approaches for modeling and discovering complex physical systems, including fluid dynamics, solid mechanics, and heat transfer. Students will build a deep understanding of the mathematical foundations and computational principles behind both physics-based solvers (e.g., finite-difference and finite-volume methods) and AI techniques (e.g., neural operators, generative models, and symbolic AI). Emphasis is placed on hybrid scientific AI frameworks that unify physical laws with data-driven models to solve forward and inverse problems in scientific computing, including predictive modeling, parameter inference, and equation discovery. Through theoretical analysis, algorithm development, and hands-on case studies, students will critically evaluate trade-offs in accuracy, scalability, robustness, and uncertainty quantification, and develop practical skills to innovate at the intersection of scientific computing and AI.
MAE 5100Numerical Methods for Fluids: From Foundations to AI-Enhanced CFD3
This course introduces the numerical methods and computational techniques for solving partial differential equations (PDEs) in fluids, heat transfer, and related transport phenomena. Students will study model PDEs to develop a rigorous foundation in discretization, truncation error, stability, and convergence. Core topics include finite difference and finite volume methods, explicit and implicit time-marching schemes, and iterative solvers for large linear systems. A distinctive emphasis is placed on the hands-on development of numerical solvers: students will implement algorithms in Python to simulate canonical problems (convection, diffusion, Poisson, Burgers equations) and extend them to the Navier–Stokes equations. Advanced modules introduce next-generation methods such as GPU acceleration, differentiable programming, and hybrid AI–PDE solvers. The course emphasizes algorithmic and computational foundations rather than commercial software.
MAE 5110Legged Robots: Learning, Dynamics, and Control4
This course focuses on giving students experience with deploying controllers on a complex real-world (legged) robot, and how to debug a complex system that relies not only on software but the hardware details. While the details/knowledge covered are centered around legged robots, the skills are relevant to any robot platform. You will learn how to model and control (largely with learning-based tools) a dynamically unstable system, and transfer the results from simulation to hardware. The course will include hands-on exercises building simple robots to develop physical intuition, and simple model-based analyses to make a strong connection between physics and the hardware design of the robot, and control or the software design. The core of the course is a team-project using reinforcement learning (RL) to control a legged robot.
Covers the fundamentals of mechanical analysis and material selection for composite materials. Topics include an overview of composite types, advantages, applications and fabrication; anisotropic elasticity; specific composite constitutive equations including plane stress and lamination theory; failure analysis; boundary value problems using composite materials; experimental methods and an introduction to micromechanics. Lectures cover essential background material and theoretical developments. Labs provide hands-on experiences for understanding composite materials properties and performance.
Analysis of GPS operating principles and engineering practice with a culminating design exercise. GPS satellite orbital dynamics, navigation data modeling, position/navigation/timing solution algorithm, receiver and antenna characteristics, analysis of error and accuracy, differential GPS.
MAE 5160Spacecraft Technology and Systems Architecture4
This course is a survey of contemporary space technology from subsystems through launch and mission operations, all in the context of spacecraft and mission design. It focuses on the classical subsystems of robotic and human-rated spacecraft, planetary rovers, and other space vehicles, as well as on contemporary engineering practice. This course includes an in-depth design activity suitable for MEng students. Topics covered include subsystem technologies and the systems-engineering principles that tie them together into a spacecraft architecture. Subsystem technologies discussed include communications, thermal subsystems, structure, spacecraft power, payloads (remote sensing, in-situ sensing, human life support), entry/descent/landing, surface mobility, and flight-computer hardware and software. The final project consists of architecting a complete spacecraft system with appropriate subsystems, with designs supported by parametric analysis and simulation.
Creating robots capable of performing complex tasks autonomously requires one to address a variety of different challenges such as sensing, perception, control, planning, mechanical design, and interaction with humans. In recent years many advances have been made toward creating such systems, both in the research community (different robot challenges and competitions) and in industry (industrial, military, and domestic robots). This course gives an overview of the challenges and techniques used for creating autonomous mobile robots. Topics include sensing, localization, mapping, path planning, motion planning, obstacle and collision avoidance, and multi-robot control.
The course focus is on systems level design and implementation of fast and dynamic autonomous robots. With the recent DIY movement, design of kinematic robots is largely becoming a software challenge. In dynamic robots, however, any latency or noise can be detrimental. We will design a fast autonomous car, explore dynamic behaviors, acting forces, sensors, and reactive control on an embedded processor, as well as the benefit of partial off-board computation. Students will learn how to derive design specifications from abstract problem descriptions and gain familiarity with rapid prototyping techniques, system debugging, system evaluation, and online dissemination of work.
MAE 5210Dimensional Tolerancing in Mechanical Design1
Designers use dimensional tolerances to limit spatial variations in mechanical parts and assemblies; the goals are interchangeability in assembly, performance, and cost. This course covers traditional limit tolerances briefly, but focuses mainly on modern geometric tolerances and their role in assembly control. Students learn how to represent assemblies in terms of mating and relational constraints, and how to design tolerances for relatively simple parts and assemblies.
MAE 5220Introduction to Internet of Things - Technology and Engagement4
This interdisciplinary design course aims to provide a holistic introduction to Internet of Things (IoT) and train students on the core technological and communication skills through community engagement and working on real-world applications. IoT has become an enabler for new economic activities and provides potentially cost-effective solutions to a wide range of societal challenges. Students team up with community partners throughout a semester to tackle a real-world problem using IoT technology. The project topics include, but are not limited to, energy, environmental, civic infrastructure monitoring. The project teams will apply engineering design principles and critically examine sensor selection, sensor deployment, wireless communication, data quality, security and privacy as well as value proposition for IoT-based solutions. The key learning outcome of this course is that students will grasp how to develop IoT-based technological solutions and become competent in communicating how to use the IoT technology responsibly to create positive societal impact.
Builds on the foundation of MAE 3230. The lectures emphasize on the physics and mathematical analysis of the subject. Topics include incompressible flows, compressible flows, and computational fluid dynamics. As an integral part of the course, you will learn numerical method and how to use ANSYS/Fluent to solve flow problems. The students will develop problem-solving skills, through which to cultivate an appreciation for the rich and complex structure of fluids, and appreciation for fundamental ideas in fluid dynamics.
Covers the fundamentals of computer-aided manufacture (CAM) and computer numerical control (CNC) programming. The course is a hands-on series on CAM and provides practical applications for the use of Gcode and solid modeling software, CNC mill and/or lathe setup, tool selection, and operation. An additional non-credit lab is required only for students wishing to obtain Emerson Lab machine certification. Certification is required for students wishing to use the CNC equipment in the Emerson Manufacturing Teaching Lab for team or research projects. The lab follows completion of the regular course and prepares students for the Emerson CNC Blue Apron test.
Successful component and system design is dependent on the ability to specify products that balance cost, performance, and component robustness. This course will consider methods for design optimization that are driven by an attention to manufacturing and assembly processes while maintaining consideration for functional sensitivities.
MAE 5270Design Failure Modes and Effects Analysis (DFMEA)1
In industry, engineers are often tasked with the mitigation of technical and functional risks associated with the development and launch of new products. A Design Failure Modes and Effects Analysis (DFMEA) is a controlled process by which a product concept, a customer specification, and other system functional requirements are transformed into a fully validated (robust) product design whose product risks can be recorded, minimized, and communicated to the greater organization prior to product launch. This course will explore the realization of validated designs through the utilization of the DFMEA process.
MAE 5310Advanced Thermodynamics of Multiphase Systems4
This course will provide a more advanced treatment of classical thermodynamics than is typically found in a first course on the subject. The emphasis will be on phase transitions of fluid systems. Topics include the following: stability of superheated liquids and supersaturated gases; second law limits of allowable fluid states; energetics and kinetics of nano-scale bubble formation in the bulk of a liquid and at a solid surface; transport equations for melting, solidification, bubble growth and droplet burning. Applications will include industrial considerations related to rapid evaporation relevant to vapor explosions, burning of fuel droplets, ink-jet printing, liquid natural gas spills, and nuclear reactor safety. Transport of two-phase flows will be summarized from a simplified perspective.
MAE 5340Innovative Product Design via Digital Manufacturing4
This hands-on/project-based course instructs students on methods to identify product concepts for machine designs with commercial potential. It combines lectures and field/lab activities on the new product development cycle: iterative design based on ethnographic fieldwork, team brainstorming, prototyping, testing/consumer feedback, and limitations set by mass manufacturing. Students -coming from diverse backgrounds and industry experience, and some currently working in different companies -will be teamed together to develop the new products. They will be given a common design challenge, and after observing and engaging with real users, they will identify specific needs; then based on those needs each team will end up with a different problem definition and a different product. Industry advisers from real world companies will provide constant feedback throughout the semester.Graduate students will be required to expand and/or focus on some aspects of the process/products.
MAE 5360Design and Simulation of Multiphase Flow Systems3
This course will introduce fundamental concepts of multiphase flow physics and explain their relevance in natural and engineered systems of societal importance. In this course, multiphase refers both to a carrier fluid laden with particles or two immiscible phases like water and air. State-of-the-art scientific computing strategies for modeling multiphase flows are presented and deployed in a series of case studies in which students will use, manipulate, and modify advanced algorithms in order to quantitatively predict the complex, highly non-linear behavior of these flows.
MAE 5390Cybersecurity for Cyber-Physical and Aerospace Systems3
The goal is to identify and analyze the unique cybersecurity challenges faced by cyber-physical systems, particularly within the constraints of assets like space systems and their infrastructure. The course will then focus on applying practical mitigation techniques to enhance the security of such critical infrastructure operations.
Combustion is an interdisciplinary field that combines chemistry, fluid mechanics, thermodynamics and heat transfer. This course is an introduction to combustion science, beginning with a review of thermodynamics, its application to combustion system analysis, and concepts of chemical kinetics. We will then discuss the nonequilibrium diffusive transport of heat, mass and momentum and introduce the general conservation equations for chemically reacting flows. The transport laws and governing equations are then applied to several flame configurations. Finally, the basic structure of premixed and non-premixed flames are analyzed, and practical applications of these principles in transportation, propulsion, power generation, and industrial processes are discussed.
This course will overview the physical princples governing existing spacecraft thermal management technologies, including conductive and radiative heat transfer, passive and active fluid transport, and ablation. One focus of the class is on thermal protection, which consists of materials and systems designed to protect spacecraft from extreme temperatures, particularly during atmospheric entry. Additionally, we discuss thermal control systems, which maintain all vehicle surfaces and compnents within an appropriate temperature range throughout all mission phases. Integral to the class is the reading and discussion of scientific research articles on the topics of spacecraft thermal control and protection.
MAE 5450Additive Manufacturing: Process Physics, Materials, Properties and Post Processing3
In this course, we'll start by covering the fundamentals of additive manufacturing (AM), introducing you to various techniques like extrusion, powder bed fusion, photopolymerization, material jetting, binder jetting, direct energy deposition, and laminated object manufacturing. You will also explore the crucial post-processing steps that enhance the quality and functionality of 3D printed objects. We'll also dive into the compatibility of materials with each AM process, enabling you to make informed material choices for your specific projects. Throughout the course, you'll develop the expertise to select the most suitable AM technique for various design challenges and manufacturing problems, optimizing efficiency and cost-effectiveness. Real-world case studies from diverse industries will provide practical insights, helping you analyze project strengths and weaknesses and apply this knowledge to future applications. This course offers an accessible gateway to the exciting world of additive manufacturing.
Energy Seminars will explore energy-related topics of emerging, contemporary and historical interest. An abbreviated list of subjects explored in the seminars includes: global energy resources, energy generation technologies (present and future), energy storage options, environmental impacts and climate change mitigation, energy policy, and energy delivery economics and systems. Seminar speakers will be distinguished practicing engineers and executives from industry and government as well as faculty members from several departments at Cornell, and other academic institutions. Students from any department in Engineering or the Physical Sciences should find these talks informative.
Energy Seminars will continue to explore energy-related topics of emerging, contemporary and historical interest. An abbreviated list of subjects explored in the seminars includes: global energy resources, energy generation technologies (present and future), energy storage options, environmental impacts and climate change mitigation, energy policy, and energy delivery economics and systems. Seminar speakers will be distinguished practicing engineers and executives from industry and government as well as faculty members from several departments at Cornell, and other academic institutions.
Introduction to air and rocket propulsion. Emphasis on air-breathing gas-turbines. Chemical rocket propulsion. Brief discussion of of ramjets and of propellers. Application of thermodynamic and fluid-mechanical principles to analysis of performance and design, including fuel efficiency and environmental impacts.
An advanced treatment of conduction and convection from a theoretical perspective. Topics include: conservation of linear momentum in integral and differential forms; steady state and transient conduction; boundary layer flows with emphasis on laminar conditions; scale analysis; forced and natural convection; internal and external flows; fundamentals of radiative exchange between surfaces and relationship to problems of environmental importance (e.g., global climate change); numerical simulation to solve conduction and convection problems.
MAE 5530Computer-Aided Engineering: Applications to Biological Processes3
Introduction to simulation-based design as an alternative to prototype-based design; modeling and optimization of complex real-life processes for design and research, using industry-standard physics-based computational software. Emphasis is on problem formulation, starting from a real process and developing its computer model. Modeling application (project) can be biomedical (thermal therapy and drug delivery) or broader biological and bioenvironmental applications that involve heat transfer, mass transfer, and fluid flow. Computational topics introduce the finite-element method, model validation, pre- and post-processing, and pitfalls of using computational software. Students choose their own semester-long project, which is a major part of the course (no final exam). Students in BEE/MAE 5530 will expand (beyond 4530) the developed model in areas such as physics, geometry, properties, and validation.
This course provides the contextual and physical framework to understand and design space propulsion devices for orbiting spacecraft and satellite systems. An introduction to the basic principles of propulsion and performance metrics in the context of space missions are presented. Key physics underlying the operation of propulsion devices are covered. Specifically, the design and performance of ion engines, Hall thrusters, electrospray thrusters, and emerging propulsion concepts are covered.
This hands-on course instructs on strategies to invent - make - and disseminate products that solve an identified need. These products can be consumer, enterprise, research, for profit or non-profit. The lectures will primarily be discussion based on assigned readings and tasks, and guest lectures from domain experts. The course combines lectures and field/lab activities on the new product development cycle: invention based on bioinspiration, iterative design based on customer discovery, team brainstorming, prototyping, testing/consumer feedback, and manufacturing innovation.
Application of mechanics and materials principles to orthopaedic tissues. Physiology of bone, cartilage, ligament, and tendon and the relationship of these properties to their mechanical function. Mechanical behavior of skeletal tissues. Functional adaptation of these tissues to their mechanical environment. Tissue engineering of replacement structures.
This course will provide foundations of polymer mechanics building from the basics of mechanics of materials. The focus will be split between experimental methods/data interpretation and modeling approaches. Topics will include: hyper-elasticity, viscoelasticity, glass transition temperature, and plasticity with applications to both synthetic and biological materials. There will also be a scientific literature reading component through which students will be able to pick their own focus areas in the latter part of the semester.
Introduces concepts of biomechanics applied to understanding the material behavior of soft tissues. Topics include finite strain, nonlinearities, constitutive frameworks, and experimental methodologies. Tissues to be modeled include tendons, blood vessels, heart valves, cartilage, and engineered tissues.
MAE 5700Finite Element Analysis for Mechanical and Aerospace Design4
Introduction to linear finite element static analysis for discrete and distributed mechanical and aerospace structures. Prediction of load, deflection, stress, strain, and temperature distributions. Major emphasis on underlying mechanics and mathematical formulation. Introduction to computational aspects via educational and commercial software (such as MATLAB and ANSYS). Selected mechanical and aerospace applications in the areas of trusses, beams, frames, heat transfer and elasticity. A selection of advanced topics such as dynamic modal analysis, transient heat transfer, or design optimization techniques may also be covered, time permitting.
MAE 5720Advanced Applications of Finite Element Analysis Using Ansys2-3
This course prepares students to solve industry-relevant problems in structural mechanics and dynamics using Ansys simulation software. This is a problem-based course where students will learn finite-element applications by solving practical problems involving realistic 3D CAD geometries. Applications considered include pressure vessel stress analysis, wind turbine blade buckling, turbine disk vibration, electronics enclosure dynamics and robot arm motion. The focus will be on developing a strong conceptual understanding of what's inside the simulation blackbox so as to move beyond garbage-in, garbage-out. Verification and validation of simulation results is emphasized throughout. Rigid-body dynamics applications will also be covered. Concepts, solution approaches and best practices learned will be applicable to the use of other industry-standard simulation software. Suitable for both on-campus and distance learning students.
The course emphasizes the classical dynamics of single- and multi-degree-of-freedom systems made up of particles, rigid-objects in 2 and 3 spatial dimensions. Three approaches are used: the Newton-Euler and Lagrangian approach, both using minimal coordinates, and also a 'maximal coordinate' approach using differential algebraic equations (DAEs). The course emphasizes finding equations of motion, solving them analytically (if possible) and numerically; and graphical presentation of solutions, including animations.
MAE 5770Structural Dynamics and Vibration Analysis3
Dynamic loads can break bridges and airplane wings even when the forces are deemed small and safe by static analysis. How can this be? To answer this question, we will explore powerful analytical and computational tools to predict the dynamic responses of mechanical and structural systems.
This course covers the analysis and design of linear feedback systems in both the frequency and time domains. The course includes a laboratory that examines modeling and control of representative dynamic processes. The frequency domain aspects are analyzed via Laplace transforms, transfer functions, root locus, and frequency response methods. The time domain aspects are analyzed via state space models, stability, controllability, observability, state feedback, and observers.
An introductory course on robot perception techniques for modeling, fusing, and interpreting heterogeneous and dynamic sensor measurements in the context of robot motion and uncertain environments. The course covers sensor modeling, artificial vision, acoustic sensing, and probabilistic filtering methods. Emphasis is placed on intelligent sensor fusion, object detection and classification, tracking, localization and mapping, exploration, and information-driven motion planning. Algorithms inspired by neural networks, Bayesian networks, graphical models, and information theory are examined. Students investigate perception-driven decision making through benchmark problems such as coverage, target search, tracking, and pursuit-evasion. Applications are drawn from environmental monitoring, surveillance, sensing-and-pursuit games, and human-robot interaction.
This course provides a brief review of several topics in sufficient detail to amplify student success: estimation, allocation, and control; classical feedback; sensor noise; and Monte Carlo analysis. The review leads to application of the methods of Pontryagin applied to examples including single-gimballed rocket engines, guidance, and control problems including least squares estimation, and the famous Brachistochrone problem as a motivating example illustrating the minimum time solution is not necessarily the minimum path-length solution, particularly in a gravity field. After taking this course, students will be able to apply their expertise to actual systems in advanced courses or in laboratory settings leveraging analytic (non-numerical) nonlinear programming and real-time optimal control. Graduates will understand the application of constrained (smooth constrained, box constrained, with brief introduction to inequality constrained) and unconstrained optimization; linear-quadratic programming; and Bellman's principle of optimality.
Selected topics in the analysis and design of vehicle components and vehicle systems. Emphasis on automobiles. Engines, transmissions, suspension, brakes, and aerodynamics are discussed. The course uses first principles and applies them to specific systems. The course is highly quantitative, using empirical and analytical approaches.
MAE 5870Fundamentals of Electric-Drive Vehicle Engineering4
The course covers the engineering fundamentals and basic design of electric-drive vehicles by analyzing the relevant physics and applying the relevant equations and simple models. The course reviews transportation electrification history, electric vehicle architecture, powertrain components and their modeling and control.
Fundamental ideas of systems engineering, and their application to design and development of various types of engineered systems. Defining system requirements, creating effective project teams, mathematical tools for system analysis and control, testing and evaluation, economic considerations, and the system life cycle.Content utilizes model-based systems engineering, which is the integration of systems modeling tools, such as SysML, with tools for systems analysis, such as Matlab and Modelica. The vision for this integration is the ability to create and analyze complete parametric representations of complex products and systems. These systems make it possible to investigate the impact of changing one aspect of a design on all other aspects of design and performance. This course will familiarize students with these modeling languages. Off-campus students must provide their own Windows 7, internet-connected, computer with administrator access in order to install the commercial software used in this course.
MAE 5920Systems Analysis Behavior and Optimization3
This is an advanced course in the application of analytical methodologies and tools to the analysis and optimization of complex systems. On completion of this course, students should be able to use probability and statistics as a modeling and analysis tool for systems exhibiting uncertainty; be able to use algorithms and dynamic programming to model and optimize systems with a recursive structure; be able to use optimization tools to optimize complex systems and tune parameters.
MAE 5930Systems Engineering and Six Sigma for the Design and Operation of Reliable Systems3-4
Develops skills in the design, operation and control of systems for reliable performance. Focuses on four key themes; risk analysis (with a particular emphasis on risk assessment and risk characterization), modeling system reliability (including the development of statistical models based on accelerated life testing), quality control techniques and the optimization of system design for reliability. Six Sigma Green or Blackbelt can be earned through activities associated with course. Students in distance-learning programs enroll in SYSEN 5100.
MAE 5940Professional Development for Master of Engineering in MAE1
Covers tools needed to build skills for career development and the job search. Also covers a process to organize, complete and present the Master of Engineering Project.
Weekly meeting for master of engineering students. Discussion with industry speakers and faculty members on the uses of engineering in the effective and efficient design, manufacturing, marketing, distribution, sustainment, and retirement of goods and services.
MAE 5950Theory and Practice of Systems Architecture3
Every system has an architecture (its essence, or DNA), i.e., a high-level abstraction of its design that provides a unifying concept for detailed design and commits most of the system's performance and lifecycle cost. This course presents the frameworks, methods, and tools required to analyze and synthesize system architectures. The course has a theory part that emphasizes synergies between humans and computers in the architecture process, and a practical part based on a long project and guest lectures by real system architects. The theory part covers topics such as architecture views, layers and projections, stakeholder networks, dealing with fuzziness, automatic concept generation, architecture space exploration, patterns and styles, heuristics, and knowledge engineering. The practice part focuses on special topics such as commonality, platforming, reuse, upstream and downstream influences, and software architecture.
Foundations of fluid mechanics from an advanced viewpoint, including formulation of continuum fluid dynamics; kinematic descriptions of fluid flow, derivation of the Navier-Stokes equations and energy equation for compressible fluids; and sound waves, viscous flows, boundary layers, and potential flows.
The Space Structures class introduces students to mechanical concepts used in the realization of lightweight structures, their application to space systems, and the scientific methods employed to assess their performance. The class provides the analytical foundations to analyze modern structures that fold, deploy, and undergo large deformations, as well as a methodology to design them.
This two-part course is aimed at giving students a knowledgebase to (i) fundamentally understand contact, friction, and wear mechanisms and (ii) design surface engineering processes for a desired tribological performance. The first part of the course covers fundamental science relevant to surfaces. Mechanics of contact at different length-scales, the origin of the frictional force, the use of lubrication to reduce friction, and different wear mechanisms, from adhesive to abrasive and erosive, will be discussed in the first part. The second part of the course will cover an overview of different surface modification processes and coating technologies with an emphasis on the physics of the process.
This course delves into the metallurgical fundamentals of the mechanical behavior of metals, alloys, and metals matrix composites. Students will engage in an in-depth study of the mechanisms of deformation and failure in these materials from a microscopic and/or atomistic point of view. The key role of dislocations in plastic deformation of metallic materials as well as their strengthening mechanisms will be discussed in depth. Deformation mechanisms under extreme conditions such as at high temperatures and high strain rates will be discussed. Students will also learn about the deformation mechanisms in non-conventional alloys including nanocrystalline alloys, complex concentrated alloys (high entropy alloys), and metallic glasses. Through theoretical discussions and case studies, students will gain expertise in designing structural materials for real-world applications.
MAE 6060Spacecraft Attitude Dynamics, Estimation, and Control3
The focus is on spacecraft attitude dynamics and its application in core space-systems areas: mission design, operations, and autonomy. Also introduces the problem of attitude estimation and treats aspects of guidance, navigation, and control unique to the context of space mission design. Readings and lectures include examples based on flight data.
An in-depth introduction to the fundamentals of kinematics of deformation, traction and stress, and balance of momentum. Constitutive theory for linear and nonlinear elastic bodies, including isotropic and orthotropic behaviors, restrictions from symmetry and strain energy, and length scale limitations stemming from a material's physical structure. Boundary conditions, requirements for well-posed problems, and uniqueness. Basic theorems and principles for elastostatics, with emphasis on virtual work, upper and lower bounds, and superposition.
MAE 6130Foundations and Frontiers of Engineered Living Materials3
This course will provide foundational knowledge to work in the interdisciplinary field of engineered living materials. Topics will include structure-funtion relationships in different organisms; culturing techniques; genetic engineering and sequencing techniques; mechanical, electrochemical, and optical characterization methods; and biological system modeling.
This course will present an introduction to the state variable modeling framework, which is used for the representation of a broad range of material behaviors and material systems, including metals, polymers, and composites; anisotropy and rate and temperature dependent plasticity. Implicit in the state variable method is the representation of processes at small size scales within the constitutive response at the macroscale. Experimental quantification of state variables will also be explored.
Intended as a first graduate-level course on Computational Fluid Dynamics (CFD), with focus on flows for which compressibility effects can be neglected. Includes topics ranging from discretization techniques to solution methods for linear and non-linear, steady and unsteady problems. Advanced concepts such as multigrid methods, verification and validation, and reactive flows simulations will be introduced. Builds upon a required fluid mechanics background, providing a more detailed discussion of governing equations and presenting computational methods for generating approximate solutions. In this project-based course, students will build a CFD code during the course of the semester, integrating various techniques as they are discussed in class.
This course will provide the foundations for applied multiscale computational mechanics through a hands-on approach. The focus will be primarily on particle-based methods that emphasize practical usages of open-source software in a Linux environment, such as Python, ORCA, Quantum Espresso, LAMMPS, and NAMD. Topics will include introductory levels of python programming, quantum mechanics, density functional theory, statistical mechanics, molecular dynamics, and multiscale coupling methods with broad applications in characterizing the structural, mechanical, and thermal properties for both organic and inorganic materials.
Introduction to experimental techniques, data collection, and data analysis, in particular as they pertain to fluid flows. Introduces theory and use of analog transducers, acoustic Doppler velocimetry (ADV), full-field (2-D) quantitative imaging techniques such as particle image velocimetry (PIV) and laser induced fluorescence (LIF). Additional topics include computer-based experimental control, analog and digital data acquisition, discrete sampling theory, digital signal processing, and uncertainty analysis. The canonical flows of the turbulent flat plate boundary layer and the neutrally buoyant turbulent round jet are introduced theoretically and the subject of three major laboratory experiments using ADV, PIV and LIF. There is a final group project on a flow of the students choosing.
Topics include the nature of turbulence and its physical manifestations, statistical description and scales of turbulent motion, turbulent free shear flows and wall bounded flows, Reynolds-averaged Navier-Stokes equations and closure models, introduction to large-eddy simulation, and mixing and reaction in turbulent flows.
MAE 6340Advanced Optical Metrology for Sustainability3
MAE 6340 is an introductory course of advanced optical metrology and its applications in sustainability. Innovative solutions to emerging sustainability challenges of energy crisis, water scarcity, and carbon emission require mechanistic understanding of fundamental conversion and transport processes of energy carriers and essential species in materials and devices. Advanced optical microscopy and spectroscopy have become ubiquitous tools to enable in-situ characterization with unprecedented details, from detecting single-molecule behaviors in carbon reduction to probing femtosecond-scale electron-photon interaction during energy conversion. Topics of the course cover (1) fundamentals of wave propagation and light-matter interactions with both classical and quantum treatments, (2) working principles of various optical microscopy and spectroscopy metrology tools, including wide-field, confocal, fluorescence, near-field, super-resolution, and pump-probe techniques, and (3) applications of these optical metrology tools in materials and devices associated with clean energy production, water harvesting, and carbon reduction.
Wave energy converters, offshore wind turbines, liquified natural gas (LNG) vessels, and autonomous underwater vehicles are some examples of offshore systems that are affected by ocean waves. This course presents the analytical framework to analyze the interactions these types of systems and ambient ocean waves. We begin by discussing surface wave theory and properties of regular surface waves and random ocean waves. We then discuss the linearized theory of floating body dynamics along with kinematic and dynamic free surface conditions and body boundary conditions that arise in the ocean setting. We consider simple harmonic motions and both diffraction and radiation problems of waves. We derive key hydrodynamic coefficients of offshore systems such as added mass, damping, and stiffness. Finally, we discuss ship seakeeping in regular and random waves. Throughout the course, examples and homework problems are drawn from real-world applications such as offshore wind turbines.
MAE 6450Advanced Topics in Metal Additive Manufacturing3
This course delves into three distinct categories of metal additive manufacturing processes, each governed by unique principles: solidification-based techniques, sintering-dependent methods, and solid-state bonding processes. Students will explore the intricacies of powder bed fusion and direct energy deposition, where solidification mechanisms play a pivotal role in controlling microstructure formation. The course will provide a comprehensive understanding of how factors such as heat transfer, cooling rates, and alloy composition influence solidification behavior in these processes. Additionally, students will examine indirect metal printing methods, including extrusion, stereolithography, and binder jetting, which rely on sintering to fuse metal powders together. Detailed discussions will cover the sintering process, its underlying mechanisms, and its impact on the final properties of printed parts. Furthermore, the course will delve into metal additive manufacturing processes based on solid-state bonding, such as cold spray and sheet lamination. Students will explore the principles of solid-state bonding, including diffusion bonding and mechanical interlocking, and understand how these processes are applied to join metal powders/sheets without melting. Throughout the course, major alloys commonly used in metal additive manufacturing, such as Ni-based alloys, titanium alloys, steels, and aluminum alloys, will be discussed. Common defects encountered in metal printing technologies, post-processing steps for defect removal, and in situ monitoring techniques for defect mitigation will also be covered, ensuring students gain a comprehensive understanding of quality assurance in metal AM.
A graduate-level survey course on the engineering problems associated with the remote and in-situ exploration of space, with a particular focus on current and near-future practices and tools. Topics covered include science-driven robotic and human exploration of the solar system, astrophysical observatories, and exoplanet detection and characterization.
This course covers the physics, thermodynamics, and mechanics of ionized fluids for propulsion applications. This course begins by introducing principles of statistical thermodynamics to derive distribution functions for the fluid description of charged particles. Electrohydrodynamic and magnetohydrodynamic continuum models are introduced and applied to equilibrium problems ranging from the transport of a multi-species charged liquid in a propellant reservoir to the acceleration of a supersonic plasma flow. Both continuum and kinetic approaches are applied to understand the key principles and non-linear phenomena pertinent to the design and operation ion engines, Hall thrusters, and generic ion plumes.
Covers introductory concepts in tissue engineering, including polymeric biomaterials used for scaffolds, mechanisms of cellbiomaterial interaction, biocompatibility and foreign body response, cell engineering, and tissue biomechanics. This knowledge is applied to engineering of several bodysystems, including the musculoskeletal system, cardiovascular tissues, the nervous system, and artificial organs. These topics are discussed in the context of scale-up, manufacturing, and regulatory issues.
MAE 6670Soft Tissue Biomechanics II: Viscoelasticity and Phasic Theory3
Application of mechanics and materials principles to orthopaedic soft tissues. Mechanical properties of cartilage, tendon, and ligaments; applied viscoelasticity theory for cartilage, tendon, and ligament; cartilage, tendon, and ligament biology; tendon and ligament wound healing; osteoarthritis.
Introduction to clinical and biological aspects of cancer, organized primarily for a physical science and engineering audience that is interested in the topic but not necessarily steeped in biological training. Stress on description of current understanding and current clinical practice but not the history and process that has led to that understanding. In addition to the biological and medical aspects of cancer, engineering/chemistry/physics aspects of the process e.g., transport, reaction rates, tumor growth models will be discussed at a quantitative level when relevant to system-level understanding of cancer. Topics: Nature and hallmarks of cancer. Introductory human cell biology and modes of dysregulation by carcinogenesis. Cell cycle, aberrant mitogens, dysregulation of checkpoints. Framework and notation for describing reaction networks. Genetic foundations of cancer phenotype--germline and somatic. Tumorigenesis and metastasis. Clinical staging and medical management of the most common human cancers, including breast, prostate, lung, pancreas, colon, leukemia, lymphoma. Information on the course is summarized at blogs.cornell.edu/cancerforengineers.
This course offers an in-depth look at several contemporary approaches to classical mechanics, i.e. the kinematics and kinetics of systems of particles and bodies that may be rigid or elastic. Frames of reference, coordinate systems, vector kinematics, and concepts of energy and momentum are considered in the most general terms. Analytical methods include Kane's formulation, Hamilton's equations, and the Udwadia-Kalaba method. Holonomic and non-holonomic systems are considered in this context. The course introduces concepts in differential geometry as well as the stability and control of such systems.
MAE 6710Human-Robot Interaction: Algorithms and Experiments3
As robots move from factory floors and battlefields into homes, offices, schools, and hospitals, how can we build robotic systems made for human interaction? Course will cover core engineering, computational, and experimental techniques in human-robot interaction (HRI). Lectures will cover key algorithms in Probabilistic Robotics, including Bayesian Networks, Markov Models, HMMs, Kalman and Particle Filters, MDP and POMPD, Supervised Learning, and Reinforcement Learning. Seminal and recent papers in HRI will be discussed, including topics such as: generating intentional action, reasoning about humans, social navigation, teamwork and collaboration, machine learning with humans in the loop, and human-robot dialog. Students will learn methods for designing and analyzing HRI experiments. Presentation of papers in class, and an HRI-related research project in teams will be required. Intended for M.Eng to PhD students from multiple disciplines including MAE, CS, ECE and IS.
A graduate level course in astrodynamics and trajectory design. Course topics include a brief review of the two body problem, impulsive transfers, and perturbations; orbit determination and one-way ranging; algebraic and symplectic mappings and surfaces of section; the circular and elliptical 3-body problem, invariant manifolds and 3-body orbit design; secular and resonant perturbations; finite and continuous thrust modeling and transfer design. The course will emphasize numerical methods and building deep understanding of modern approaches to orbital design problems. Familiarity with basic orbital mechanics (at the level of MAE 4060 or equivalent) and numerical integration of dynamical systems will be assumed.
Robot manipulation is the ability for a robot to interact physically with objects in the world and manipulate them towards completing a task. It is one of the greatest technical challenges in robotics, due primarily to the interplay of uncertainty about the world and clutter within it. As robots become integrated into complex human environments, robot manipulation is increasingly necessary to assist humans in these unstructured environments. Robotic manipulation will enable applications like personal assistant robots in the home and factory worker robots in advanced manufacturing. This course is a mixture of lectures and paper presentations and covers the fundamental theory, concepts, and systems of robot manipulation, including both software and hardware. Topics we will cover this semester include perception, state estimation, robot arm kinematics and dynamics, task and motion planning, machine learning, controls, human-robot interaction towards various robot manipulation tasks. The course features a semester-long group project in which students propose, formalize, and execute a working robotic manipulation system towards a real-world task. The scope of possible components is quite broad and extends beyond traditional robotics issues into other aspects of CS. This course is offered to prepare a student for Ph.D. research in robot manipulation. Graduate standing or permission of the instructor is required. Proficiency in C++ or Python and familiarity with ROS is required.
MAE 6755Finite Element Method: Theory and Applications in Mechanics and Multiphysics3
This class is an intermediate-level course on the linear Finite Element Method (FEM) for graduate engineering students. The students will learn to: set up the strong formulation of mechanical, hydraulic, thermal, and coupled problems, write the variational formulation, discretize the weak form in space and time, choose a resolution algorithm, write an input file for a FEM software, and interpret numerical results. Applications will focus on climate change and energy. First, one-dimensional problems will be solved for one dependent variable, e.g., elongation, fluid flow, heat transfer. Second, hydro-mechanical equations for two-phase porous media will be introduced and applied to consolidation problems. Next, 2D space discretization and numerical integration will be explained and applied through simulation and analysis of problems of plane elasticity and seepage. The course will conclude with the modeling unsaturated porous media with applications to geological storage, evapo-transpiration, and subsidence.
Course covers a variety of ways in which models and experimental data can be used to estimate model quantities that are not directly measured. Covers methods for solving the class of inverse problems that take the following form: given partial information about a system, what is the behavior of the whole system? Main estimation methods presented are batch least-squares-type estimation for general problems and Kalman filtering for dynamic system problems. Course deals with the issue of observability, which amounts to a consideration of whether a given inverse problem has a unique solution, and briefly covers the concept of statistical hypothesis testing. Techniques for linear and nonlinear models are taught. Both theory and application are presented.
How can we guarantee robots will never cause harm? How can we prove that complicated mechanical systems, controlled by computers and programmed by people, will always behave as expected under changing conditions and in a variety of uncertain environments? How do we formalize what such behaviors are? Guaranteeing safety, predictability and reliability of robots is crucial for the assimilation of such systems into society, be it at home or in the workplace. While every robotics researcher working with or on a robot is aware of safety issues, only recently the robotics community has begun looking at ways to either formally prove or grarantee by design different behavioral properties such as safety and correctness. This class will present recent results on the topic of formal methods for robotics and automation that combine and extend ideas from control theory, dynamical systems, automata theory, logic, model checking, synthesis, and hybrid systems.
Introduction to multivariable feedback control theory in both time and frequency domain. Topics include model-based control, performance limitations, Linear Quadratic and H-infinity optimal control, control synthesis vis convex optimization, and model predictive control. Additional topics at the discretion of the instructor.
Study of the design and control of haptic systems, which provide touch feedback to human users interacting with virtual environments and teleoperated robots. Focus is on device modeling (kinematics and dynamics), synthesis and analysis of control systems, design and implementation, and human interaction with haptic systems. Coursework includes homework/laboratory assignments, a research paper presentation, and a hands-on project. Directed toward graduate students in engineering and computer science. Prerequisites: dynamic systems, feedback controls, and MATLAB programming.
This course provides a brief review of several topics in sufficient detail to amplify student success: estimation, allocation, and control, classical feedback, sensor noise, and Monte Carlo analysis. The review leads to application of the methods of Pontryagin applied to examples including single-gimballed rocket engines, guidance, and control problems including least squares estimation, and the famous Brachistochrone problem as a motivating example illustrating the minimum time solution is not necessarily the minimum path-length solution, particularly in a gravity field. After taking this course, students will be able to apply their expertise to actual systems in advanced courses or in laboratory settings leveraging analytic (non-numerical) nonlinear programming and real-time optimal control. Graduates will understand the application of constrained (smooth constrained, box constrained, with brief introduction to inequality constrained) and unconstrained optimization; linear-quadratic programming; and Bellman's principle of optimality.
MAE 6870Engineering Collective Intelligence: Methods in Multi-Agent Coordination3
Decentralized, self-organizing systems are the future of autonomous technology. Large numbers of self driving cars, ground robots, delivery drones, and mobile sensors are being rapidly deployed into the open world. It is imperative that these systems are capable of proactive collaboration to operate safely and cohesively in dynamic environments. This course will provide an overview of state-of-the-art methods for the design of decentralized coordination in groups of communicating agents, with a focus on mathematical fundamentals and code implementation. A particular emphasis will be placed on nonlinear methods grounded in biological and cognitive principles that give rise to collectively intelligent behaviors in nature. Possible topics covered include collective decision-making, synchronization, and task allocation, with applications to collaborative navigation and collision avoidance.
MAE 6900Special Investigations in Mechanical and Aerospace Engineering1-8
The Master of Engineering Project adds real world, applied experience to an MEng Program. Projects are the centerpiece of the program, leveraging new and learned subject matter to highlight engineering skills in ways that mirror employment after school. Projects are done in a focus area, under an advisor's direction, usually a faculty member, but also corporate partners. Projects are applied, utilizing engineering tools to complete a a design, an apparatus, a process, or an analysis.
This course is designed to allow students to pursue individual learning or topics not covered by existing curriculum that relate to a focus area. Students are required to have a faculty advisor or supervisor for the course. Each course is individualized based on a plan of study negotiated between the student and faculty. Students work independently, and faculty provide guidance and supervision. An independent study must be approved by the Master of Engineering Director. A maximum of four credits will the allowed.
MAE 6949Seminar for M.S. and First-Year MAE Ph.D. Students1
Mandatory course for all M.S. and first-year Ph.D. students in the Sibley School of Mechanical and Aerospace Engineering. An ongoing orientation and mentoring seminar for M.S. and first-year Ph.D. students that includes research presentations by faculty and students as well as discussions and assignments on such topics as academic ethics, writing technical papers, and publishing.
Special offering providing depth and/or breadth beyond the required mechanical engineering curriculum, in an applications area or discipline with connections to mechanical engineering. This course number is used for courses that are not a permanent part of the curriculum.
MAE 7750Introductory Nonlinear Finite Element Analysis for Solids3
The focus of this course is the development of the fundamentals of nonlinear finite element analysis for continuum solids, spanning topics from finite element formulations, functional analysis, numerical solution techniques to aspects of practical implementation. Most natural phenomena are nonlinear, so the main aim of this course is the development of an adequate framework to model nonlinear phenomena in solids and obtain approximate solutions. We will focus on several problems for solid mechanics, including material nonlinearities, geometric nonlinearities, contact mechanics, and multiphysics problems. All assignments will include coding.
Topics include review of planar (single-degree-of-freedom) systems; local and global analysis; structural stability and bifurcations in planar systems; center manifolds and normal forms; the averaging theorem and perturbation methods; Melnikov's method; discrete dynamical systems, maps and difference equations, homoclinic and heteroclinic motions, the Smale Horseshoe and other complex invariant sets; global bifurcations, strange attractors, and chaos in free and forced oscillator equations; and applications to problems in solid and fluid mechanics.
Continuum mechanics is the basis for a vast array of problems in modern and classical engineering. The focus of this course is the development of the fundamentals of continuum mechanics and thermodynamics which will allow for description of complex phenomena in solids, fluids, and mixtures (solid-fluid) and quickly take us to modern and exciting topics of coupled problems in multiphysics problems in solids as well mechanics of soft and biological materials. Most natural phenomena are nonlinear, so the main aim of this course is the development of an adequate framework to model nonlinear phenomena in solids. The models that will be developed to capture physcial phenomena, can be solved analytically or numerically; towards the latter, a connection of the proposed modeling with the Finite Element Method in the context of multiphysical modeling will be covered.
MAE 7999Mechanical and Aerospace Engineering Colloquium1
MAE 7999 is a weekly seminar series featuring invited speakers both internal and external. Topics range the areas in Mechanical and Aerospace Engineering. The purpose of MAE 7999 is twofold: (a) to expose students to current research activities, challenges, and opportunities on the frontiers of Mechanical and Aerospace engineering, and (b) to improve student presentation skills by attending and critiquing presentations.
