Click to go to: 400 level courses, 500 level courses , or 600-900 level courses. Click here for all graduate level Applied Mechanics courses. In the course listings, the roman numeral tells in which term the course is available (I=Fall, II=Winter, IIIa=Spring Half, IIIb=Summer Half, III=Spring-Summer Full), and the number that follows refers to the credit hours for that course. Example: I. (3) means available first term (Fall) for three credits. 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 (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 methods). 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 (AM 402) Experimental Stress Analysis Prerequisites: ME 211 and Math. 216. I. (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 (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 (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 (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 (EECS 415) Engineering Acoustics Prerequisites: Math. 216 and Physics 240. 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. 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. 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 (ME 440) (old MEAM 441/443 merged) Intermediate Dynamics and Vibrations Prerequisites: ME 240. I, II (4). Graduate students only by permission of instructor. 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 (Mfg. 453) Properties of Advanced Materials for Design Engineers Prerequisites: ME 281. 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 (Mfg. 452) Design for Manufacturability Prerequisites: ME 350. I. (3). Conceptual design. Design for economical production, Taguchi methods, design for assembly. Case studies. Product de-sign using advanced polymeric materials and composites; part consolidation, snap-fit assemblies; novel applications. Design projects. 454 (Mfg. 454) Computer Aided Mechanical Design Prerequisites: Eng. 103 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 (BioE. 456, AM 456) Biomechanics Prerequisites: ME 211, ME 240, ME 241. 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 and II. (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. Three one-hour lectures per week. 463 (EECS 463, Mfg. 464) Modern Control Systems Design Prerequisites: EECS 460 or ME 461 or AE 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 (EECS 467, Mfg. 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 (BioE. 476) Thermal-Fluid Sciences in Bioengineering Prerequisites: ME 230, ME 320, and 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 (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 (Mfg. 488) Welding Prerequisites: ME 281. 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. Selected topics pertinent to mechanical engineering. 501 (AM 501) Analytical Methods in Mechanics Prerequisites: ME 211, ME 240, ME241 and Math. 216. I, II (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 (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 (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 (AM 504) Principles and Applications of Variational Methods Prerequisites: ME440 (AM 440) I. (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 canonical equation of motion; Hamilton Jacobi equations. Description of field by variational principles. Applications to mechanics. Approximate methods. 505 (AM 505) Finite Element Methods in Mechanical Engineering and Applied Mechanics Prerequisites: ME/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 (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 (AM 512) Theory of Elasticity Prerequisites: ME/AM 412 or ME/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 Papcovich-Neuber solutions; singular solutions; spherical harmonics. Thermoelasticity. Axisymmetric contact and crack problems; axisymmetric torsion. 514 (ME 514) Nonlinear Fracture Mechanics Prerequisites: ME/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 (AM 515) Contact Mechanics Prerequisites: ME 311 or 350. II. (offered in alternate and odd 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 (AM 517 Macro.Sci. 517) Theory of Linear Viscoelasticity I Prerequisites: ME/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 tortion; three-dimensional response; correspondence theorem and boundary value problems for elastic and viscoelastic response; Laplace transform and numerical solution methods. 519 (AM 519) Theory of Plasticity I Prerequisites: ME/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 (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 (AM 521) Advanced Fluid Mechanics II Prerequisites: ME/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 (AE 523, AM 523) Computational Fluid Dynamics I Prerequisites: Preceded or accompanied by AE 520 or ME /AM 520. I. (3). Physical and mathematical foundations of computational fluid mechanics with emphasis on application. 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/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 (AM 527) Multiphase Flow Prerequisites: ME/AM 520. II. (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, Capeyron relations; equations of state; thermodynamics of chemical reactions; availability. 541 (AM 541) Mechanical Vibrations Prerequisites: ME 400 (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 (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 (AM 543) Analytical and Computational Dynamics I Prerequisites: ME 400 (AM 440) I. (3). Modern analytical rigid body dynamics equation formulation and computational solution techniques applied to mechan-ical multi-body systems. Kinematics of motion; generalized coordinates and speeds; analytical and computational deter-mination of inertia properties; generalized forces; Gibb's function; Routhian, Kanes's equations, Hamilton's Principle, Lagrange's equations; holonomic and non-holonomic constraints, constraint processing; computational simulation. 551 Mechanism Design Prerequisite: ME 350 II. (3) Basic concepts. Type synthesis - creative design of mechanisms; graph theory. Precision-point Burmester theory for dimensional synthesis of linkages. Applications. Carn 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 Prerequisite: ME EECS 210 or equivalent. I (3) Design of electromechanical systems with emphasis placed on the intergration of electrical and mechanical 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 Microelectromechanical Systems Prerequisites: 554 (I&OE 564, Mfg. 554) Computer Aided Design Methods Prerequisites: ME 454/Mfg. 454 or ME/AM 501 or I&OE 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 (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 nonlineqar 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 (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 (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 includiing 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. (3). Fundamentals of discrete optimization for engineering 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. 559 Smart Materials and Structures Prerequisites: EECS 210 or equivalent. I (alternative 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 (Mfg. 562) Modeling Dynamic Systems Prerequisites: ME 360. I. (3). A unified approach to the modeling, analysis, and simulation of energetic dynamics 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 (AE 571, EECS 561) Design of Digital Control Systems Prerequisites: AE 471, EECS 460, and 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 (IOE 565)(Mfg. 561) Time Series Modeling, Analysis, Forecasting Prerequisites: IO 365 or ME 401. I (3) Time series modeling, analysis, forecasting, and control, identifying paramteric time series, autovariance, spectra, Green's function, trend and seasonality. Examples from manufacturing, quality control, ergonomics, inventory, and management. 564 (AE 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. 567 (EECS 567, Mfg. 567) Introduction to Robotics: Theory and Practice Prerequisites: EECS 380. II. (3). Introduction to robots considered as electro-mechanical 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 240, ME 241, 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). Factory 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 (Mfg. 580) Rheology and Fracture Prerequisites: ME 382 (ME 281) 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 (Mfg. 581) Friction and Wear Prerequisites: Background in materials and/or 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 (MSE 523, Mfg. 582) 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 (Mfg. 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 (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. 585 (Mfg. 585) Machining Dynamics and Mechanics Prerequisites: Graduate standing or permission of instructor. I. (offered in even 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-DOFF stability analysis techniques, stability margins and stability charts. Modeling approximations for industrial applications. 586 (AM 586) Mechanical Properties of Thin Films and Layered Materials Prerequisites: ME 211 or equivalent. I (alternative years) (3) Stresses and deformation 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 (Mfg 587)(Corp. Strat. 587)(Oper. Mgt. 587) Reconfigurable, Agile Manufacturing II Prerequisites: one t500 level mfg or design or business class. II (3) Product-process-market modeling. Principles of mass production. 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 (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, IIIa, IIIb, and III. (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 his or her project and give an oral presentation to a panel of faculty members at the close of the term. Course grade will be reported as Satisfactory/Unsatisfactory. 595 Master's Thesis Proposal Prerequisites: Graduate standing in ME. I, II, IIIa, IIIb, and III. (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. 599 Special Topics in Mechanical Engineering Prerequisites: Permission of instructor. I, II, IIIa, and IIIb. (To be arranged). Selected topics pertinent to mechanical engineering. 605 (AM 605) Advanced Finite Element Methods in Mechanics Prerequisites: ME/AM 505 or CEE 510/NAME 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. 619 (AM 619) Theory of Plasticity II Prerequisites: ME/AM 519. II. (3). Plastic theory for materials with isotropic hardening, kinematic hardening, and time dependence. Theories based on crystal slip; variational theories; 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 (AM 622) Inviscid Fluids Prerequisites: ME/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 (AM 623) Hydrodynamic Stability Prerequisites: ME/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 (AM 624) Turbulent Flow Prerequisites: ME/AM 520. I. (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, phenomenoligical and analytical theories of turbulence, large-eddy and direct simulations of turbulence. 625 (AM 625) Nonhomogeneous Fluids Prerequisites: ME/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 (AM 626) Perturbation Methods for Fluids Prerequisites: ME/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, methods 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 (AM 627, NAME 627) Wave Motion in Fluids Prerequisites: ME/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 (AM 641) Advanced Vibrations of Structures Prerequisites: ME/AM 541. II. (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 (AM 643) Analytical and Computational Dynamics II Prerequisites: ME/AM 543. II. (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; and computational elastodynamics. Course project. 645 (AM 645) Wave Propagation in Elastic Solids Prerequisites: ME/AM 541. II. (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 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 (BioE. 646) Mechanics of Human Movement Prerequisites: ME 540 (AM 540)(Aero 540) or ME 543 (AM 543) or equivalent. II (alternative 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 (AM 648) Nonlinear Oscillations and Stability of Mechanical Systems Prerequisites: ME/AM 541. II. (3). Large amplitude mechanical vibrations; phase-plane analysis and stability; global stability, theorems of Liapunov and Chetayev; asymptotic and perturbation methods of Lindstedt-Poincar?, 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 (ME 615, AM 649, CEE 617) Random Vibrations Prerequisites: Math 425 or equivalent, CEE 513 or ME 541 (AM 541) or AE 543 or equivalent. II (alternative years). (3). Introduction to concepts of random vibration with applications in civil, mechanical, and aerospace engineering. Topics include: characterizations 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. I. (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 adap-tive control systems. 662 (AE 672, AM 662, EECS 662) Advanced Nonlinear Control Prerequisites: EECS 562 or ME 548 (AM 548) or permission of instructor. I. (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 Estimation of Stochastic Signals and Systems Prerequisites: ME 563 or I&OE 565 or equivalent. I. (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. I. (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 will be reported as Satisfactory/Unsatisfactory. 699 Advanced Special Topics in Mechanical Engineering Prerequisites: Permission of instructor. I, II, IIIa, and IIIb. (To be arranged). Advanced selected topics pertinent to mechanical engineering. 790 Mechanical Sciences Seminar Prerequisites: Candidate status in ME/AM. I. (1). Every Ph.D. 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. 990 Dissertation/Pre-Candidate I, II, III. (1-8). IIIa and IIIb. (1-4). Election for dissertation work by doctoral students not yet admitted to status as candidates. 995 Dissertation/Candidate Prerequisites: Graduate school authorization for admission as a doctoral candidate. I, II, 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. Click to go to Mechanical Engineering: 400 level courses, 500 level courses , or 600-900 level courses. Click here for all graduate level Applied Mechanics courses. This page was last updated: 15 July 1997. Please direct questions or comments to meam-www@umich.edu