Mechanical Engineering Courses (MECHENG)

*For more information regarding course equivalencies please refer to the Course Equivalency section, under “How to Read a Course Description“, in the CoE Bulletin Website: https://bulletin.engin.umich.edu/courses/course-info/

200 Level Courses

MECHENG 211. Introduction to Solid Mechanics
Prerequisite: Physics 140 & 141, and (Math 116 or Math 121 or 156.) “Minimum grade of “C” required for enforced prerequisites. (4 credits)
Statics: moment and force resultants, equilibrium. Mechanics of deformable bodies: stress/strain, classification of material behavior, generalized Hooke’s law. Engineering applications: axial loads, torsion of circular rods and tubes, bending and shear stresses in beams, deflection of beams, combined stresses, stress and strain transformation. Four lecture classes per week. CourseProfile (ATLAS)

MECHENG 235. Thermodynamics I
Prerequisite: Chem 130 & 125 or Chem 210 & 211, and (Math 116 or Math 121 or Math 156.) Minimum grade of “C” required for enforced prerequisites. (3 credits)
Introduction to engineering thermodynamics. First law, second law system and control volume analyses; properties and behavior of pure substances; application to thermodynamic systems operating in a steady state and transient processes. Heat transfer mechanisms. Typical power producing cycles and refrigerators. Ideal gas mixtures and moist air applications. CourseProfile (ATLAS)

MECHENG 240. Introduction to Dynamics and Vibrations
Prerequisite: Physics 140 &141, and preceded or accompanied by (Math 216 or Math 156.) Minimum grade of “C” required for enforced prerequisites. (4 credits)
Vector description of force, position, velocity and acceleration in fixed and moving reference frames. Kinetics of particles, of assemblies of particles and of rigid bodies. Energy and momentum concepts. Euler’s equations. Moment of inertia properties. The simple oscillator and its applications. CourseProfile (ATLAS)

MECHENG 250. Design and Manufacturing I
Prerequisite: Math 116 or equivalent (Math 119 or Math 121 or Math 156 or Math 176 or Math 186 or Math 296) and (ENGR 101 or ENGR 151 or EECS 183 ). Minimum grade of “C” required for enforced prerequisite. (4 credits)
Basics of mechanical design: visual thinking, engineering drawing, and machine anatomy. Basics of manufacturing: processes, materials and thermofluid aspects. Use of computers in various phases of design and manufacturing. Exposure to CAD systems and basic machine shop techniques. Design/manufacturing project. Three hours lecture and two hours laboratory CourseProfile (ATLAS)

MECHENG 290. RISE 2 – Research, Innovation, Service and Entrepreneurship
Prerequisite: permission of instructor. (1-3 credits)
Project work where students must apply ME principles to research, innovation, service or entrepreneurship. The student submits a proposal and a poster, and presents the poster at the ME Undergraduate Symposium. Projects are overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

300 Level Courses

MECHENG 305. Introduction to Finite Elements in Mechanical Engineering
Prerequisite: MECHENG 211. (3 credits)
Introduction to theory and practice of the finite element method. One-dimensional, two-dimensional and three dimensional elements are studied, including structural elements. Primary fields of applications are strength of materials (deformation and stress analysis) and dynamics and vibrations. Extensive use of commercial finite element software packages is applied through computer labs and graded assignments. CourseProfile (ATLAS)

MECHENG 311. Strength of Materials
Prerequisite: MECHENG 211, Math 216. (3 credits)
Energy methods; buckling of columns, including approximate methods; bending of beams of asymmetrical cross-section; shear center and torsion of thin-walled sections; membrane stresses in axisymmetric shells; elastic-plastic bending and torsion; axisymmetric bending of circular plates. CourseProfile (ATLAS)

MECHENG 320 (NAVARCH 320). Introduction to Fluid Mechanics
Prerequisite: [MATH 215 or 255 or 285; (C or better, No OP/F)] AND [MECHENG 235 or NAVARCH 235 & MECHENG 240; (C or better, No OP/F)] AND [Fewer than 2 previous elections of MECHENG 320 (incl. grades of W & I)]. Mechanical Engineering Majors must take MECHENG 235 as a part of their major requirements. (3 credits)
Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli’s equation; differential analysis of fluid flow; dimensional analysis and similitude; laminar and turbulent flow; boundary layers; lift and drag; applications to mechanical, marine, biological, environmental, and micro-fluidic systems. CourseProfile (ATLAS)

MECHENG 335. Heat Transfer
Prerequisite: MECHENG 320.  Minimum grade of “C” required for enforced prerequisites. (3 credits)
Heat transfer by conduction, convection, radiation; heat storage, energy conservation; steady-state/transient conduction heat transfer; thermal circuit modeling; multidimensional conduction; surface radiation properties, enclosure radiation exchange; surface convection/fluid streams over objects, non-dimensional numbers, laminar, turbulent, thermo-buoyant flow, boiling and condensation; heat exchangers; design of thermal systems, solvers for problem solving/ design. CourseProfile (ATLAS)

MECHENG 336. Thermodynamics II
Prerequisite: MECHENG 235. (3 credits)
Thermodynamic power and refrigeration systems; availability and evaluation of thermodynamic properties; general thermodynamic relations, equations of state and compressibility factors; chemical reactions; combustion; gaseous dissociation; phase equilibrium. Design and optimization of thermal systems. CourseProfile (ATLAS)

MECHENG 350. Design and Manufacturing II
Prerequisite: MECHENG 211, MECHENG 240, MECHENG 250. Minimum grade of “C” required for enforced prerequisites. (4 credits)
Principles of machine and mechatronic design and manufacturing.  Analysis, synthesis and selection of mechanisms, machine components, mechatronic components, and associate manufacturing processes.  Semester-long, model-based design/build/test project in a team setting CourseProfile (ATLAS)

MECHENG 360. Modeling, Analysis and Control of Dynamic Systems
Prerequisite: MECHENG 240 and preceded or accompanied by EECS 215 or EECS 314. Minimum grade of “C” required for enforced prerequisites. (4 credits)
Developing mathematical models of dynamic systems, including mechanical, electrical, electromechanical and fluid/thermal systems and representing these models in transfer function and state space form. Analysis of dynamic system models, including time and frequency responses. Introduction to linear feedback control techniques. Synthesis and analysis by analytical and computer methods. Four hours of lecture per week. CourseProfile (ATLAS)

MECHENG 382. Mechanical Behavior of Materials
Prerequisite: MECHENG 211. Minimum grade of “C” required for enforced prerequisite. (4 credits)
Material microstructures, dislocations and defects; processing and mechanical properties of metals, polymers and composites; heat treatment of metals; elastic, plastic, and viscoelastic behavior of materials, strain hardening; fracture, fracture mechanics, fatigue and multiaxis loading; creep and stress relaxation; materials-related design issues, materials selection, corrosion and environmental degradation of materials. CourseProfile (ATLAS)

MECHENG 390. RISE 3 – Research, Innovation, Service, Entrepreneurship
Prerequisite: Permission of instructor. (2-3 credits)
Project work where students must apply ME principles to research, innovation, service or entrepreneurship. The student submits a proposal and a poster, and presents the poster at the ME Undergraduate Symposium. Projects are overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

MECHENG 395. Laboratory I
Enforced prerequisites: PHYS 240 or 260, and PHYS 241 or 261, and MECHENG 211, and MECHENG 235, and MECHENG 240; preceded or accompanied by MECHENG 320, and MECHENG 382. Minimum grade of “C” required for enforced prerequisites. (4 credits)
Weekly lectures and experiments designed to introduce the student to the basics of experimentation, instrumentation, data collection and analysis, error analysis and reporting. Topics will include fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. Emphasis is placed on report writing and team-building skills. CourseProfile (ATLAS)

400 Level Courses

MECHENG 400. Mechanical Engineering Analysis
Prerequisite: MECHENG 211, MECHENG 240, Math 216. (3 credits)
Exact and approximate techniques for the analysis of problems in mechanical engineering including structures, vibrations, control systems, fluids, and design. Emphasis is on application. CourseProfile (ATLAS)

MECHENG 401. (MFG 402) Statistical Quality Control and Design
Prerequisite: senior or graduate standing. (3 credits)
Evolution of quality methods. Fundamentals of statistics. Process behavior over time. Concept of statistical process control (SPC). Design and interpretation of control charts. Process capability study. Tolerance. Measurement system analysis. Correlation. Regression analysis. Independent t-test and paired t-test. Design and analysis of two-level factorial experiments. Fractional factorial experiments. Response model building. Taguchi methods. Case studies. CourseProfile (ATLAS)

MECHENG 406. Biomechanics for Engineering Students.
Prerequisites: MECHENG 320 and MECHENG 382. (3 credits)
Fundamental properties of biological systems, followed by a quantitative, mechanical analysis. Topics include mechanics of the cytoskeleton, biological motor molecules, cell motility, muscle, tissue and bio-fluid mechanics, blood rheology, bio-viscoelasticity, biological ceramics, animal mechanics and locomotion, biomimetics and effects of scaling. Individual topics will be covered on a case by case study basis. CourseProfile (ATLAS)

MECHENG 412. Advanced Strength of Materials
Prerequisite: MECHENG 311. (3 credits)
Review of energy methods, Betti’s reciprocal theorem; elastic, thermoelastic and elastoplastic analysis of axisymmetric thick cylinders and rotating discs; bending of rectangular and circular plates, including asymmetric problems; beams on elastic foundations; axisymmetric bending of cylindrical shells; torsion of prismatic bars. CourseProfile (ATLAS)

MECHENG 420. Fluid Mechanics II
Prerequisite: MECHENG 320. (3 credits)
Use of commercial CFD packages for solving realistic fluid mechanics and heat transfer problems of practical interest. Introduction to mesh generation, numerical discrimination, stability, convergence, and accuracy of numerical methods. Applications to separated, turbulent and two-phase flows, flow control and flows involving heat transfer. Open-ended design project. CourseProfile (ATLAS)

MECHENG 424 (BME 424). Engineering Acoustics
Prerequisite: Math 216 or Physics 240. (3 credits)
Vibrating systems; acoustic wave equation; plane and spherical waves in fluid media; reflection and transmission at interfaces; propagation in lossy media; radiation and reception of acoustic waves; pipes, cavities and waveguides; resonators and filters; noise; selected topics in physiological, environmental and architectural acoustics. CourseProfile (ATLAS)

MECHENG 432. Combustion
Prerequisite: MECHENG 336, preceded or accompanied by MECHENG 320. (3 credits)
Introduction to combustion processes; combustion thermodynamics, reaction kinetics and combustion transport. Chain reactions, ignition, quenching and flammability limits, detonations, deflagrations and flame stability. Introduction to turbulent premixed combustion. Applications in IC engines, furnaces, gas turbines, and rocket engines. CourseProfile (ATLAS)

MECHENG 433 (AUTO 533). Advanced Energy Solutions
Prerequisite: MECHENG 235. (3 credits)
Introduction to the challenges of power generation for a global society using the thermodynamics to understand basic principles and technology limitations. Covers current and future demands for energy; methods of power generation including fossil fuel, solar, wind and nuclear; associated detrimental by-products; and advanced strategies to improve power densities, efficiencies and emissions. CourseProfile (ATLAS)

MECHENG 438. Internal Combustion Engines
Prerequisite: MECHENG 235, MECHENG 336 or permission of instructor. (4 credits)
Analytical approach to the engineering problem and performance analysis of internal combustion engines. Study of thermodynamics, combustion, heat transfer, friction and other factors affecting engine power, efficiency and emissions. Design and operating characteristics of different types of engines. Computer assignments. Engine laboratories. CourseProfile (ATLAS)

MECHENG 440. Intermediate Dynamics and Vibrations
Prerequisite: MECHENG 240. (4 credits)
Newton/Euler and Lagrangian formulations for three-dimensional motion of particles and rigid bodies. Linear free and forced responses of one and two degree of freedom systems and simple continuous systems. Applications to engineering systems involving vibration isolation, rotating imbalance and vibration absorption. CourseProfile (ATLAS)

MECHENG 450. Design and Manufacturing III
Prerequisite: MECHENG 320, MECHENG 350, MECHENG 360, and either MECHENG 395 or AEROSP 305. May not be taken concurrently with MECHENG 455 or MECHENG 495. Not open to graduate students. (4 credits)
A mechanical engineering design project by which the student is exposed to the design process from concept through analysis to layout and report. Projects cover different mechanical engineering disciplines. Projects are overseen and graded by faculty and may also involve mentoring by representatives from industrial, governmental, and/or non-profit organizations. CourseProfile (ATLAS)

MECHENG 451 (MFG 453). Properties of Advanced Materials for Design Engineers
Prerequisite: MECHENG 382. (3 credits)
Mechanical behavior and environmental degradation of polymeric-, metal- and ceramic-matrix composites; manufacturability of advanced engineering materials; use of composite materials in novel engineering designs. CourseProfile (ATLAS)

MECHENG 452 (MFG 452). Design for Manufacturability
Prerequisite: MECHENG 350. (3 credits)
Conceptual design. Design for economical production, Taguchi methods, design for assembly; case studies. Product design using advanced polymeric materials and composites; part consolidation, snap-fit assemblies; novel applications. Design projects. CourseProfile (ATLAS)

MECHENG 455. Analytical Product Design
Prerequisite: MECHENG 350, MECHENG 360, MECHENG 395 for MECHENG majors. PI for all others. (3-4 credits)
Design of artifacts is addressed from a multidisciplinary perspective that includes engineering, art, psychology, marketing and economics. Using a decision-making framework, emphasis is placed on quantitative methods. Building mathematical models and accounting for interdisciplinary interactions. Students work in team design projects from concept generation to prototyping and design verification. Four credit-hour election requires prototyping of project. CourseProfile (ATLAS)

MECHENG 456 (BIOMEDE 456). Modeling in Biosolid Mechanics
Prerequisite: [BIOMEDE 231 or MECHENG 211], and [BIOMEDE 332 or MECHENG 382] (3 credits)
Definition of biological tissue and orthopedic device mechanics, including elastic, viscoelastic and non-linear elastic behavior. Emphasis on structure function relationships. Overview of tissue adaptation and the interaction between tissue mechanics and physiology. CourseProfile (ATLAS)

MECHENG 457. Front-End Design 
Advised Prerequisite: MECHENG 350 or equivalent design course. (3 credits)
This course examines processes of front-end of engineering design, including opportunity discovery, problem definition, developing mechanisms to gather data from users and other stakeholders, translating user data into design requirements and specifications, creating innovative solutions during concept generation, representing design ideas, and evaluating possible solutions. CourseProfile (ATLAS)

MECHENG 458. Automotive Engineering
Prerequisite: MECHENG 350. (3 credits)
Emphasizes systems approach to automotive design. Specific topics include automotive structures, suspension steering, brakes and driveline. Basic vehicle dynamics in the performance and handling modes are discussed. A semester team-based design project is required. CourseProfile (ATLAS)

MECHENG 461. Automatic Control
Prerequisite: MECHENG 360. (3 credits)
Feedback control design and analysis for linear dynamic systems with emphasis on mechanical engineering applications; transient and frequency response; stability; system performance; control modes; state space techniques; digital control systems. CourseProfile (ATLAS)

MECHENG 476 (BIOMEDE 476). Biofluid Mechanics
Prerequisite: MECHENG 320. (4 credits)
This is an intermediate level fluid mechanics course which uses examples from biotechnology processes and physiologic applications including the cardiovascular, respiratory, ocular, renal, musculo-skeletal and gastrointestinal systems. CourseProfile (ATLAS)

MECHENG 481. Manufacturing Processes
Prerequisite: MECHENG 382. (3 credits)
Mathematical modeling of manufacturing processes used in industry to manufacture mechanical systems:  machining, deformation, welding, assembly, surface treatment, and solidification processes.  Process costs and limits; influence of processes on the final mechanical properties of the product.  Reconfigurable manufacturing, Rapid prototyping, Direct Metal Deposition (DMD) and semiconductor manufacturing. CourseProfile (ATLAS)

MECHENG 482 (MFG 492). Machining Processes
Prerequisite: MECHENG 382. (3 credits)
Introduction to machining operations.  Cutting tools and tool wear mechanisms.  Cutting forces and mechanics of machining.  Machining process simulation.  Surface generation.  Temperatures of the tool and workplace.  Machining dynamics.  Non-traditional machining. CourseProfile (ATLAS)

MECHENG 483. Manufacturing System Design
Prerequisite: MECHENG 250. (3 credits)
Manufacturing system design methodologies and procedures. Topics: paradigms of manufacturing; building blocks of manufacturing systems; numerical control and robotics; task allocation and line balancing; system configurations, performance of manufacturing systems including quality, productivity, and responsiveness; economic models and optimization of manufacturing systems; launch and reconfiguration of manufacturing systems; Lean manufacturing. CourseProfile (ATLAS)

MECHENG 487 (MFG 488). Welding
Prerequisite: MECHENG 382. (3 credits)
Study of the mechanism of surface bonding, welding metallurgy, effect of rate of heat input on resulting microstructures, residual stresses and distortion, economics and capabilities of the various processes. CourseProfile (ATLAS)

MECHENG 489. Sustainable Engineering and Design 
Prerequisite: MECHENG 235.  Minimum Grade of “C-” required for enforced prerequisite. (3 credits)
Credit for only one: CEE 265 or MECHENG 489

ME 489 covers economic, environmental and social aspects of sustainability as they pertain to engineering design. The course covers life cycle assessment, carbon/water/energy footprints, economic assessments, mass/energy balances, air/water pollutants, modeling of environmental pollutant concentrations, engineering economics, social considerations, pollution prevention, resource conservation, human and eco-toxicity, life cycle costing, and energy systems. CourseProfile (ATLAS)

MECHENG 490. RISE 4 – Research, Innovation, Service, Entrepreneurship
Prerequisite: permission of instructor. (3 credits)
Project work where students must apply ME principles to research, innovation, service or entrepreneurship. The student submits a proposal and a paper, and presents at the ME Undergraduate Symposium. Projects are overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

MECHENG 491. Independent Study
Prerequisite: MECHENG 490, permission of instructor; mandatory pass/fail. (1-3 credits)
Individual or group experimental or theoretical research in the area of mechanical engineering under the direction of a member of the department. The student will submit a final report. For undergraduates only. Projects are overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

MECHENG 495. Laboratory II
Prerequisite: [MECHENG 360 and 395; (C- or better)] AND [MECHENG 335 (D or better, or concurrent enrollment) and 350 (C- or better, or concurrent enrollment)] AND Not open to graduate students. (4 credits)
Weekly lectures and extended experimental projects designed to demonstrate experimental and analytical methods as applied to complex mechanical systems. Topics will include controls, heat transfer, fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. Emphasis on laboratory report writing, oral presentations and team-building skills, and the design of experiments. CourseProfile (ATLAS)

MECHENG 499. Special Topics in Mechanical Engineering
Prerequisite: permission of instructor. (to be arranged)
Selected topics pertinent to mechanical engineering. CourseProfile (ATLAS)

500 Level Courses

MECHENG 500. Professional Skills for Graduate Student Success
(1 credits)
Broadly describe best practices for research; introduce policies/procedures for successful completion of graduate studies in Mechanical Engineering. Steps in the PhD process; Mentoring; The research process; Identifying research opportunities and formulating hypotheses; Research methodologies; Monitoring and using the literature; Improving writing, presentation, time management skills; Mental health; DEI; Career planning. CourseProfile (ATLAS)

MECHENG 501. Mathematical Methods in Mechanical Engineering
Prerequisite: advised Math 216; Math 217 or equivalent recommended. (3 credits)
Applied mathematics for mechanical engineering with an emphasis on mathematical principles and analytical methods. Topics include: complex analysis (functions of complex variables, contour integrals, conformal mappings), linear operator theory (vector spaces, linear algebra), ordinary differential equations (series solutions, Laplace and Fourier transforms, Green’s functions). CourseProfile (ATLAS)

MECHENG 502. Methods of Differential Equations in Mechanics
Prerequisite: Math 454. (3 credits)
Applications of differential equation methods of particular use in mechanics. Boundary value and eigenvalue problems are particularly stressed for linear and nonlinear elasticity, analytical dynamics, vibration of structures, wave propagation, fluid mechanics and other applied mechanic topics. CourseProfile (ATLAS)

MECHENG 505. Finite Element Methods in Mechanical Engineering
Prerequisite: MECHENG 501 (MECHENG 311 or MECHENG 320). (3 credits)
Theoretical and computational aspects of finite element methods. Examples from areas of thermal diffusion, potential/irrotational flows, lubrication, structural mechanics, design of machine components, linear elasticity and Navier-Stokes flows problems. Program development and modification are expected as well as learning the use of existing codes. CourseProfile (ATLAS)

MECHENG 506 (BIOMEDE 506). Computational Modeling of Biological Tissues
(3 credits)
Biological tissues have multiple scales and can adapt to their physical environment. This course focuses on visualization and modeling of tissue physics and adaptation. Examples include electrical conductivity of heart muscle and mechanics of hard and soft tissues. Homogenization theory is used for multiple scale modeling. CourseProfile (ATLAS)

MECHENG 507. Atomistic Computer Modeling of Materials
Introductory quantum mechanics recommended, but not required. (3 credits) 
Describes the core methods used to simulate matter at the atomic scale.  Topics include: Structure of matter and interatomic potentials; High-performance computing; Electronic structure methods; Molecular dynamics; Monte Carlo; Transition state theory; Accelerated dynamics and multi-scale modeling. Applications of these methods are illustrated in hands-on laboratories involving research-caliber simulation tools. CourseProfile (ATLAS)

MECHENG 511. Theory of Solid Continua
Prerequisite: MECHENG 211, Math 450. (3 credits)
The general theory of a continuous medium. Kinematics of large motions and deformations; stress tensors; conservation of mass, momentum and energy; constitutive equations for elasticity, viscoelasticity and plasticity; applications to simple boundary value problems. CourseProfile (ATLAS)

MECHENG 512 (CEE 509). Theory of Elasticity
Prerequisite: MECHENG 311 or MECHENG 412, or MECHENG 511 or equivalent. (3 credits)
Stress, strain and displacement, equilibrium and compatibility. Use of airy stress function in rectangular and polar coordinates, asymptotic fields at discontinuities, forces and dislocations, contact and crack problems, rotating and accelerating bodies. Galerkin and Papcovich-Neuber solutions, singular solutions, spherical harmonics. Thermoelasticity. Axisymmetric contact and crack problem. Axisymmetric torsion. CourseProfile (ATLAS)

MECHENG 513 (Auto 513, MFG 513). Automotive Body Structures
Prerequisite: MECHENG 311. (3 credits)
Emphasis is on body concept for design using first order modeling of thin walled structural elements. Practical application of solid/structural mechanics is considered to design automotive bodies for global bending, torsion, vibration, crashworthiness, topology, material selection, packaging and manufacturing constraints. CourseProfile (ATLAS)

MECHENG 515. Contact Mechanics
Prerequisite: MECHENG 311 or MECHENG 350. (3 credits)
Hertzian elastic contact; elastic-plastic behavior under repeated loading; shakedown. Friction; transmission of frictional tractions in rolling; fretting; normal and oblique impact. Dynamic loading. Surface durability in rolling. Surface roughness effects. Conduction of heat and electricity across interfaces. Thermal and thermoelastic effects in sliding and static contact. CourseProfile (ATLAS)

MECHENG 516. Fracture and Adhesion of Interfaces, and the Mechanics of Layered Materials
Advisory Prerequisite: ME 311 or graduate standing. (3 credits)
Stresses and deformations in layered materials and laminated composites; cohesive-zone models of fracture; energy-release rates and delamination; fracture mechanics of layered materials; physics of adhesion; spalling; interfacial fracture mechanics; mixed-mode fracture; buckling-driven delamination; cracking of thin films and coating; adhesion and fracture tests; measurement of cohesive fracture parameters. CourseProfile (ATLAS)

MECHENG 517. (MacroSE 517) Mechanics of Soft Materials
Prerequisite: None. Advisory Prerequisite: MECHENG 511 or prior experience in continuum mechanics or Permission of Instructor. (3 credits)
Selected topics in the mechanics of soft materials, including nonlinear elasticity, nonlinear viscoelasticity, and (visco)plasticity in amorphous and crystalline polymers. Applications include elastomers, thermoplastics, thermosets, vitrimers, hydrogels, proteins, and biological networks, cells, and tissues. CourseProfile (ATLAS)

MECHENG 519. Theory of Plasticity I
Prerequisite: MECHENG 511. (3 credits)
Fundamentals of plasticity; stress-strain relations, yield criteria and the general behavior of metals and nonmetals beyond proportional limit in the light of experimental evidence. Various approximate theories with emphasis on the theory of plastic flow. Application to problems of bending, torsion, plane strain and plane stress, technological problems. CourseProfile (ATLAS)

MECHENG 520. Advanced Fluid Mechanics I
Prerequisite: MECHENG 320. (3 credits)
Fundamental concepts and methods of fluid mechanics; inviscid flow and Bernoulli theorems; potential flow and its application; Navier-Stokes equations and constitutive theory; exact solutions of the Navier-Stokes equations; boundary layer theory; integral momentum methods; introduction to turbulence. CourseProfile (ATLAS)

MECHENG 521. Advanced Fluid Mechanics II
Prerequisite: MECHENG 520. (3 credits)
Viscous flow fundamentals; vorticity dynamics; solution of the Navier-Stokes equations in their approximate forms; thin shear layers and free surface flows; hydrodynamic stability and transition to turbulence; fundamental concepts of turbulence; the turbulent boundary layer; introduction to turbulence modeling. CourseProfile (ATLAS)

MECHENG 523 (AEROSP 523). Computational Fluid Dynamics I
Prerequisite: AEROSP 325 or preceded or accompanied by MECHENG 520. (3 credits)
Physical and mathematical foundations of computational fluid mechanics with emphasis on applications. Solution methods for model equations and the Euler and the Navier-Stokes equations. The finite volume formulation of the equations. Classification of partial differential equations and solution techniques. Truncation errors, stability, conservation and monotonicity. Computer projects and homework. CourseProfile (ATLAS)

MECHENG 524. Advanced Engineering Acoustics
Prerequisite: MECHENG 424, (BIOMEDE 424). (3 credits)
Derivation of the acoustic wave equation and development of solution techniques. Transmission and reflection from solids, plates and impedance boundaries. Radiation and scattering from non-simple geometries. Green’s functions; boundary element and finite element methods. Sound in ducts and enclosures. Introduction to structural-acoustic coupling. Automotive and other applications considered. CourseProfile (ATLAS)

MECHENG 527. Multiphase Flow
Prerequisite: MECHENG 520. (3 credits)
Selected topics in multiphase flow including nucleation and cavitation; dynamics of stationary and translating particles and bubbles; basic equations of homogeneous two-phase gas/liquid, gas/solid and vapor/liquid flows; kinematics and acoustics of bubbly flows; instabilities and shock waves in bubbly flows; stratified, annular and granular flow. CourseProfile (ATLAS)

MECHENG 530. Advanced Heat Transfer
Prerequisite: MECHENG 320 or equivalent background in fluid mechanics and heat transfer. (3 credits)
Advanced topics in conduction and convection including the presentation of several solution methods (semi-quantitative analysis, finite difference methods, superposition, separation of variables) and analysis of multi-mode heat transfer systems. Fundamentals of radiation heat transfer including; blackbody radiation, radiative properties, view factors, radiative exchange between ideal and non-ideal surfaces. CourseProfile (ATLAS)

MECHENG 533. Radiative Heat Transfer
Prerequisite: MECHENG 335. (3 credits)
Electromagnetic, optical and quantum aspects of radiative equilibrium. Enclosure radiation including spatial, specular, and spectral distributions. Gas radiation including boundary affected thin gas and thick gas approximations. Averaged and spectral properties. Technological applications. CourseProfile (ATLAS)

MECHENG 535. Thermodynamics III
Prerequisite: MECHENG 336. (3 credits)
Definitions and scope of thermodynamics; first and second laws. Maxwell’s relations. Clapeyron relation, equation of state, thermodynamics of chemical reactions, availability. CourseProfile (ATLAS)

MECHENG 537. Advanced Combustion
Prerequisite: MECHENG 432 or equivalent. (3 credits)
Advanced treatment of fundamental combustion processes. Conservation equations for reacting gas mixtures. The structure of one-dimensional diffusion and premixed flames; introduction to activation energy asymptotics. Two-dimensional Burke-Schumann flames and boundary layer combustion. Flame instabilities and flame stretch; turbulent combustion. CourseProfile (ATLAS)

MECHENG 538. Advanced Internal Combustion Engines
Prerequisite: MECHENG 438. (3 credits)
Modern analytical approach to the design and performance analysis of advanced internal combustion engines. Study of thermodynamics, fluid flow, combustion, heat transfer and other factors affecting the design, operating and emissions characteristics of different engine types. Application of course techniques to engine research projects. CourseProfile (ATLAS)

MECHENG 539 (APPLIED PHYSICS 639). Heat Transfer Physics
Prerequisite: MECHENG 235, MECHENG 335. (3 credits)
Unified treatment of thermal energy storage, transport and conversion, by principal carriers: phonon, electron, fluid particle and photon. Quantum, molecular dynamics and Boltzmann transport treatments are used, along with applications (e.g., thermoelectrics, photovoltaics, laser cooling, phonon recycling, size effects). CourseProfile (ATLAS)

MECHENG 540 (AEROSP 540). Intermediate Dynamics
Prerequisite: MECHENG 240. (3 credits)
Newton/Euler and Lagrangian formulations for three dimensional motion of particles and rigid bodies. Principles of dynamics applied to various rigid-body and multi-body dynamics problems that arise in aerospace and mechanical engineering. CourseProfile (ATLAS)

MECHENG 541. Mechanical Vibrations
Prerequisite: MECHENG 440. (3 credits)
Time and frequency domain mathematical techniques for linear system vibrations. Equations of motion of discrete non-conservative systems. Vibration of multi-degree-of-freedom systems. Small oscillation theory. Free vibration eigenvalue problem. Undamped system response. Viscously damped systems. Vibration of continuous systems. Modes of vibration of bars, beams, membranes, plates. CourseProfile (ATLAS)

MECHENG 542 (AUTO 542). Vehicle Dynamics and Automation
Advisory Prerequisite: MECHENG 440 or 540. (3 credits)
This course focuses on the dynamics and control of road vehicles. Dynamical models of automobiles and trucks are constructed and analyzed. Controllers are designed for driver assistance and vehicle automation. Topics include: longitudinal vehicle dynamics; cruise control and adaptive cruise control; ride dynamics; passive and active suspension design; nonholonomic dynamics of rolling; kinematic and dynamic bicycle models of automobile steering; lane-keeping control; motion planning for automated vehicles, longitudinal and lateral tire models; vehicle handing with tires. CourseProfile (ATLAS)

MECHENG 543. Analytical and Computational Dynamics I
Prerequisite: MECHENG 440. (3 credits)
Modern analytical rigid body dynamics equation formulation and computational solution techniques applied to mechanical multibody systems. Kinematics of motion generalized coordinates and speeds, analytical and computational determination of inertia properties, generalized forces, Gibb’s function, Routhian, Kanes’s equations, Hamilton’s principle, Lagrange’s equations holonomic and nonholonomic constraints, constraint processing, computational simulation. CourseProfile (ATLAS)

MECHENG 545 (ISD 546, CEE 577). Dynamics and Control of Connected Vehicles
Prerequisite: None. Advised Prerequisite: MECHENG 360. (3 credits)
Ordinary differential equations and delay differential equations are used for modeling connected vehicle systems, which consist of human-driven vehicles and automated vehicles. Controllers are designed to improve stability, safety, energy efficiency, and traffic flow. Students will use experimental data to design controllers and evaluate those via numerical simulations. CourseProfile (ATLAS)

MECHENG 548. Applied Nonlinear Dynamics
Prerequisite: MECHENG 360 or graduate standing. (3 credits)
Geometrical representation of the dynamics of nonlinear systems. Stability and bifurcation theory for autonomous and periodically forced systems. Chaos and strange attractors. Introduction to pattern formation. Applications to various problems in rigid-body dynamics, flexible structural dynamics, fluid-structure interactions, fluid dynamics, and control of electromechanical systems. CourseProfile (ATLAS)

MECHENG 549 (CEE 576). Mechanisms Design
Advisory Prerequisite: CEE 373 or equivalent, MECHENG 360 or CEE 572 or equivalent, MECHENG 564/CEE 571 or equivalent. (3 credits)
Analysis of discrete- and continuous-time linear stochastic processes with primary application to engineering dynamics. Ito calculus and mean-square analysis. Continuous-time Poisson counters and Wiener processes. Stochastic response of nonlinear systems, and the Fokker-Planck Equation. Stationary analysis. Approximate techniques for nonlinear stochastic response. CourseProfile (ATLAS)

MECHENG 551 (MFG 560). Mechanisms Design
Prerequisite: MECHENG 350. (3 credits)
Basic concepts. Type synthesis — creative design of mechanisms; graph theory. Precision-point Burmester theory for dimensional synthesis of linkages. Applications. Cam and follower system synthesis. Joint force analysis and dynamic analysis formulations. Analytical synthesis of programmable and compliant mechanisms. Use of software for synthesis and analysis. Design projects. CourseProfile (ATLAS)

MECHENG 552 (MFG 552). Mechatronic Systems Design
Advised Prerequisite: MECHENG 350, MECHENG 360, EECS 314 or equivalent (4 credits)
Mechatronics is the synergistic integration of mechanical disciplines, controls, electronics and computers in the design of high-performance systems. Case studies, hands-on lab exercises and hardware design projects cover the practical aspects of machine design, multi-domain systems modeling, sensors, actuators, drives circuits, simulation tools, DAQ and controls implementation using microprocessors. CourseProfile (ATLAS)

MECHENG 553 (MFG 553). Microelectromechanical Systems
Prerequisite: senior or graduate standing. (3 credits)
Basic integrated circuit (IC) manufacturing processes; electronics devices fundamentals; microelectromechanical systems fabrications including surface micromachining, bulk micromachining, LIGA and others. Introduction to micro-actuators and microsensors such as micromotors, grippers, accelerometers and pressure sensors. Mechanical and electrical issues in micromachining. IC CAD tools to design microelectromechanical structures using MCNC MUMPs service. Design projects. CourseProfile (ATLAS)

MECHENG 555 (ISD 555, MFG 555). Design Optimization
Advised Prerequisite: Math 451 and Math 217 or equivalent. (3 credits)
Mathematical modeling of engineering design problems for optimization. Boundedness and monotonicity analysis of models. Differential optimization theory and selected numerical algorithms for continuous nonlinear models. Emphasis on the interaction between proper modeling and computation. Students propose design term projects from various disciplines and apply course methodology to optimize designs. CourseProfile (ATLAS)

MECHENG 557. Front-End Design 
Advised Prerequisite: MECHENG 350 or equivalent design course. (3 credits)
This course examines processes of front-end of engineering design, including opportunity discovery, problem definition, developing mechanisms to gather data from users and other stakeholders, translating user data into design requirements and specifications, creating innovative solutions during concept generation, representing design ideas, and evaluating possible solutions. CourseProfile (ATLAS)

MECHENG 558 (MFG 558). Discrete Design Optimization
Prerequisite: senior or graduate standing. (3 credits)
Fundamentals of discrete optimization for engineering design problems. Mathematical modeling of engineering design problems as discrete optimization problems, integer programming, dynamic programming, graph search algorithms, and introduction to NP completeness. A term project emphasizes applications to realistic engineering design problems. CourseProfile (ATLAS)

MECHENG 559 (MFG 559). Smart Materials and Structures
Prerequisite: EECS 314 or equivalent. (3 credits)
This course will cover theoretical aspects of smart materials, sensors and actuator technologies. It will also cover design, modeling and manufacturing issues involved in integrating smart materials and components with control capabilities to engineering smart structures. CourseProfile (ATLAS)

MECHENG 560 (MFG 562). Modeling Dynamic Systems
Prerequisite: MECHENG 360. (3 credits)
A unified approach to the modeling, analysis and simulation of energetic dynamic systems. Emphasis on analytical and graphical descriptions of state-determined systems using Bond Graph language. Analysis using interactive computer simulation programs. Applications to the control and design of dynamic systems such as robots, machine tools and artificial limbs. CourseProfile (ATLAS)

MECHENG 561 (EECS 561). Design of Digital Control Systems
Prerequisite: EECS 460 or MECHENG 461. (3 credits)
Sampling and data reconstruction. Z-transforms and state variable descriptions of discrete-time systems. Modeling and identification. Analysis and design using root locus, frequency response and state space techniques. Linear quadratic optimal control and state estimation. Quantization and other nonlinearities. CourseProfile (ATLAS)

MECHENG 563. Time Series Modeling and System Analysis
Prerequisite: None. (3 credits)
This course will cover topics related to the modeling techniques for time series data and related system
analysis methods. CourseProfile (ATLAS)

MECHENG 564 (AEROSP 550, CEE 571, EECS 560). Linear Systems Theory
Prerequisite: Graduate standing. (4 credits)
Linear spaces and linear operators. Bases, subspaces, eigenvalues and eigenvectors, canonical forms. Linear differential and difference equations. Mathematical representations: state equations, transfer functions, impulse response, matrix fraction and polynomial descriptions. System-theoretic concepts: causality, controllability, observability, realizations, canonical decomposition, stability. CourseProfile (ATLAS)

MECHENG 565 (SD 565). Battery Systems and Control
Advised Prerequisite: MECHENG 360 or equivalent. Advised Co-requisite: MECHENG 461 or equivalent. (3 credits) 
Battery modeling, control and diagnostic methodologies associated to battery electric and battery hybrid electric vehicles.  Emphasis is placed upon system-level modeling, model order reduction from micro-scale to macro-scale and surrogate models for load control, estimation, on-board identification and diagnostics for Lithium Ion batteries. CourseProfile (ATLAS)

MECHENG 566 (AUTO 566). Modeling, Analysis, and Control of Hybrid Electric Vehicles
Prerequisite: MECHENG 438 and MECHENG 461 or equivalent is recommended. (3 credits)
Modeling, analysis and control of vehicles with electrified propulsion systems, including electric vehicles, hybrid vehicles, plug-in and fuel cell vehicles. Introduction of the concepts and terminology, the state of the art development, energy conversion and storage options, modeling, analysis, system integration and basic principles of vehicle controls. CourseProfile (ATLAS)

MECHENG 567 (EECS 567) (ROB 510) (MFG 567). Robot Kinematics and Dynamics
Prerequisite: None. (3 credits)
Geometry, kinematics, differential kinematics, dynamics, and control of robot manipulators. The mathematical tools required to describe spatial motion of a rigid body will be presented in full. Motion planning including obstacle avoidance is also covered. CourseProfile (ATLAS)

MECHENG 568. Vehicle Control Systems
Prerequisite: MECHENG 461 or equivalent. (3 credits)
Design and analysis of vehicle control systems such as cruise control, traction control, active suspensions and advanced vehicle control systems for Intelligent Vehicle-Highway Systems (IVHS). Human factor considerations such as driver interfaces. This course may be used as part of the IVHS certification program. CourseProfile (ATLAS)

MECHENG 569. Control of Advanced Powertrain Systems
Prerequisite: MECHENG 360; preceded or accompanied by MECHENG 461. (3 credits)
Will cover essential aspects of electronic engine control for spark ignition (gasoline) and compression ignition (diesel) engines followed by recent control developments for direct injection, camless actuation, active boosting technologies, hybrid-electric and fuel cell power generation. Will review system identification, averaging, feedforward, feedback, multivariable (multiple SISO and MIMO), estimation, dynamic programming and optimal control techniques. CourseProfile (ATLAS)

MECHENG 570. Fundamentals of Defects in Materials and Applications of Atomistic Modeling 
Advisory Prerequisite: MECHENG 235 and MECHENG 382. (3 credits)
Introduction of the correlation between various types of microstructural defects and materials’ macroscopic phenomena, such as diffusion, deformation, radiation response, phase transformation, etc. Fundamentals of atomistic modeling and demo applications are also introduced to help students build better intuition about defects’ structures and behaviors. CourseProfile (ATLAS)

MECHENG 571 (ESENG 505). Energy Generation and Storage Using Modern Materials
Prerequisite: MECHENG 382 and MECHENG 335 or equivalent. (3 credits)
Energy and power densities previously unattainable in environmentally-friendly energy technologies have been achieved through use of novel materials. Insertion of new materials into power supplies has changed the landscape of options. Design strategies for power systems are described, in the context of growing global demand for power and energy. CourseProfile (ATLAS)

MECHENG 572 (MFG 580). Rheology and Fracture
Prerequisite: MECHENG 382. (3 credits)
Mechanisms of deformation, cohesion, and fracture of matter.  Unified approach to the atomic-scale origins of plastic, viscous, viscoelastic, elastic, and anelastic behavior.  The influences of time and temperature on behavior.  Stress field of edge and screw dislocations, dislocation interactions, and cross slip. CourseProfile (ATLAS)

MECHENG 574. Nano/Micro Structure Evolution
Prerequisite: graduate standing and seniors by PI. (3 credits)
This course will focus on scientific understanding and computational techniques. Students will have the opportunity to develop a program to implement the methods to simulate nanostructure evolution. Topics covered include: configurational forces, formulation of migration, simulation of structural evolution, surface roughening, motion of thin film, composition modulation, electromigration and assembly. CourseProfile (ATLAS)

MECHENG 576 (MFG 556). Fatigue in Mechanical Design
Prerequisite: 382 or equivalent. (3 credits)
A broad treatment of stress, strain and strength with reference to engineering design and analysis. Major emphasis is placed on the analytical and experimental determination of stresses in relationship to the fatigue strength properties of machine and structural components. Also considered are deflection, post-yield behavior, residual stresses, temperature and corrosion effects. CourseProfile (ATLAS)

MECHENG 577 (MATSCIE 521). Use of Materials and their Selection in Design
Prerequisite: MECHENG 382 and senior, or graduate standing. (3 credits)
Material properties, including physical, mechanical, thermal, electrical, economic, corrosion and environmental properties. Interaction of function, shape, choice of materials, processing, economics and environmental impact in design. Methodology for materials selection and optimization, including performance indices, multiple constraints and multiple objectives. Introduction to analysis of environmental impact of materials selection. CourseProfile (ATLAS)

MECHENG 580. Transport Phenomena in Materials Processing
Prerequisite: senior or graduate standing. (3 credits)
Proficiency in the fundamental understanding of materials processing techniques. Lectures will cover: techniques for model development and simplification with an emphasis on estimation and scaling; ‘classical’ analytic solutions to simple problems, physical phenomena in materials processing including non-Newtonian fluid flow, solidification, and microstructure development. Techniques for measurement of monitoring of important process variables for model verification and process control. Case studies (heat treatment; welding; polymer extrusion and molding; various metal casting processes; crystal growth). CourseProfile (ATLAS)

MECHENG 582 (MFG 582) (MATSCIE 523). Metal-Forming Plasticity
Prerequisite: MECHENG 211. (3 credits)
Elastic and plastic stress-strain relations; yield criteria and flow rules; analyses of various plastic forming operations. Effects of hardening and friction, temperature, strain rate and anisotropy. CourseProfile (ATLAS)

MECHENG 584 (MFG 584). Advanced Mechatronics for Manufacturing
Prerequisite: ME 461 or equivalent. (3 credits)
Theoretical principles and practical techniques for controlling mechatronic systems are taught in the context of advanced manufacturing applications. Specifically, the electro-mechanical  design/modeling, basic/advanced control, and real-time motion generation techniques for computer-controlled manufacturing machines are studied. Hands-on labs and industrial case studies are used to re-enforce the course material. CourseProfile (ATLAS)

MECHENG 585 (MFG 585) (ISD 585). Machining and Machine Tools
Advisory Prerequisite: MECHENG 382 or equivalent. (3 credits)
Provides the knowledge of traditional and non-traditional machining processes as well as modeling and experimental analysis methods for machining. Topics include: the single point, multiple point and abrasive machining processes; machine tools; cutting tools, mechanics, temperatures, and dynamics; electrical discharge, chemical, energy-based, and biomedical machining. CourseProfile (ATLAS)

MECHENG 586 (MFG 591). Laser Materials Processing
Prerequisite: senior or graduate standing. (3 credits)
Application of lasers in materials processing and manufacturing. Laser principles and optics. Fundamental concepts of laser/material interaction. Laser welding, cutting, surface modification, forming and rapid prototyping. Modeling of processes, microstructure and mechanical properties of processed materials. Transport phenomena. Process monitoring. CourseProfile (ATLAS)

MECHENG 587 (MFG 587). Global Manufacturing
Prerequisite: one 400-level MFG or DES or BUS class. (3 credits)
Globalization and manufacturing paradigms. Product-process-business integration. Product invention strategy. Customized, personalized and reconfigurable products. Mass production and lean production. Mathematical analysis of mass customization. Traditional manufacturing systems. Reconfigurable manufacturing systems. Reconfigurable machines. System configuration analysis. Responsive business models. Enterprise globalization strategies. The global integrated enterprise. CourseProfile (ATLAS)

MECHENG 588 (IOE 588) (MFG 588). Assembly Modeling for Design and Manufacturing
Prerequisites: MECHENG 481 and MECHENG 401 or equivalent. (3 credits)
Assembly on product and process. Assembly representation. Assembly sequence. Datum flow chain. Geometric Dimensioning and Tolerancing. Tolerance analysis. Tolerance synthesis. Robust design. Fixturing. Joint design and joining methods. Stream of variation. Auto body assembly case studies. CourseProfile (ATLAS)

MECHENG 589. Sustainable Design of Technology Systems.
Prerequisite: senior or graduate standing. (3 credits)
Scientific perspectives on grand challenges to environment and society created by the production of energy, water, materials and emissions to support modern life styles. Integration of economic indicators with life cycle environmental and social metrics for evaluating technology systems. Case studies: sustainable design of consumer products, manufacturing and infrastructure systems. CourseProfile (ATLAS)

MECHENG 590. Study or Research in Selected Mechanical Engineering Topics
Prerequisite: graduate standing; permission of the instructor who will guide the work; mandatory satisfactory/unsatisfactory. (3/6 credits)
Individual or group study, design or laboratory research in any of the areas of mechanical engineering. The student will submit a report at the close of the term. Projects are overseen and graded by faculty and may also involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

MECHENG 599. Special Topics in Mechanical Engineering
Prerequisite: permission of instructor (to be arranged)
Selected topics pertinent to mechanical engineering. CourseProfile (ATLAS)

600 Level Courses

MECHENG 605. Advanced Finite Element Methods in Mechanics
Prerequisite: MECHENG 505 or CEE 510, (NAVARCH 512). (3 credits)
Recent developments in finite element methods; mixed, hybrid, mixed-hybrid, reduced integration penalty, singular, boundary integral elements. Emphasis on the methodology for developing elements by using calculus of variations. Applications selected from various branches of solid and fluid mechanics. CourseProfile (ATLAS)

MECHENG 623. Hydrodynamic Stability
Prerequisite: MECHENG 520. (3 credits)
An introduction to the theory of hydrodynamic stability with applications to stability of thermal flows, rotating and curved flows, wallbounded and free shear flows. Development of the asymptotic theory of the Orr-Sommerfeld equation. Review of the fundamental concepts and current work in nonlinear theory of hydrodynamic stability. CourseProfile (ATLAS)

MECHENG 624. Turbulent Flow
Prerequisite: MECHENG 520. (3 credits)
Fundamentals of turbulent flows; the basic equations and the characteristic scales, statistical description of turbulence. Review of experimental results on the statistics and structure of turbulent flows. Methods for calculation of turbulent flows; the problem of closure, semi-empirical, phenomenological and analytical theories of turbulence, large-eddy and direct simulations of turbulence. CourseProfile (ATLAS)

MECHENG 625. Nonhomogeneous Fluids
Prerequisite: MECHENG 520. (3 credits)
Motion of fluids of variable density and entropy in gravitational field, including the phenomenon of blocking and selective withdrawal; waves of small finite amplitudes, including waves in the lee of mountains; stability of stratified flows; flow of Nonhomogeneous fluids in porous media. Analogy with rotating fluids. CourseProfile (ATLAS)

MECHENG 626. Perturbation Methods for Fluids
Prerequisite: MECHENG 520. (3 credits)
Application of asymptotic methods to fluid mechanics, with special emphasis on the method of matched expansions. Regular perturbation solutions; suppression of secular terms; method of multiple scales; boundary layer and low Reynolds number flows by inner and outer expansions; phenomena in rotating flows. Applications to computational fluid mechanics. CourseProfile (ATLAS)

MECHENG 627 (NAVARCH 627). Wave Motion in Fluids
Prerequisite: MECHENG 520 or NAVARCH 520 or equivalent. (3 credits)
Surface waves in liquids; group velocity and dispersion; water waves created by and wave resistance to a moving body; Korteweg de Vries equation; conoidal and solitary waves in water; wave reflection and diffraction; shallow-water waves by the method of characteristics; statistical approach and spectral analysis; wave generation. CourseProfile (ATLAS)

MECHENG 631. Statistical Thermodynamics
Prerequisite: MECHENG 230 or MECHENG 336. (3 credits)
Introduction to statistical methods for evaluating thermodynamic and transport properties. Elements of quantum mechanics, statistical mechanics and kinetic theory, as applied to engineering thermodynamics. CourseProfile (ATLAS)

MECHENG 641. Advanced Vibrations of Structures
Prerequisite: MECHENG 541. (3 credits)
Energy formulation for nonconservative gyroscopic systems. Spectral methods for free and forced vibrations. Eigenvalue and boundary value problems. Non self-adjoint systems. Variational methods of approximation: Bubnov-Galerkin. Perturbation theory for the eigenvalue problem. Dynamics of rotating systems. Dynamics of constrained dynamical systems. CourseProfile (ATLAS)

MECHENG 645. Wave Propagation in Elastic Solids
Prerequisite: MECHENG 541. (3 credits)
Elastodynamic equations, isotropic and anisotropic materials; vector/scalar potentials, reflection and transmission at interfaces, mode conversion, surface waves, Rayleigh-Lamb equation. Green’s tensor; variational, Galerkin and Hamilton’s equations. Kirchhoff-Love and Reissner-Mindlin kinematic hypotheses for beam, plate and shell theories. Fourier and Laplace transform, modal and state-vector solution techniques. CourseProfile (ATLAS)

MECHENG 646 (BIOMEDE 646, ROB 646). Locomotor Mechanics and Design/Control of Wearable Robotic Systems 
Advised Prerequisite: MECHENG 540, (AEROSP 540) or MECHENG 543, or equivalent. (3 credits)
The primary objective of this course is to learn how to analyze, understand, and model human locomotion, as well as develop bio-inspired assistive technologies and assess their impact. We will learn about the human machine-the sensing, acting, and reasoning components of the human neuromusculoskeletal systems, as well as how to replicate this functionality with traditional approaches from robotics, including modeling, machine design, mechatronics, and control. CourseProfile (ATLAS)

MECHENG 648. Nonlinear Oscillations and Stability of Mechanical Systems
Prerequisite: MECHENG 541. (3 credits)
Large amplitude mechanical vibrations; phase-plane analysis and stability; global stability, theorems of Liapunov and Chetayev; asymptotic and perturbation methods of Lindstedt-Poincare, multiple scales, Krylov-Bogoliubov-Mitropolsky; external excitation, primary and secondary resonances; parametric excitation, Mathieu/Hill equations, Floquet theory; multi-degree of freedom systems and modal interaction. CourseProfile (ATLAS)

MECHENG 649 (AEROSP 615) (CEE 617). Random Vibrations
Prerequisite: Math 425 or equivalent, CEE 513 or MECHENG 541, or AEROSP 543 or equivalent. (3 credits)
Introduction to concepts of random vibration with applications in civil, mechanical and aerospace engineering. Topics include: characterization of random processes and random fields, calculus of random processes, applications of random vibrations to linear dynamical systems, brief discussion on applications to nonlinear dynamical systems. CourseProfile (ATLAS)

MECHENG 662 (AEROSP 672) (EECS 662). Advanced Nonlinear Control
Prerequisite: EECS 562 or MECHENG 548. (3 credits)
Geometric and algebraic approaches to the analysis and design of nonlinear control systems. Nonlinear controllability and observability, feedback stabilization and linearization, asymptotic observers, tracking problems, trajectory generation, zero dynamics and inverse systems, singular perturbations and vibrational control. CourseProfile (ATLAS)

MECHENG 695. Master’s Thesis Research
Prerequisite: None; mandatory satisfactory/unsatisfactory. (3 credits)
Student must complete a dissertation and defend their thesis in front of a committee of at least 2 faculty members. Projects are overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

MECHENG 699. Advanced Special Topics in Mechanical Engineering
Prerequisite: permission of instructor. (to be arranged)
Advanced selected topics pertinent to mechanical engineering. CourseProfile (ATLAS)

700 Level Courses

900 Level Courses

MECHENG 990. Dissertation/Pre-Candidate
Advised Prerequisite: Election for dissertation work by doctoral student not yet admitted as a Candidate. (1-8 credits); (1-4 credits)
Dissertation precandidate work is overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)

MECHENG 995. Dissertation/Candidate
Prerequisite: Graduate School authorization for admission as a doctoral candidate. (8 credits); (4 credits)
Dissertation candidate work is overseen/graded by faculty and may involve mentoring by representatives from external organizations. CourseProfile (ATLAS)