For more information about the following courses, please see: http://web.engin.umich.edu/Courses/me.html.

400 Mechanical Engineering Analysis
Prerequisites: ME 211, ME 240, and Math 216. I. (3).
Exact and approximate techniques for the analysis of problems in Mechanical Engineering including structures, vibrations, control systems, fluids, and design. Emphasis is on application.

401 (cross-listed with AM 401, Mfg 402)
Engineering Statistics for Manufacturing Systems
Prerequisites: Senior or graduate standing. I. (3).
Fundamentals of statistics. Independent t-test and paired t-test. Two-level factorial design. Fractional factorial designs. Matrix algebra and canonical analysis. Regression analysis (Least Squares Method). Response surface methodology. Probability. Binomial and Poisson distributions. Single sampling plan. Statistical process control (SPC). Taguchi methods. Introductory time series analysis and Defect Preventive Quality Control.

402 (cross-listed with AM 402)
Experimental Stress Analysis
Prerequisites: ME 211 and Math 216 I. (offered in alternate years) (3).
Review of plane stress-strain relationships;fundamentals of photoelastic methods of stress determination using transmission polariscope and methods of separating principal stresses; theory and application of brittle coatings; fundamental of Moire fringe method of strain analysis; techniques of mechanical, optical, and electric resistance strain gages and related circuitry. Lectures and laboratory experiments.

404 (cross-listed with AM 404)
Coherent Optical Measurement Techniques
Prerequisites: Senior or graduate standing. II. (3).
Modern optical techniques using lasers in measurements of mechanical phenomena. Introduction to the nature of laser light and Fourier optics; use of holography and laser speckle as measurement techniques; laser-doppler velocimetry.

412 (cross-listed with AM 412)
Advanced Strength of Materials
Prerequisites: ME 311. I. (3).
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.

419 (cross-listed with AM 419)
Mechanics of Composite Materials
Prerequisites: ME 211 and ME 240. II. (3).
Classification and characterization of composite materials. Behavior in the elastic range. Stress-strain relations for anisotropic media. Orthotropic laminae. Plane problems, theory of anisotropic plates. Bending, buckling, and vibrations of laminated plates.

420
Fluid Mechanics II
Prerequisites: ME 320.II. (3).
Control volume and streamline analysis for steady and unsteady flows. Incompressible and compressible flow. Hydraulic systems. Design of components. Losses and efficiency. Applications to centrifugal and axial flow machinery, e.g., fans, pumps, and torque converters.

424 (cross-listed with EECS 415)
Engineering Acoustics
Prerequisites: ME 320.II. (3).
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.

432 Combustion
Prerequisites: ME 336, preceded or accompanied by ME 370. II. (3).
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.

435 Design of Thermal-Fluid Systems
Prerequisites: ME 336 and ME 370. II. (3).
System design concepts, models and simulation; optimization; mathematical techniques; economic considerations. Application to various thermal-fluid systems. Design term projects.

436 Direct Energy Conversion
Prerequisites: ME 336 or equivalent. I. (3).
Thermodynamic and operational analysis of direct energy conversion devices. Topics include fuel cells, thermoelectric generators and coolers, and thermionic, photovoltaic, and magnetohydrodynamic converters; demonstration of selected devices.

437 Applied Energy Conversion
Prerequisites: ME 336 or equivalent. I. (3).
Quantitative treatment of energy resources, conversion processes, and energy economics. Consideration of fuel supplies, thermodynamics, environmental impact, capital and operating costs. Emphasis is placed on conversion of natural energy sources to electricity, treating both the technical and economic aspects of fossil, nuclear, solar, and geothermal power production.

438 Internal-Combustion Engines
Prerequisites: Preceded or accompanied by ME 336 or permission of instructor. I. (4).
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.

440 (cross-listed with AM 440)
Intermediate Dynamics and Vibrations
Prerequisites: ME 240. Graduate students only by permission of instructor. I and II. (4).
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.

451 (cross-listed with Mfg 453)
Properties of Advanced Materials for Design Engineers
Prerequisites: ME 382. II. (3).
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.

452 (cross-listed with Mfg 452)
Design for Manufacturability
Prerequisites: ME 350. I. (3).
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.

454 (cross-listed with Mfg 454)
Computer-Aided Mechanical Design
Prerequisites: Eng 101 and ME 360. II. (3).
Introduction to the use of the digital computer as a tool in engineering design and analysis of mechanical components and systems. Simulation of static, kinematic, and dynamic behavior. Optimal synthesis and selection of elements. Discussion and use of associated numerical methods and application software. Individual projects.

456 (cross-listed with AM 456, BiomedE 456)
Biomechanics
Prerequisites: ME 211 and ME 240. II. (3).
Definition of biological tissue behaviors, including elastic, viscoelastic, and plastic properties, with emphasis on bone; dynamics of gait; impact and tolerance criteria in vehicle design for human safety; prosthetic and orthotic mechanics and design.

458 Automotive Engineering
Prerequisites: ME 350. I and II. (3).
Emphasizes systems approach to automotive design. Specific topics include automotive structures, suspensions, steering, brakes, and driveline. Basic vehicle dynamics in the performance and handling modes are discussed. A semester team-based design project is required.

461 Automatic Control
Prerequisites: ME 360. I. (3).
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.

463 (cross-listed with EECS 463, Mfg 464)
Modern Control Systems Design
Prerequisites: EECS 460 or ME 461 or Aero 471. I and II. (4).
The class is organized into teams of four to five students. Each team must select, plan, and complete a design project within the general theme of automatic control systems. The project accounts for approximately 75% of the course grade. Lectures will cover state space analysis techniques, system ID basics, and state space feedback design methods.

467 (cross-listed with EECS 467)
Robotics: Theory, Design, and Application
Prerequisites: ME 360 or EECS 360 and senior standing. II. (3).
Basic concepts underlying the design and application of computer-controlled manipulators: manipulator geometry, work volume, sensors, feedback control of manipulator linkages, kinematics, trajectory planning, programming, robot system architecture, design and application. Lab experiments cover kinematics, dynamics, trajectory planning, control of manipulators, and motion by fixed robots and mobile robots.

471 Computational Heat Transfer
Prerequisites: ME 370. II. (3).
Enclosure and gas radiation. Parallel flow and boundary layer convection. Variable property and odd geometry conduction. Technological applications. Individual term projects. Use of elementary spectral, similarity, local similarity, local (finite) difference and global difference (finite element) solution techniques.

476 (cross-listed with BiomedE 476)
Thermal-Fluid Sciences in Bioengineering
Prerequisites: ME 370. I. (3).
Dynamics, measurements and simulation of vascular pressure and flow in health and disease, microcirculation, design of prosthetic flow-regulation devices, cellular energetics and body metabolism, thermal modeling and measurements, cell hyperthermia and hypothermia, design of blood heat exchangers, thermal probes, cryoprobes, prosthetic mass transfer devices, medical visualization and medical image processing.

482 (cross-listed with Mfg 492)
Machining Processes
Prerequisites: Senior standing. II. (4).
Mechanics of 2-D and basic 3-D cutting. Industrially-applicable, mechanistic force models for practical processes including turning, facing, boring, face milling, end milling, and drilling. Surface generation and wear-based economic models. Motivation for and methods of applying developed models in simultaneous engineering. Three hours of lecture and one two-hour laboratory.

487 (cross-listed with Mfg 488)
Welding
Prerequisites: ME 382. I. (3).
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.

499 Special Topics in Mechanical Engineering
Prerequisites: Permission of instructor I, II, IIIa, and IIIb. (Arranged).
Selected topics pertinent to mechanical engineering

501 (cross-listed with AM 501)
Analytical Methods in Mechanics
Prerequisites: ME 211, ME 240, and Math 216. I. (3).
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 (cross-listed with AM 502)
Methods of Differential Equations in Mechanics
Prerequisites: Math 454. II. (3).
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.

503 (cross-listed with AM 503)
Mathematical Methods in Applied Mechanics
Prerequisites: One 500 level course in mechanics. I. (3).
Matrix methods applied to the stiffness matrix, vibration analysis, and hydrodynamic stability. Solution of integral equations by collocation, variational methods, successive approximations; applications to elasticity, plates, slow viscous flow, and inviscid flow. Finite difference and finite increment methods; application to wave propagation, structural stability, plasticity, free-surface flows and wakes.

504 (cross-listed with AM 504)
Principles and Applications of Variational Methods
Prerequisites: ME 440 (cross-listed with AM 440). II. (offered in alternate years) (3).
Fundamental processes of the calculus of variations; derivation of the Euler-Lagrange equations; proof of the fundamental lemma; applications of the direct method; Lagrange multipliers; "natural" boundary conditions; variable end points; Hamilton's canonical equation of motion; Hamilton-Jacobi equations. Description of fields by variational principles. Applications to mechanics. Approximate methods.

505 (cross-listed with AM 505)
Finite Element Methods in Mechanical Engineering and Applied Mechanics
Prerequisites: ME 501 (cross-listed with AM 501), ME 311, and ME 320 or ME 370. I and II. (3).
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 flow problems. Program development and modification are expected as well as learning the use of existing codes.

507 Approximate Methods in Mechanical Engineering
Prerequisites: Senior standing. II. (3).
Orthogonal and nonorthogonal expansions. Matrix algebra and algebraic eigenvalue problems. Finite difference formulation and solution. Integral and variational approaches to finite element formulation. Solution by electronic calculator and digital computer. Application to conduction, convection, radiation heat transfer, and fluid and solid mechanics.

508 Law for Engineers
Prerequisites: Senior or graduate standing. I. (3).
Provide engineering students and professionals with some background in areas of law that affect engineering practice such as contracts, product liability, government regulation, and intellectual property. Case law of engineering relevance will be used throughout the course.

511 (cross-listed with AM 511)
Theory of Solid Continua
Prerequisites: ME 211 and Math 450. I. (3).
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 (cross-listed with AM 512)
Theory of Elasticity
Prerequisites: ME 412 (cross-listed with AM 412) or ME 511 (cross-listed with AM 511). II. (3).
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.

514 (cross-listed with AM 514)
Nonlinear Fracture Mechanics
Prerequisites: ME 412 (cross-listed with AM 412). II. (3).
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 (cross-listed with AM 515)
Contact Mechanics
Prerequisites: ME 311 or 350. I. (offered in alternate years) (3).
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.

517 (cross-listed with AM 517, MacroSE 517)
Theory of Linear Viscoelasticity I
Prerequisites: ME 511 (cross-listed with AM 511) or permission of instructor. II. (3).
Constitutive equation for linear isothermal viscoelastic response; constant stress or strain rate response; sinusoidal oscillations and the complex modulus, bending and torsion; three-dimensional response; correspondence theorem and boundary value problems for elastic and viscoelastic response; Laplace transform and numerical solution methods.

AM 518 (cross-listed with Aero 518)
Theory of Elastic Stability I
Prerequisites: ME 511 (cross-listed with AM 511). II. (3).
Elastic and inelastic buckling of bars and frameworks; variational principles and numerical solutions; lateral buckling of beams. Instability of rings.

519 (cross-listed with AM 519)
Theory of Plasticity I
Prerequisites: ME 511 (cross-listed with AM 511). II. (3).
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. Applications to problems of bending, torsion, plane strain and plane stress; technological problems.

520 (cross-listed with AM 520)
Advanced Fluid Mechanics I
Prerequisites: ME 320. I and II. (3).
Fundamental concepts and methods of fluid mechanics; inviscid flows 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.

521 (cross-listed with AM 521)
Advanced Fluid Mechanics II
Prerequisites: ME 520 (cross-listed with AM 520). II. (3).
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 (cross-listed with Aero 523, AM 523)
Computational Fluid Dynamics I
Prerequisites: Preceded or accompanied by Aero 520 or ME 520 (cross-listed with AM 520). I. (3).
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: ME 424 (cross-listed with EECS 415) I. (3).
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 (cross-listed with AM 527)
Multiphase Flow
Prerequisites: ME 520 (cross-listed with AM 520). II. (offered in alternate years) (3).
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, vapor/liquid flows, kinematics and acoustics of bubbly flows, instabilities and shock waves in bubbly flows, stratified, annular, and granular flow.

532 Advanced Combustion
Prerequisites: ME 432 or equivalent. II. (3).
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.

534 Advanced Internal Combustion Engines
Prerequisites: ME 438. II. (3).
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.

535 Thermodynamics III
Prerequisites: ME 336. I. (3).
Definitions and scope of thermodynamics; first and second laws. Maxwell's relations, Clapeyron relation; equation of state; thermodynamics of chemical reactions; availability.

541 (cross-listed with AM 541)
Mechanical Vibrations
Prerequisites: ME 440 (cross-listed with AM 440). I. (3).
Time and frequency domain mathematical techniques for linear system vibrations. Equations of motion of discrete nonconservative 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: ME 440 (cross-listed with AM 440). II. (3).
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 (cross-listed with AM 543)
Analytical and Computational Dynamics I
Prerequisites: ME 440 (cross-listed with AM 440). I. (3).
Modern analytical rigid body dynamics equation formulation and computational solution techniques applied to mechanical multi- body systems. Kinematics of motion generalized coordinates and speeds; analytical and computational determination of inertia properties; generalized forces; Gibb's function; Routhian, Kanes' equations, Hamilton's principle, Lagrange's equations; holonomic and nonholonomic constraints, constraint processing; computational simulation.

551 Mechanisms Design
Prerequisites: ME 350. II. (3).
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 Electromechanical System Design
Prerequisites: EECS 210 or equivalent. I. (3).
Design of electromechanical systems with emphasis placed on the integration of mechanical and electrical principles. Topics include: electromechanical device design: generators/alternators, electrical motors, measurement/sensing devices; digital control: microprocessors, AD/DA converters, data transmission and acquisition; electromechanical system design: mixed domain modeling, real time control and mechatronic systems.

553 (cross-listed with Mfg 553)
Microelectromechanical Systems
Prerequisites: Senior or graduate standing. II. (offered in alternate years) (3).
Basic integrated circuit (IC) manufacturing processes; electronics devices fundamentals; microelectro-mechanical systems fabrications including surface micromachining, bulk micromachining, LIGA and others. Introduction to microactuators 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.

554 (cross-listed with IOE 564, Mfg 554)
Computer Aided Design Methods
Prerequisites: ME 454 (cross-listed with Mfg 454) or ME 501 (cross-listed with AM 501) or IOE 373. I. (3).
Generalized mathematical modeling of engineering systems, methods of solution, 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 (cross-listed with Mfg 555)
Design Optimization
Prerequisites: Math 451 and Math 217 or equivalent. II. (3).
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.

556 (cross-listed with Mfg 556)
Fatigue in Mechanical Design
Prerequisites: Stress-based finite element course is recommended.I and II. (3).
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.

557 (cross-listed with Mfg 557)
Materials in Manufacturing and Design
Prerequisites: Senior or graduate standing. I. (3).
Material selection on the basis of cost, strength, formability, and machinability. Advanced strength analysis of heat-treated and cold-formed parts including axial, bending, shear and cyclic deformation. Correlations of functional specifications and process capabilities. Problems in redesign for productibility and reliability.

558 Discrete Design Optimization
Prerequisites: Senior or graduate standing. I. (offered in alternate years) (3).
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.

559 Smart Materials and Structures
Prerequisites: EECS 210 or equivalent. I. (offered in alternate years) (3).
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 (cross-listed with Mfg 562)
Modeling Dynamic Systems
Prerequisites: ME 360. I. (3).
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.

561 (cross-listed with Aero 571, EECS 561)
Design of Digital Control Systems
Prerequisites: Aero 471, EECS 460, or ME 461. I and II. (4).
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 Systems Processes
Prerequisites: ME 320 and ME 370. II. (offered in alternate years) (3).
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 (cross-listed with IOE 565, Mfg 561)
Time Series Modeling, Analysis, Forecasting
Prerequisites: IOE 365 or ME 401. I. (3).
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 (cross-listed with Aero 550, EECS 560)
Linear Systems Theory
Prerequisites: Graduate standing. I. (4).
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.

AM 565 (cross-listed with Aero 565)
Optimal Structural Design
Prerequisites: Aero 414. II. (3).
Optimal design of structural elements (bars, trusses, frames, plates, sheets) and systems; variational formulation for discrete and distributed parameter structures; sensitivity analysis; optimal material distribution and layout; design for criteria of stiffness, strength, buckling, and dynamic response.

567 (cross-listed with EECS 567, Mfg 567)
Introduction to Robotics: Theory and Practice
Prerequisites: EECS 380. II. (3).
Introduction to robots considered as electromechanical computational systems performing work on the physical world. Data structures representing kinematics and dynamics of rigid body motions and forces and controllers for achieving them. Emphasis on building and programming real robotic systems and on representing the work they are to perform.

568 Vehicle Control Systems
Prerequisites: ME 461 or equivalent. II. (3).
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 modeling, occupant comfort and driver interfaces. This course can be used as part of the IVHS certificate program.

571 Conduction Heat Transfer
Prerequisites: ME 370. II. (3).
Lumped, differential, and integral formulations of conduction. Product solutions in terms of orthogonal functions or approximate profiles. Periodic conduction. Computational conduction: finite difference versus finite element. Technological applications.

572 Convection Heat Transfer
Prerequisites: ME 370. II. (3).
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.

573 Radiative Heat Transfer
Prerequisites: ME 370. I. (3).
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.

574 Phase Change Dynamics
Prerequisites: ME 336 and ME 370. II. (3).
Heat and mass transfer and fluid dynamics of phase change and two-phase flow. Basic laws, mechanisms and correlations for evaporation, boiling, condensation, and pressure drop. Applications in areas of power plant boilers and condensers (conventional and nuclear), internal combustion engines (carburetion, diesel injection), freeze-drying, bubble lift pumps, humidification/dehumidification.

575 Heat Transfer in Porous Media
Prerequisites: ME 370 or equivalent. I. (3).
Heat transfer and fluid flow in porous media are examined based on conservation principles. Local volume-averaging is developed and applied to conduction, convection, mass transfer, radiation, and two-phase flows. Several single-phase and two-phase problems are examined.

580 (cross-listed with Mfg 580)
Rheology and Fracture
Prerequisites: ME 382. I. (3).
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. Surface stress and energy states, wetting, solid adhesion, and friction. Ductile, creep, brittle, and fatigue failure mechanisms.

581 (cross-listed with Mfg 581)
Friction and Wear
Prerequisites: Background in materials and mechanics desirable. II. (3).
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.

582 (cross-listed with Mfg 582, MSE 523)
Metal-Forming Plasticity
Prerequisites: ME 211. II. (3).
Elastic and plastic stress-strain relations; yield criteria and flow rules; analyses of various plastic forming operations. Effects of work hardening and friction, temperature, strain rate, and anisotropy.

583 (cross-listed with EECS 583)
Sensing and Modeling for Manufacturing Control
Prerequisites: ME 461. I. (3).
Fundamental concepts in manufacturing with emphasis on welding, machining, and forming. Input and output variables for process control. Characteristics of sensors for feedback in manufacturing. Fiber optics,interferometry, infrared thermal imagery, tactile sensing, force/torque sensing for robots, force dynamometers, acoustic emission. Signal processing. Process modeling for control.

584 (cross-listed with Mfg 584)
Control of Machining Systems
Prerequisites: ME 461 or equivalent. II. (3).
Advanced control and sensing methodologies for machining processes: milling, turning, drilling, grinding and laser cutting. Machine tool structure; CNC programming; drive components; trajectory interpolators; selection of control parameters; software compensation and adaptive control. The design process of a comprehensive machining system. Two-hour lecture and two-hour lab per week.

585 (cross-listed with Mfg 585)
Machining Dynamics and Mechanics
Prerequisites: Graduate standing or permission of instructor. I. (offered in alternate years (3).
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 (cross-listed with AM 586)
Mechanical Properties of Thin Films and Layered Materials
Prerequisites: ME 211 or equivalent. I. (offered in alternate years) (3).
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.

587 (cross-listed with Mfg 587, Corporate Strategies 587, Operations Mgt 587)
Agile Manufacturing
Prerequisites: One 500 level Mfg or Design or Business class. II. (3).
Product-process-market modeling. Principles of mass pro-duction. Agility in product design. Agility in manufacturing processes. Flexible line boring. Optimal batch size. System reliability. Product quality. CAD/CAM and CNC. Agility in marketing and delivery. Virtual organizations. Agile scheduling. Using agile strategies in product development.

589 (cross-listed with Mfg 589)
Failure Analysis Case Studies
Prerequisites: Preceded or accompanied by ME 350. II. (3).
Detailed case study of a variety of service failures in engineering structures such as vehicles, medical implants, hoisting equipment, machinery, and consumer products such as ladders, mowers, and tools. Procedures for analysis include applications of optical and electron microscopy; load history, dynamics, and stress analysis;indentation hardness analysis; accident investigations and reconstruction techniques; specifications and standards; fracture mechanics. The expert's role in product liability litigation.

590 Study or Research in Selected Mechanical Engineering Topics
Prerequisites: Graduate standing; permission of the instructor who will guide the work must be obtained before registration. I, II, III, IIIa, and IIIb. (To be arranged; a maximum of 6 credit hours will be allowed toward graduate degrees.)
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. Course grade is reported as Satisfactory/Unsatisfactory.

591 Automotive Engineering Seminar I
Prerequisites: Graduate standing. I. (1).
A series of invited speakers from industry, academia, and government will present seminars on various aspects of automotive engineering. Speakers will emphasize systems engineering, design and manufacturing, team building practices, business and management issues, and other topics which would broaden the student's perspective. Term paper required.

592 Automotive Engineering Seminar II
Prerequisites: Graduate standing. II. (1).
A series of invited speakers from industry, academia, and government will present seminars on various aspects of automotive engineering. Speakers will emphasize systems engineering, design and manufacturing, team building practices, business and management issues, and other topics which would broaden the student's perspective. Term paper required.

595 Master's Thesis Proposal
Prerequisites: Graduate standing in ME. I, II, III, IIIa, and IIIb. (3). Not for credit until 6 hours of ME 695 is satisfactorily completed.
A course devoted to literature search, analysis, design of experiments, and other related matters prior to completion of a master's degree thesis. A thesis proposal clearly delineating the proposed research and including the above items is required at the conclusion of the course. Course is letter-graded.

599 (cross-listed with EECS 567, Mfg 567)
Special Topics in Mechanical Engineering
Prerequisites: Permission of instructor. I, II, IIIa, and IIIb. (To be arranged).
Selected topics pertinent to mechanical engineering.

605 (cross-listed with AM 605)
Advanced Finite Element Methods in Mechanics
Prerequisites: ME 505 (cross-listed with AM 505) or CEE 510 (cross-listed with NA 512). II. (3).
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.

AM 618 (cross-listed with Aero 618)
Theory of Elastic Stability II
Prerequisites: Aero 518 or equivalent and graduate standing. II. (3).
Koiter's theory for buckling, post-buckling, mode interaction and imperfection sensitivity behavior in nonlinear solids. Applications to thin-walled beams, cylindrical and spherical shells as well as to 3-D hyperelastic solids. Loss of ellipticity in finitely strained solids. Hill's theory on bifurcation, uniqueness, and post-bifurcation analysis in elastic-plastic solids with applications.

619 (cross-listed with AM 619)
Theory of Plasticity II
Prerequisites: ME 519 (cross-listed with AM 519). II. (3).
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 (cross-listed with AM 622)
Inviscid Fluids
Prerequisites: ME 520 (cross-listed with AM 520). II. (3).
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 (cross-listed with AM 623)
Hydrodynamic Stability
Prerequisites: ME 520 (cross-listed with AM 520). I. (3).
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 (cross-listed with AM 624)
Turbulent Flow
Prerequisites: ME 520 (cross-listed with AM 520). I. (offered in alternate years) (3).
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 (cross-listed with AM 625)
Nonhomogeneous Fluids
Prerequisites: ME 520 (cross-listed with AM 520). I and II. (3).
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 (cross-listed with AM 626)
Perturbation Methods for Fluids
Prerequisites: ME 520 (cross-listed with AM 520). I. (3).
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 (cross-listed with AM 627, NA 627)
Wave Motion in Fluids
Prerequisites: ME 520 (cross-listed with AM 520). II. (offered in alternate years) (3).
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: ME 336. II. (3).
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: ME 535. II. (3).
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 (cross-listed with AM 641)
Advanced Vibrations of Structures
Prerequisites: ME 541 (cross-listed with AM 541). II. (offered in alternate years) (3).
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 (cross-listed with AM 643)
Analytical and Computational Dynamics II
Prerequisites: ME 543 (cross-listed with AM 543). II. (offered in alternate years) (4).
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 (cross-listed with AM 645)
Wave Propagation in Elastic Solids
Prerequisites: ME 541 (cross-listed with AM 541). II. (offered in alternate years) (3).
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 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 (cross-listed with BiomedE 646)
Mechanics of Human Movement
Prerequisites: Aero 540 or ME 543 (cross-listed with AM 543) or equivalent. II. (offered in alternate years) (3).
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 (cross-listed with AM 648)
Nonlinear Oscillation and Stability of Mechanical Systems
Prerequisites: ME 541 (cross-listed with AM 541). II. (offered in alternate years) (3).
Large amplitude mechanical vibrations; phase-plane analysis and stability; global stability, theorems of Liapunov and Chetayev; asymptotic and perturbation methods of Lindstedt-Poincaré 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 (cross-listed with Aero 615, AM 649, CEE 617)
Random Vibrations
Prerequisites: Math 425 or equivalent, CEE 513 (cross-listed with ME 541 and Aero 543) or equivalent. II.(offered in alternate years) (3).
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: ME 561 (cross-listed with Aero 571, EECS 561). I. (offered in alternate years) (3).
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 (cross-listed with Aero 672, EECS 662)
Advanced Nonlinear Control
Prerequisites: EECS 562 (cross-listed with Aero 551) or ME 648 (cross-listed with AM 648) or permission of instructor. I. (offered in alternate years) (3).
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 (cross-listed with IOE 565, Mfg 561)
Estimation of Stochastic Signals and Systems
Prerequisites: ME 563 (cross-listed with IOE 565, Mfg 561) or equivalent. I. (offered in alternate years) (3).
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.

672 Turbulent Transport of Momentum, Heat, and Mass
Prerequisites: ME 572 or permission of instructor. I. (offered in alternate years) (3).
Introduction to laminar flow stability. Statistical and phenomenological theories of turbulence. Turbulent transport of momentum, heat, and mass in steady and unsteady internal, boundary layer, and free flows. Skin friction, heat, and mass transfer coefficients. Discussion of experimental results.

695 Master's Thesis Research
Prerequisites: ME 595. I, II, IIIa, IIIb, and III. (Student must elect 2 terms of 3 hrs/term. No credit if student has had ME 590).
Student is required to present a seminar at the conclusion of the second election as well as prepare a written thesis. Course grade is reported as Satisfactory/Unsatisfactory.

790 (AM 790) Mechanical Sciences Seminar
Prerequisites: Candidate status in ME(AM). I. (1).
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 (AM 990) Dissertation/Pre-Candidate
Prerequisites: Permission of thesis committee. I, II, and III. (1­8); IIIa and IIIb. (1­4).
Election for dissertation work by doctoral student not yet admitted to status as candidate.

995 (AM 995) Dissertation/Candidate
Prerequisites: Graduate school authorization for admission as a doctoral candidate.
I, II, and III. (8); IIIa and IIIb. (4).
Election for dissertation work by doctoral students who have been admitted to status as candidates. The defense of the dissertation, that is, the final oral examination, must be held under a full term candidacy enrollment.