ME Courses

Course designations - the following roman numerals indicate the times at which the department plans to offer the course:

I fall
II winter
III spring-summer
IIIa spring-half
IIIb summer-half

101 Intro to Cad

Prerequisites:

211 Introduction to Solid Mechanics

Prerequisites: Physics 140, Math 116. I, II, (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.   (Course Profile)

235 Thermodynamics I

Prerequisites: Chem 130, 125 or Chem 210, 211, and Math 116. I, II, IIIa (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.   (Course Profile)

Sample Syllabus 1

240 Introduction to Dynamics and Vibrations

Prerequisites: Physics 140, preceded or accompanied by Math 216. I, II, IIIa (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.   (Course Profile)

Sample Syllabus 1

250 Design and Manufacturing I

Prerequisites: Math 116, ENGR 101 or equivalent. I, II (4 credits)

Basics of mechanical design: design process, system design, engineering drawing, and machine elements (e.g., bearings, gears, and springs). Basics of manufacturing: processes and materials. Exposure to CAD systems and basic prototyping and machine shop techniques. Design/ prototyping project. Three hours lecture and two hours laboratory.   (Course Profile)

Sample Syllabus 1

290 RISE 2 - Research, Innovation, Service, Entrepreneurship

Prerequisite: permission of instructor (1-3 credits)

Individual or group project work where student(s) must apply mechanical engineering principles to research, innovation, service or entrepreneurship projects. Student(s) work under the direction of mechanical engineering faculty. (Course Profile)

305 Introduction to Finite Elements in Mechanical Engineering

Prerequisites: MECHENG 211, Math 216. I, II (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, through computer labs and graded assignments. Two hour lecture and one hour lab.   (Course Profile)

Sample Syllabus 1

311 Strength of Materials

Prerequisites: MECHENG 211, Math 216. I, II, IIIa (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.   (Course Profile)

320 Fluid Mechanics I

Prerequisites: Math 215, MECHENG 235 and MECHENG 240. I, II (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, biological, environmental, and microfluidic systems.   (Course Profile)

335 Heat Transfer

Prerequisites: ME 320. I, II, IIIa (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, nondimensional numbers, laminar, turbulent, thermobuoyant flow, boiling and condensation; heat exchangers; design of thermal systems, solvers for problem solving/design.   (Course Profile)

Sample Syllabus 1 Sample Syllabus 2

336 Thermodynamics II

Prerequisites: MECHENG 235. I, II (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.   (Course Profile)

350 Design and Manufacturing II

Prerequisites: MECHENG 211, MECHENG 240, and MECHENG 250; (C- or better)I, II (4 credits)

Principles of machine and mechatronic design and manufacturing. Analysis, synthesis and selection of mechanisms, machine components, mechatronic components, and associated manufacturing processes. Semester-long, model-based design/build/test project in a team setting.   (Course Profile)

Sample Syllabus 1

360 Modeling, Analysis and Control of Dynamic Systems

Prerequisites: MECHENG 240 and P/A EECS 314. I, II (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.   (Course Profile)

Sample Syllabus 1

382 Mechanical Behavior of Materials

Prerequisites: MECHENG 211. I, II (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.   (Course Profile)

Sample Syllabus 1

390 RISE 3 - Research, Innovation, Service, Entrepreneurship

Prerequisite: permission of instructor (2-3 credits)

Individual or group project work where student(s) must apply mechanical engineering principles to research, innovation, service or entrepreneurship projects. Student(s) work under the direction of Mechanical Engineering faculty. The student(s) submits proposal and presents poster at ME Undergraduate Symposium. (Course Profile)

395 Laboratory I

Prerequisites: PH 240, 241, [PH 260, 261] MECHENG 211, MECHENG 235, and MECHENG 240; preceded or accompanied by MECHENG 320, and MECHENG 382. I, II (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.   (Course Profile)

400 Mechanical Engineering Analysis

Prerequisites: MECHENG 211, MECHENG 240, Math 216. I (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.   (Course Profile)

401 Statistical Quality Control and Design (cross-listed with MFG402)

Prerequisites: senior or graduate standing. II (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.   (Course Profile)

406 Biomechanics for Eng Students

Prerequisites: MECHENG 320 and MECHENG 382. II (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.   (Course Profile)

412 Advanced Strength of Materials

Prerequisites: MECHENG 311. II (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.   (Course Profile)

420 Fluid Mechanics II

Prerequisites: MECHENG 320. II (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.   (Course Profile)

424 Engineering Acoustics (cross-listed with BIOMEDE424)

Prerequisites: Math 216, Physics 240. I (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.   (Course Profile)

Sample Syllabus 1

432 Combustion

Prerequisites: MECHENG 336, preceded or accompanied by MECHENG 320. II (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.   (Course Profile)

433 Advanced Energy Solutions (cross-listed with AUTO533)

Prerequisites: MECHENG 235. I (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.   (Course Profile)

438 Internal Combustion Engines

Prerequisites: MECHENG 235, MECHENG 336 recommended (advised). I (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.   (Course Profile)

440 Intermediate Dynamics and Vibrations

Prerequisites: MECHENG 240. II (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.   (Course Profile)

450 Design and Manufacturing III

Prerequisites: MECHENG 350, MECHENG 360, and MECHENG 395. May not be taken concurrently with MECHENG 455 or MECHENG 495. Not open to graduate students. I, II (4 credits)

A mechanical engineering design project by which the student is exposed to the design process from concept through analysis to prototype validation and report. Projects are proposed from the different areas of study within mechanical engineering and reflect the expertise of instructing faculty. Three hours of lecture and two three hours laboratory per week. Course website: umich.edu/~me450   (Course Profile)

451 Properties of Advanced Materials for Design Engineers (cross-listed with MFG453)

Prerequisites: MECHENG 382. II (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.   (Course Profile)

452 Design for Manufacturability (cross-listed with MFG452)

Prerequisites: MECHENG 350. I (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.   (Course Profile)

455 Analyt Product Des

Prerequisites: ME 350, ME 360 for ME majors. Non-ME majors: consent of Instructor (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.   (Course Profile)

456 Tissue Mechanics (cross-listed with BIOMEDE456)

Prerequisites: MECHENG 211, MECHENG 240. II (3 credits)

Definition of biological tissue and orthopaedic 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.   (Course Profile)

458 Automotive Engineering

Prerequisites: MECHENG 350. I, II (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.   (Course Profile)

Sample Syllabus 1

461 Automatic Control

Prerequisites: MECHENG 360. I (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.   (Course Profile)

Sample Syllabus 1

476 Biofluid Mechanics (cross-listed with BIOMEDE476)

Prerequisites: MECHENG 320. II (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.   (Course Profile)

481 Manufacturing Processes

Prerequisites: MECHENG 382. I,(3 credits)

Modeling and quantitative analysis of manufacturing processes used in industry to manufacture mechanical systems: machining, deformation, welding, assembly, surface treatment, and solidification. Process costs and limits; influence of processes on the final mechanical properties of the product. Reconfigurable manufacturing. Three recitations. Undergraduate credit only.   (Course Profile)

482 Machining Processes (cross-listed with MFG492)

Prerequisites: MECHENG 382. II (3 Credits)

Introduction of machining operations. Cutting tools and tool wear mechanisms. Cutting forces and mechanics of chip formation.Cutting force and surface finish modeling. Surface generation. Temperatures of the tool and workpiece. Non-traditional machining. Electrical Discharge Machining. Electro-chemical Machining. Chemical Machining. Laser Machining. Three hours lecture. and one laboratory session.   (Course Profile)

483 Manufacturing System Design

Prerequisites: MECHENG 250 (3 credits)

An introduction to the procedures and methodologies for designing manufacturing systems. Topics covered include: 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.   (Course Profile)

487 Welding (cross-listed with MFG488)

Prerequisites: MECHENG 382. I (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.   (Course Profile)

Sample Syllabus 1

490 RISE 4 - Research, Innovation, Service, Entrepreneurship

Prerequisite: permission of instructor (3 credits)

Individual or group project work where student(s) must apply mechanical engineering principles to research, innovation, service or entrepreneurship projects. Student(s) work under the direction of Mechanical Engineering faculty. (Students should work on project approximately 10 hours/week for 3 credits. The student(s) submits proposal and presents poster at ME Undergraduate Symposium.) (Course Profile)

491 Independent Study

Prerequisites: MECHENG 490, permission of instructor; mandatory pass/fail. I, II, IIIa, IIIb (1-3 credits)

Individual or group experimental or theoretical research in the area of mechanical engineering. A topic in mechanical engineering under the direction of a member of the department. The student will submit a final report. Two four-hour laboratories per week. For undergraduates only.   (Course Profile)

495 Laboratory II

Prerequisites: MECHENG 360, MECHENG 395, preceded or accompanied by MECHENG 335 and MECHENG 350. May not elect MECHENG 450 concurrently. Not open to graduate students. I, II (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.   (Course Profile)

499 Special Topics in Mechanical Engineering

Prerequisites: permission of instructor. I, II, IIIa, IIIb (to be arranged)

Selected topics pertinent to mechanical engineering.  

501 Analytical Methods in Mechanics

Prerequisites: MECHENG 211, MECHENG 240, Math 216. II (3 credits)

An introduction to the notation and techniques of vectors, tensors, and matrices as they apply to mechanics. Emphasis is on physical motivation of definitions and operations, and on their application to problems in mechanics. Extensive use is made of examples from mechanics.  

502 Methods of Differential Equations in Mechanics

Prerequisites: Math 454. I (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 mechanics topics.  

505 Finite Element Methods in Mechanical Engineering

Prerequisites: MECHENG 501 (MECHENG 311 or MECHENG 320). I, II (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.  

506 Computational Modeling of Biological Tissues I, II (cross-listed with BIOMEDE506)

Prerequisites: I, II (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.  

511 Theory of Solid Continua

Prerequisites: MECHENG 211, Math 450. I (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.  

512 Theory of Elasticity (cross-listed with CEE509)

Prerequisites: MECHENG 311 or MECHENG 412, or MECHENG 511 or equivalent. II (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 Papkovich-Neuber solutions; singular solutions; spherical harmonics. Thermoelasticity. Axisymmetric contact and crack problems. Axisymmetric torsion.  

Sample Syllabus 1

513 Automotive Body Structures (cross-listed with AUTO513MFG513)

Prerequisites: MECHENG 311. II (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.  

514 Nonlinear Fracture Mechanics

Prerequisites: MECHENG 412. II (3 credits)

Elements of solid mechanics; historical development of fracture mechanics; energy release rate of cracked solids; linear elastic fracture mechanics, and elastic-plastic fracture mechanics.  

515 Contact Mechanics

Prerequisites: MECHENG 311 or MECHENG 350. I alternate and odd years (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.  

Sample Syllabus 1

516 Mechanics of Thin Films and Layered Materials (cross-listed with MATSCIE516)

Prerequisites: MECHENG 311 or graduate standing. I alternate years (3 credits)

Stresses and deformations in layered materials; energy-release rates and delamination; fracture mechanics of layered materials; spalling; interfacial fracture mechanics; mixed-mode fracture; buckling-driven delamination; cracking of thin films; effects of plasticity on fracture; stress-relaxation mechanisms in multi-layered materials; adhesion and fracture tests.  

517 Mechanics of Polymers I

Prerequisites: MECHENG 511 or permission of instructor. II (3 credits)

Constitutive equation for linear small strain viscoelastic response; constant rate and sinusoidal responses; time and frequency dependent material properties; energy dissipation; structural applications including axial loading, bending, torsion; three dimensional response, thermo-viscoelasticity, correspondence principle, Laplace transform and numerical solution methods.  

518 Composite Materials: Mechanics, Manufacturing, and Design (cross-listed with MFG518)

Prerequisites: senior or graduate standing. II alternate years (3 credits)

Composite materials, including naturally occurring substances such as wood and bone, and engineered materials from concrete to carbon fiber reinforced epoxies. Development of micromechanical models for a variety of constitutive laws. Link between processing and as-manufactured properties through coupled fluid and structural analyses.  

519 Theory of Plasticity I

Prerequisites: MECHENG 511. II (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.  

520 Advanced Fluid Mechanics I

Prerequisites: MECHENG 320. I (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.  

Sample Syllabus 1

521 Advanced Fluid Mechanics II

Prerequisites: MECHENG 520. II (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.  

523 Computational Fluid Dynamics I (cross-listed with AEROSP523)

Prerequisites: AEROSP 325 or preceded or accompanied by MECHENG 520. I (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.  

524 Advanced Engineering Acoustics

Prerequisites: MECHENG 424, (BIOMEDE 424). II (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.  

527 Multiphase Flow

Prerequisites: MECHENG 520. II (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.  

530 Advanced Heat Transfer

Prerequisites: ME 335 or equivalent background in fluid mechanics and heat transfer

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.  

532 Convection Heat Transfer

Prerequisites: MECHENG 335. II (3 credits)

Differential and integral formulations of convection. Parallel and nearly parallel laminar (boundary layer) flows. Similarity solutions. Periodic convection. Computational convection. Instability and turbulence. Kinetic and thermal scales and spectra. Flow prediction. Heat transfer prediction. Multiple scale dimensional analysis. Technological applications.  

533 Radiative Heat Transfer

Prerequisites: MECHENG 335. I (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.  

535 Thermodynamics III

Prerequisites: MECHENG 336. II (3 credits)

Definitions and scope of thermodynamics; first and second laws. Maxwell's relations. Clapeyron relation, equation of state, thermodynamics of chemical reactions, availability.  

537 Advanced Combustion

Prerequisites: MECHENG 432 or equivalent. II (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.  

538 Advanced Internal Combustion Engines

Prerequisites: MECHENG 438. II (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.  

539 Heat Transfer Physics

Prerequisites: MECHENG 235, MECHENG 335. II (3 credits)

This course combines fundamentals of statistical thermodynamics, quantum mechanics, transport theories, computational molecular dynamics, solid-state physics, and radiation transport, as related to heat transfer and thermal energy conversion. It presents a unified theory of heat transfer physics in its modern applications.  

540 Intermediate Dynamics (cross-listed with AEROSP540)

Prerequisites: MECHENG 240. I or II (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.  

Sample Syllabus 1

541 Mechanical Vibrations

Prerequisites: MECHENG 440. I (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.  

542 Vehicle Dynamics

Prerequisites: MECHENG 440. II (3 credits)

Dynamics of the motor vehicle. Static and dynamic properties of the pneumatic tire. Mechanical models of single and double-track vehicles enabling prediction of their response to control forces/moments and external disturbances. Directional response and stability in small disturbance maneuvers. The closed-loop driving process. Behavior of the motor vehicle in large perturbation maneuvers. Ride phenomena treated as a random process.  

543 Analytical and Computational Dynamics I

Prerequisites: MECHENG 440. I (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.  

548 Applied Nonlinear Dynamics

Prerequisites: An undergraduate level course in dynamics/vibrations/control, like ME 360. Knowledge of linear algebra and differential equations

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.  

551 Mechanisms Design (cross-listed with MFG560)

Prerequisites: MECHENG 350. II (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.  

552 Mechatronic Systems Design (cross-listed with MFG552)

Prerequisites: MECHENG 350, MECHENG 360, EECS 314 or equivalent (3 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. (view class project video)  

Sample Syllabus 1

553 Microelectromechanical Systems (cross-listed with MFG553)

Prerequisites: senior or graduate standing. II alternate years (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.  

Sample Syllabus 1

554 Computer Aided Design Methods (cross-listed with MFG554)

Prerequisites: MECHENG 454. (MFG 454) or MECHENG 501. I (3 credits)

Generalized mathematical modeling of engineering systems, methods of solu-tion and simulation languages. Analysis methods in design; load, deformation, stress and finite element considerations; nonlinear programming. Computational geometry; definition and generation of curves and surfaces. Computer graphics; transformations; clipping and windowing; graphics systems; data structures; command languages; display processors.  

555 Design Optimization (cross-listed with MFG555)

Prerequisites: Math 451 and Math 217 or equivalent. II (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.  

558 Discrete Design Optimization (cross-listed with MFG558)

Prerequisites: senior or graduate standing. I alternate years (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 algo-rithms, and introduction to NP completeness. A term project emphasizes applications to realistic engineering design problems.  

559 Smart Materials and Structures (cross-listed with MFG559)

Prerequisites: EECS 314 or equivalent. I alternate years (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.  

560 Modeling Dynamic Systems (cross-listed with MFG562)

Prerequisites: MECHENG 360. II (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.  

Sample Syllabus 1

561 Design of Digital Control Systems (cross-listed with EECS561)

Prerequisites: EECS 460 or MECHENG 461. I, II (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. Computer simulations and laboratory implementation of real-time control systems.  

562 Dynamic Behavior of Thermal-Fluid Processes

Prerequisites: MECHENG 335. II alternate years (3 credits)

Principles of transport processes and automatic control. Techniques for dynamic analysis; dynamic behavior of lumped and distributed-parameter systems, nonlinear systems, and time-varying systems; measurement of response; plant dynamics. Experimental demonstration for dynamic behavior and feedback control of several thermal and fluid systems.  

563 Time Series Modeling, Analysis, Forecasting (cross-listed with IOE565MFG561)

Prerequisites: IOE 366 or MECHENG 401. I (3 credits)

Time series modeling, analysis, forecasting, and control, identifying parametric time series, autovariance, spectra, Green's function, trend and seasonality. Examples from manufacturing, quality control, ergonomics, inventory, and management.  

564 Linear Systems Theory (cross-listed with AEROSP550EECS560)

Prerequisites: graduate standing. I (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.  

565 Battery Systems and Control

Prerequisites: MECHENG 360 equivalent. II (3 credits)

Covers system-level modeling, equivalent circuit models and surrogate models for estimation and on-board parameterization of the electric and thermal Lithium-Ion battery behavior. Distributed spatiotemporal models of coupled Li concentration, potential, and thermal phenomena are reviewed and then we highlight their analogies with the equivalent circuit models introduced in the first part of the course. We then venture to apply these models in State of Charge (SOC), State of Power (SOP), and State of Health (SOH) estimation using Kalman filtering and recursive least-squares estimation to augment classical coulomb counting techniques. Cell balancing in a pack is then discussed and practiced in a realistic simulation. Battery cooling, thermal evolution and run-away behavior will be the last course section. Practical examples from automotive and consumer electronics are used throughout the course. * No need for extensive background in battery chemistry and materials, * Need for basic background (undergraduate level) in signals and systems ME 360 equivalent or controls (Laplace transforms, time/frequency analysis, state space and control design tools). * Matlab and Simulink experience is necessary.  

566 Modeling, Analysis, and Control of Hybrid Electric Vehicles

Prerequisites:

Covers the modeling, analysis and control of vehicles with electrified propulsion systems, including electric vehicles, hybrid vehicles, and plug‐in hybrid electric vehicles. Introduces 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.  

567 Robot Kinematics and Dynamics (cross-listed with EECS567MFG567)

Prerequisites: graduate standing or permission of instructor (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.  

Sample Syllabus 1

568 Vehicle Control Systems

Prerequisites: MECHENG 461 or equivalent. I (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.  

Sample Syllabus 1

569 Control of Powertrain Systems

Prerequisites: MECHENG 360; preceded or accompanied by MECHENG 461. I (3 credits)

The course covers essential aspects of electronic engine control followed by recent control problems arising in direct injection, variable valve timing, active boosting, and flexible-fuel combustion. The course includes models and feedback control design of spark ignition (gasoline), compression ignition (diesel), and thermal ignition (HCCI) engines. We will practice system identification, averaging, feedforward, feedback, multivariable control, and estimation. * Basic ordinary differential equations (ODE) and control requirements are necessary (see syllabus). * Matlab and Simulink experience is necessary.  

571 Energy Generation and Storage Using Modern Materials (cross-listed with ESENG505)

Prerequisites: MECHENG 382 and MECHENG 335 or equivalent. I (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.  

572 Rheology and Fracture (cross-listed with MFG580)

Prerequisites: MECHENG 382. I (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. Ductile, creep, brittle, and fatigue failure mechanisms.  

573 Friction and Wear (cross-listed with MFG581)

Prerequisites: background in materials and mechanics desirable. II (3 credits)

The nature of solid surfaces, contact between solid surfaces, rolling friction, sliding friction, and surface heating due to sliding; wear and other types of surface attrition are considered with reference to practical combinations of sliding materials, effect of absorbed gases, surface contaminants and other lubricants on friction, adhesion, and wear; tire and brake performance.  

574 Nano/Micro Structure Evolution

Prerequisites: graduate standing and seniors by PI. II (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.  

576 Fatigue in Mechanical Design (cross-listed with MFG556)

Prerequisites: MECHENG 382 or equivalent. I (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 experiemental 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.  

577 Materials in Design (cross-listed with MFG557)

Prerequisites: senior or graduate standing. I (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.  

580 Transport Phenomena in Materials Processing

Prerequisites: senior or graduate standing. II (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).  

581 Global Product Development (cross-listed with MFG574)

Prerequisites: graduate standing. I (3 credits)

A project-based course in which each (global) student team comprised of students from three universities will be responsible for development of a product for the global market. Teams will use collaboration technology tools extensively. Several case studies on global product development will be presented and follow-up lectures will focus on the issues highlighted.  

582 Metal-Forming Plasticity (cross-listed with MFG582MATSCIE523)

Prerequisites: MECHENG 211. II (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.  

584 Advanced Mechatronics for Manufacturing (cross-listed with MFG584)

Prerequisites: ME 461 or equivalent. II (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.  

585 Machining Dynamics and Mechanics (cross-listed with MFG585)

Prerequisites: graduate standing or permission of instructor. I even years (3 credits)

Dynamic cutting process models and process stability issues. Advanced cutting process mechanics and modeling including cutting process damping, thermal energy and cutting temperature, and wear evolution. Single and multi-DOF stability analysis techniques, stability margins and stability charts. Modeling approximations for industrial applications.  

586 Laser Materials Processing (cross-listed with MFG591)

Prerequisites: senior or graduate standing. I (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.  

587 Global Manufacturing (cross-listed with MFG587)

Prerequisites: one 400-level MFG or DES or BUS class. II (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.  

588 Assembly Modeling for Design and Manufacturing (cross-listed with IOE588MFG588)

Prerequisites: MECHENG 481 and MECHENG 401 or equivalent. I alternate years (3 credits)

Assembly on product and process. Assembly representation. Assembly sequence. Datum flow chain. Geometric Dimensioning & Tolerencing. Tolerance analysis. Tolerance synthesis. Robust design. Fixturing. Joint design and joining methods. Stream of variation. Auto body assembly case studies.  

Sample Syllabus 1

589 Sustainable Design of Technology Systems

Prerequisites: senior or graduate standing. I (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.  

590 Study or Research in Selected Mechanical Engineering Topics

Prerequisites: graduate standing; permission of the instructor who will guide the work; mandatory satisfactory/unsatisfactory. I, II, III, IIIa, IIIb (3-6 credits)

Individual or group study, design, or laboratory research in a field of interest to the student. Topics may be chosen from any of the areas of mechanical engineering. The student will submit a report on the project and give an oral presentation to a panel of faculty members at the close of the term.  

599 Special Topics in Mechanical Engineering

Prerequisites: permission of instructor I, II, IIIa, IIIb (to be arranged)

Selected topics pertinent to mechanical engineering.  

Sample Syllabus 1

605 Advanced Finite Element Methods in Mechanics

Prerequisites: MECHENG 505 or CEE 510, (NAVARCH 512). I (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.  

617 Mechanics of Polymers II

Prerequisites: MECHENG 511, MECHENG 517, (MacroSE 517), or permission of instructor. II alternate years (3 credits)

Selected advanced topics in the mechanics of polymeric solids and fluids, including nonlinear elasticity, nonlinear viscoelastic solids, viscoplasticity in amorphous and crystalline polymer solids, constitutive models and associated flow properties for polymer fluids, temperature dependence and solidification, applications.  

619 Theory of Plasticity II

Prerequisites: MECHENG 519. II (3 credits)

Plastic theory for materials with isotropic hardening, kinematic hardening, and time dependence. Theories based on crystal slip; variational theorems; range of validity of total deformation theories. Theory of generalized stresses applied to circular plates; behavior of finite deflection; limit analysis of shells. Plane stress, plane strain, and axial symmetry. Plastic response to impact loads. Minimum weight design.  

622 Inviscid Fluids

Prerequisites: MECHENG 520. II (3 credits)

Vorticity theorems of Helmholtz and Kelvin. Potential flow; the complex potential; flow around bodies. Conformal mapping and free streamline theory. Rotational flow; stability; Kelvin-Helmholtz and Rayleigh-Taylor instabilities. Motion of point vortices and vortex regions. Chaotic vortex motions. Vortex filaments and vortex sheets.  

623 Hydrodynamic Stability

Prerequisites: MECHENG 520. I (3 credits)

An introduction to the theory of hydrodynamic stability with applications to stability of thermal flows, rotating and curved flows, wall bounded 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.  

624 Turbulent Flow

Prerequisites: MECHENG 520. II (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.  

625 Nonhomogeneous Fluids

Prerequisites: MECHENG 520. I, II (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.  

626 Perturbation Methods for Fluids

Prerequisites: MECHENG 520. II (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.  

627 Wave Motion in Fluids (cross-listed with NAVARCH627)

Prerequisites: MECHENG 520 or NAVARCH 520 or equivalent. I (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.  

631 Statistical Thermodynamics

Prerequisites: MECHENG 230 or MECHENG 336. II (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.  

635 Thermodynamics IV

Prerequisites: MECHENG 535. II (3 credits)

Discussion of thermodynamic systems, including surface phenomena, external fields, and relativistic effects. Study of complex equilibrium calculations including effect of heterogeneous reactions and real substance behavior. Introduction to the thermodynamics of irreversible processes with applications to heat and mass transfer, relaxation phenomena, and chemical reactions.  

641 Advanced Vibrations of Structures

Prerequisites: MECHENG 541. II (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.  

643 Analytical and Computational Dynamics II

Prerequisites: MECHENG 543. II alternate years (3 credits)

Kinematical and dynamical equation formulation for rigid and flexible mechanical multibody systems undergoing large overall motion and small elastic deformation. Energy principles; higher and lower pair joint parameterizations; space and dense equation formulation and solution techniques; numerical integration; generalized impulse and momentum; collisions; computational elastodynamics. Course project.  

645 Wave Propagation in Elastic Solids

Prerequisites: MECHENG 541. II alternate years (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.  

646 Mechanics of Human Movement (cross-listed with BIOMEDE646)

Prerequisites: MECHENG 540, (AEROSP 540) or MECHENG 543, or equivalent. II alternate years (3 credits)

Dynamics of muscle and tendon, models of muscle contraction. Kinematics and dynamics of the human body, methods for generating equations of motion. Mechanics of proprioceptors and other sensors. Analysis of human movement, including gait, running, and balance. Computer simulations and discussion of experimental measurement techniques.  

648 Nonlinear Oscillations and Stability of Mechanical Systems

Prerequisites: MECHENG 541. II (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.  

649 Random Vibrations (cross-listed with AEROSP615CEE617)

Prerequisites: Math 425 or equivalent, CEE 513 or MECHENG 541, or AEROSP 543 or equivalent. II alternate years (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.  

661 Adaptive Control Systems

Prerequisites: MECHENG 561. I (3 credits)

Introduction to control of systems with undetermined or time-varying parameters. Theory and application of self-tuning and model reference adaptive control for continuous and discrete-time deterministic systems. Model-based methods for estimation and control, stability of nonlinear systems, adaptation laws, and design and application of adaptive control systems.  

662 Advanced Nonlinear Control (cross-listed with AEROSP672EECS662)

Prerequisites: EECS 562 or MECHENG 548. I (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.  

663 Estimation of Stochastic Signals and Systems

Prerequisites: MECHENG 563 or IOE 565 or MFG. 561 equivalent. I alternate years (3 credits)

Estimation and prediction methods for vector stochastic signals and systems. Topics include characteristics of stochastic signals and systems, principles of estimation theory, linear regression models, description of signals and systems within a time series framework, prediction, prediction-error and correlation-type estimation methods, recursive estimation methods, asymptotic properties, model validation.  

695 Master's Thesis Research

Prerequisites: six credits of MECHENG 590; mandatory satisfactory/unsatisfactory. I, II, IIIa, IIIb (3 credits)

Students must elect 2 terms of 3 hrs/term of ME590 before taking 3 credits of ME695. No credit without 6 credits of ME590. Student is required to complete an oral presentation at the conclusion of ME695 as well as prepare a written thesis.  

699 Advanced Special Topics in Mechanical Engineering

Prerequisites: permission of instructor. I, II, IIIa, IIIb (to be arranged)

Advanced selected topics pertinent to mechanical engineering.  

790 Mechanical Sciences Seminar

Prerequisites: candidate status in the mechanical sciences. I (1 credit)

Every PhD student in the field of mechanical sciences is requested to present a one-hour seminar about his/her research and lead a one-hour follow-up discussion. Active participation in the discussions that follow the presentations is also required for a grade. In addition, each student will participate as a panelist in a panel that discusses the future trends in his/her field. Course grade is reported Satisfactory/Unsatisfactory  

990 Dissertation/Pre-Candidate

Prerequisites: I, II, III (1-8 credits); IIIa, IIIb (1-4 credits)

Dissertation work by doctoral student not yet admitted to status as candidate. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment.  

995 Dissertation/Candidate

Prerequisites: Graduate School authorization for admission as a doctoral candidate. I, II, III (8 credits); IIIa, IIIb (4 credits)

Election for dissertation work by a doctoral student who has been admitted to candidate status. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment.