Mechanical Engineering Master’s program at University of Michigan-Ann Arbor

MECHENG 211. required for enforced prerequisites. (4 credits)Statics: moment and force resultants, equilibrium. Engineering applications: axial loads, torsion of circular rods and tubes, bending and shear stresses in beams, deflection of beams, combined stresses, stress and strain transformation. Four lecture classes per week.

MECHENG 235. required for enforced prerequisites. (3 credits)Introduction to engineering thermodynamics. First law, second law system and control volume analyses properties and behavior of pure substances application to thermodynamic systems operating in a steady state and transient processes. Heat transfer mechanisms. Typical power producing cycles and refrigerators. Ideal gas mixtures and moist air applications.

MECHENG 250. Design and Manufacturing IPrerequisite: Math 116 or equivalent (Math 119 or Math 121 or Math 156 or Math 176 or Math 186 or Math 296) and (ENGR 101 or ENGR 151 or EECS 183 ). required for enforced prerequisite. (4 credits)Basics of mechanical design: visual thinking, engineering drawing, and machine anatomy. Basics of manufacturing: processes, materials and thermofluid aspects. Use of computers in various phases of design and manufacturing. Exposure to CAD systems and basic machine shop techniques. Design manufacturing project.

MECHENG 305. Introduction to Finite Elements in Mechanical EngineeringPrerequisite: MECHENG 311. (3 credits)Introduction to theory and practice of the finite element method. One-dimensional, two-dimensional and three dimensional elements is studied, including structural elements. Primary fields of applications are strength of materials (deformation and stress analysis) and dynamics and vibrations. Extensive use of commercial finite element software packages, through computer labs and graded assignments. Two hour lecture and one hour lab.

MECHENG 320 (NAVARCH 320). grades of W I)].Mechanical Engineering Majors must take MECHENG 235 as a part of their major requirements.

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

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

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

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

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

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

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

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

MECHENG 438. (4 credits)Analytical approach to the engineering problem and performance analysis of internal combustion engines. Study of thermodynamics, combustion, heat transfer, friction and other factors affecting engine power, efficiency and emissions. Design and operating characteristics of different types of engines. Computer assignments. Engine laboratories.

MECHENG 440. Intermediate Dynamics and VibrationsPrerequisite: MECHENG 240. (4 credits)Newton Euler and Lagrangian formulations for three-dimensional motion of particles and rigid bodies. Applications to engineering systems involving vibration isolation, rotating imbalance and vibration absorption.

MECHENG 450. Design and Manufacturing IIIPrerequisite: MECHENG 320, MECHENG 350, MECHENG 360, and either MECHENG 395 or AEROSP 305. May not be taken concurrently with MECHENG 455 or MECHENG 495. Not open to graduate students. (4 credits)A mechanical engineering design project by which the student is exposed to the design process from concept through analysis to layout and report. Projects cover different mechanical engineering disciplines.

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

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

MECHENG 456 (BIOMEDE 456). Modeling in Biosolid MechanicsPrerequisite: [BIOMEDE 231 or MECHENG 211], and [BIOMEDE 2 or MECHENG 382] (3 credits)Definition of biological tissue and orthopedic device mechanics, including elastic, viscoelastic and non-linear elastic behavior. Emphasis on structure function relationships. of tissue adaptation and the interaction between tissue mechanics and physiology.

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

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

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

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

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

MECHENG 489. Sustainable Engineering and Design Prerequisite: MECHENG 235. required for enforced prerequisite. (3 credits)Credit for only one: CEE 265 or MECHENG 489ME 489 covers economic, environmental and social aspects of sustainability as they pertain to engineering design.

MECHENG 491. (1-3 credits)Individual or group experimental or theoretical research in the area of mechanical engineering under the direction of a member of the department. The student will submit a final report.

MECHENG 495. Laboratory IIPrerequisite: [MECHENG 360 and 395 (C or better)] AND [MECHENG 5 (D or better, or concurrent enrollment) and 350 (C or better, or concurrent enrollment)] AND Not open to graduate students. (4 credits)Weekly lectures and extended experimental projects designed to demonstrate experimental and analytical methods as applied to complex mechanical systems. Topics will include controls, heat transfer, fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. Emphasis on laboratory report writing, oral presentations and team-building skills, and the design of experiments.

MECHENG 499. (to be arranged)Selected topics pertinent to mechanical engineering.

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

MECHENG 501. Mathematical Methods in Mechanical EngineeringPrerequisite: advised Math 216 Math 217 or equivalent recommended. (3 credits)Applied mathematics for mechanical engineering with an emphasis on mathematical principles and analytical methods.

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

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

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

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

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

MECHENG 516. (3 credits)Stresses and deformations in layered materials and laminated composites cohesive-zone models of fracture energy-release rates and delamination fracture mechanics of layered materials physics of adhesion spalling interfacial fracture mechanics mixed-mode fracture buckling-driven delamination cracking of thin films and coating adhesion and fracture tests measurement of cohesive fracture parameters.

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

MECHENG 521. Advanced Fluid Mechanics IIPrerequisite: MECHENG 520.

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

MECHENG 524. Advanced Engineering AcousticsPrerequisite: MECHENG 424, (BIOMEDE 424). (3 credits)Derivation of the acoustic wave equation and development of solution techniques. Transmission and reflection from solids, plates and impedance boundaries. Radiation and scattering from non-simple geometries. Sound in ducts and enclosures. Introduction to structural-acoustic coupling. Automotive and other applications considered.

MECHENG 530. Advanced Heat TransferPrerequisite: MECHENG 320 or equivalent background in fluid mechanics and heat transfer. Fundamentals of radiation heat transfer including blackbody radiation, radiative properties, view factors, radiative exchange between ideal and non-ideal surfaces.

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

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

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

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

MECHENG 543. Analytical and Computational Dynamics IPrerequisite: MECHENG 440. (3 credits)Modern analytical rigid body dynamics equation formulation and computational solution techniques applied to mechanical multibody systems.

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

MECHENG 549 (CEE 576). (3 credits)Analysis of discrete and continuous-time linear stochastic processes with primary application to engineering dynamics. Ito calculus and mean-square analysis. Continuous-time Poisson counters and Wiener processes. Stochastic response of nonlinear systems, and the Fokker-Planck Equation. Stationary analysis. Approximate techniques for nonlinear stochastic response.

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

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

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

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