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. Design and interpretation of control charts. Introduction to mesh generation, numerical discrimination, stability, convergence, and accuracy of numerical methods. (4 credits) Typical power producing cycles and refrigerators. (3 credits) Tolerance. Solution methods for model equations and the Euler and the Navier-Stokes equations. (3 credits) 2350 Hayward Spectral methods for free and forced vibrations. The redesigned program provides students ... degree in Mechanical Engineering at the University of Michigan in July 2001 Journal of Engineering Education 437 The New Mechanical Engineering Basics of manufacturing: processes, materials and thermofluid aspects. This course will cover theoretical aspects of smart materials, sensors and actuator technologies. Courses, by research area Autonomous Systems and Control Fundamental courses. Student(s) work under the direction of Mechanical Engineering faculty. Research Areas: Diversity, Equity and Inclusion; Students and practitioners; Instructional innovation and change. (1-3 credits) Four hours of lecture per week. 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. The student will submit a report on the project at the close of the term. (3 credits) Integration of economic indicators with life cycle environmental and social metrics for evaluating technology systems. Conceptual design. 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. Introduction to combustion processes; combustion thermodynamics, reaction kinetics and combustion transport. Prerequisite: MECHENG 541. (to be arranged) Surface roughness effects. Galerkin and Papcovich-Neuber solutions, singular solutions, spherical harmonics. MECHENG 382 – Mechanical Behavior of Materials. Introduction to micro-actuators and microsensors such as micromotors, grippers, accelerometers and pressure sensors. (3 credits) Prerequisite: MECHENG 360. The structure of one-dimensional diffusion and premixed flames; introduction to activation energy asymptotics. Ito calculus and mean-square analysis. Time and frequency domain mathematical techniques for linear system vibrations. May not be taken concurrently with MECHENG 455 or MECHENG 495. 17 undergraduate programs of study lead to a Bachelor of Science in Engineering (B.S.E.) Derivation of the acoustic wave equation and development of solution techniques. Prerequisite: MECHENG 461 or equivalent. The finite volume formulation of the equations. consists of three integrated courses in Design and Manufacturing, two Laboratory courses, and several redesigned courses in the Engineering Sciences. Design projects. Advanced treatment of fundamental combustion processes. (3 credits) Application to problems of bending, torsion, plane strain and plane stress, technological problems. (Course Profile), Prerequisite: MECHENG 211. Exact and approximate techniques for the analysis of problems in mechanical engineering including structures, vibrations, control systems, fluids, and design. Sound in ducts and enclosures. Non-traditional machining. Mathematical modeling of engineering design problems for optimization. Introduction to pattern formation. Methodology for materials selection and optimization, including performance indices, multiple constraints and multiple objectives. Official tutoring will end on Tuesday, December 8th. Prerequisite: MECHENG 382 and MECHENG 335 or equivalent. This course is appropriate for students from any area of science and engineering. Semester-long, model-based design/build/test project in a team setting (Course Profile), Prerequisite: MECHENG 240 and P/A EECS 314. It has been an extraordinary year, one that has underscored the grit, resolve, and dedication of our entire community — our faculty, staff, students, and alumni alike. Emphasis on laboratory report writing, oral presentations and team-building skills, and the design of experiments (Course Profile). This course may be used as part of the IVHS certification program. (Course Profile), Prerequisites: MECHENG 320 and MECHENG 382. Exposure to CAD systems and basic machine shop techniques. Large amplitude mechanical vibrations; phase-plane analysis and stability; global stability, theorems of Liapunov and Chetayev; asymptotic and perturbation methods of Lindstedt-Poincare, multiple scales, Krylov-Bogoliubov-Mitropolsky; external excitation, primary and secondary resonances; parametric excitation, Mathieu/Hill equations, Floquet theory; multi-degree of freedom systems and modal interaction. Prerequisite: MECHENG 350. This course will focus on scientific understanding and computational techniques. Applications to separated, turbulent and two-phase flows, flow control and flows involving heat transfer. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment. Three hours lecture and two hours laboratory. (3 credits) Analysis of dynamic system models, including time and frequency responses. Enterprise globalization strategies. Minimum grade of "C" required for enforced prerequisites. (Course Profile), Prerequisite: Physics 140 &141, and preceded or accompanied by (Math 216 or Math 156.) Product design using advanced polymeric materials and composites; part consolidation, snap-fit assemblies; novel applications. A semester team-based design project is required. Tolerance analysis. The Michigan Engineering Course Guide & Bulletin is our definitive source for the College’s academic offerings and requirements. Development of the asymptotic theory of the Orr-Sommerfeld equation. (3 credits) Axisymmetric torsion. Conduction of heat and electricity across interfaces. Chain reactions, ignition, quenching and flammability limits, detonations, deflagrations and flame stability. Students will have the opportunity to develop a program to implement the methods to simulate nanostructure evolution. For the most complete and up-to-date information regarding courses available, class times and locations, check the U-M Office of the Registrar’s official Class Schedule . 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. Describes the core methods used to simulate matter at the atomic scale. (4 credits) Introduction of the concepts and terminology, the state of the art developmetn, energy conversion and storage options, modeling, analysis, system integration and basic principles of vehicle controls. Prerequisite: MECHENG 311 or MECHENG 350. 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. Application of asymptotic methods to fluid mechanics, with special emphasis on the method of matched expansions. Surface durability in rolling. Robust design. (3 credits) (3 credits) (4 credits) Courses material are distributed on Canvas. Computer simulations and discussion of experimental measurement techniques. 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. (Course Profile), Prerequisite: MECHENG 336, preceded or accompanied by MECHENG 320. I’m especially interested in adding the “human in the loop” and studying how humans interact w ith these robotic systems. Individual or group project work where student(s) must apply mechanical engineering principles to research, innovation, service or entrepreneurship projects. Thermodynamic power and refrigeration systems; availability and evaluation of thermodynamic properties; general thermodynamic relations, equations of state and compressibility factors; chemical reactions; combustion; gaseous dissociation; phase equilibrium. (Course Profile), Prerequisite: MECHENG 382. Minimum grade of "C" required for enforced prerequisite. Basic vehicle dynamics in the performance and handling modes are discussed. Advanced topics in conduction and convection including the presentation of several solution methods (semi-quantitative analysis, finite difference methods, superposition, separation of variables) and analysis of multi-mode heat transfer systems. Election for dissertation work by a doctoral student who has been admitted to candidate status. Will review system identification, averaging, feedforward, feedback, multivariable (multiple SISO and MIMO), estimation, dynamic programming and optimal control techniques. Take graduate-level classes during the U-M ME undergraduate program that … Selected topics pertinent to mechanical engineering. Stationary analysis. (4 credits) Dynamics of muscle and tendon, models of muscle contraction. Add “top ranked” to your resume with a graduate degree from the nation’s number one public research institution. 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. Prerequisite: MECHENG 440. Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; differential analysis of fluid flow; dimensional analysis and similitude; laminar and turbulent flow; boundary layers; lift and drag; applications to mechanical, biological, environmental, and micro-fluidic systems (Course Profile), Prerequisite: MECHENG 320. Basic concepts. Seismic behavior of buildings and the basis of seismic building codes. Response model building. (3 credits) Quantum, molecular dynamics and Boltzmann transport treatments are used, along with applications (e.g., thermoelectrics, photovoltaics, laser cooling, phonon recycling, size effects). The Society of Engineering Science has awarded Ellen Arruda for her sustained outstanding contributions in theoretical and experimental mechanics. Dynamics of constrained dynamical systems. MSE280 Materials Science and Engineering Undergraduate Research Opportunity MSE293 Special Topics in Materials Science and Engineering Prerequisite: 382 or equivalent. Prerequisite: candidate status in the mechanical sciences. Process behavior over time. Prerequisite: Math 451 and Math 217 or equivalent. Student(s) work under the direction of Mechanical Engineering faculty. (Course Profile), Prerequisite: MECHENG 490, permission of instructor; mandatory pass/fail. Heat transfer mechanisms. (Course Profile), Prerequisite: MECHENG 350. Moment of inertia properties. Mechanical Engineering students with senior standing are eligible to earn Mechanical Engineering RISE project/ME 490 credit on pre-approved MDP Sponsored Projects (during the second semester of their project only).Students who successfully complete all requirements of ME 490 are able to count it for either 400-level Technical Elective or Specialization Elective credit from the ME department. (3 credits) (3 credits) Prerequisite: MECHENG 311. Radiation and scattering from non-simple geometries. Vibration of continuous systems. (3 credits) (Course Profile), Prerequisite: MECHENG 350, MECHENG 360, and either MECHENG 395 or AEROSP 305. (3 credits) Physical and mathematical foundations of computational fluid mechanics with emphasis on applications. Newton/Euler and Lagrangian formulations for three-dimensional motion of particles and rigid bodies. Analysis and design using root locus, frequency response and state space techniques. Basics of mechanical design: visual thinking, engineering drawing and machine anatomy. Clapeyron relation, equation of state, thermodynamics of chemical reactions, availability. (Course Profile), Prerequisite: MECHENG 250. Unified approach to the atomic-scale origins of plastic, viscous, viscoelastic, elastic, and anelastic behavior. Applications. Controllers are designed for driver assistance and vehicle automation. Traditional manufacturing systems. (Course Profile), Prerequisite: Math 216 or Physics 240. Equipment previously used in auto emissions testing highlights risks. Below you can find the College of Engineering Sample Schedules (for entire department information please visit The Department & Programs Overview page).The guides provide a general overview of the curriculum and are not a replacement for meeting with your assigned professional and … Advanced selected topics pertinent to mechanical engineering. Using a decision-making framework, emphasis is placed on quantitative methods. Prerequisite: MECHENG 382 and senior, or graduate standing. Individual or group experimental or theoretical research in the area of mechanical engineering. Sequential Undergraduate/Graduate Studies Program (SUGS) Current University of Michigan engineering students can complete your bachelor’s and master’s degree in only five years with SUGS. (3 credits) Linear free and forced responses of one and two degree of freedom systems and simple continuous systems. MATSCIE 693 – Special Topics in Materials Science and Engineering. Prerequisite: MECHENG 432 or equivalent. Engine laboratories. (Course Profile), Prerequisite: MECHENG 382. Prerequisite: senior or graduate standing. At U-M, students in Aerospace Engineering begin with a set of courses that provide an exceptional background in all the fundamental aspects of the field. Process capability study. Analytical approach to the engineering problem and performance analysis of internal combustion engines. Dynamics of rotating systems. Design for economical production, Taguchi methods, design for assembly; case studies. (Students should work on project approximately 10 hours/week for 3 credits. Computer assignments. For outstanding contributions to hydrodynamics research, Professor Steve Ceccio has been recognized by ASME. Emphasis is on body concept for design using first order modeling of thin walled structural elements. Mathematical modeling of manufacturing processes used in industry to manufacture mechanical systems:  machining, deformation, welding, assembly, surface treatment, and solidification processes. Proficiency in the fundamental understanding of materials processing techniques. Prerequisite: MECHENG 211. Graded S-U. (3 credits) Advised Prerequisite: CEE 373 or equivalent, MECHENG 360 or CEE 572 or equivalent, MECHENG 564/CEE 571 or equivalent Human factor considerations such as driver interfaces. A Preeminent Institution. (Course Profile), Prerequisite: MECHENG 211, MECHENG 240, Math 216. Study of thermodynamics, fluid flow, combustion, heat transfer and other factors affecting the design, operating and emissions characteristics of different engine types. Prerequisites: MECHENG 481 and MECHENG 401 or equivalent. Differential optimization theory and selected numerical algorithms for continuous nonlinear models. (3 credits) (Course Profile), Prerequisite: MECHENG 235. (3 credits) Nuclear Engineering Explore the most complex forms of alternative energy, nuclear energy. Covers current and future demands for energy; methods of power generation including fossil fuel, solar, wind and nuclear; associated detrimental by-products; and advanced strategies to improve power densities, efficiencies and emissions (Course Profile), Prerequisite: MECHENG 235, MECHENG 336 or permission of instructor. Material properties, including physical, mechanical, thermal, electrical, economic, corrosion and environmental properties. Prerequisite: permission of instructor (to be arranged) Stability and bifurcation theory for autonomous and periodically forced systems. Gas radiation including boundary affected thin gas and thick gas approximations. And humanity has some colossal problems that this podcast series explores. Undamped system response. Stress field of edge and screw dislocations, dislocation interactions, and cross slip. Analysis using interactive computer simulation programs. Many of these courses are cross-listed between U-M’s various schools. Manufacturing system design methodologies and procedures. Projects are proposed from the different areas of study within mechanical engineering and reflect the expertise … Topics will include controls, heat transfer, fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. (3 credits) Prerequisite: MECHENG 520. The student(s) submits proposal and presents poster at ME Undergraduate Symposium.) Prerequisite: MECHENG 438 and MECHENG 461 or equivalent is recommended. Design/manufacturing project. Review of the fundamental concepts and current work in nonlinear theory of hydrodynamic stability. Analysis of discrete- and continuous -time linear stochastic processes with primary application to engineering dynamics. (Course Profile), Prerequisite: Permission of instructor. (Course Profile), Prerequisite: Chem 130 & 125 or Chem 210 & 211, and (Math 116 or Math 121 or Math 156.) (3 credits) Fundamental concepts of laser/material interaction. Z-transforms and state variable descriptions of discrete-time systems. I hope this message finds you safe and well. Nonlinear Systems and Control; AEROSP 552. An introduction to the theory of hydrodynamic stability with applications to stability of thermal flows, rotating and curved flows, wallbounded and free shear flows. (3 credits) Motion planning including obstacle avoidance is also covered. (3 credits) Assembly sequence. Modeling, analysis and control of vehicles with electrified propulsion systems, including electric vehicles, hybrid vehicles, plug-in and fuel cell vehicles. Introduction to the challenges of power generation for a global society using the thermodynamics to understand basic principles and technology limitations. Minimum grade of "C" required for enforced prerequisite. Graduate education at the University of Michigan is a shared enterprise. Independent t-test and paired t-test. 2019-20 … Electromagnetic, optical and quantum aspects of radiative equilibrium. Prerequisite: MECHENG 382. Kinematics of motion generalized coordinates and speeds, analytical and computational determination of inertia properties, generalized forces, Gibb's function, Routhian, Kanes's equations, Hamilton's principle, Lagrange's equations holonomic and nonholonomic constraints, constraint processing, computational simulation. (3 credits) (3 credits) Does not cover IOE or engineering applications (at least not extensively) as IOE classes do, and it uses a different software. A term project emphasizes applications to realistic engineering design problems. Most mechanical engineering courses are worth 3 credits and are offered in the evening from 6-8:45 p.m. Each course meets one night per week during the Fall and Winter terms and twice per week during the Summer I and Summer II half terms. It will also cover design, modeling and manufacturing issues involved in integrating smart materials and components with control capabilities to engineering smart structures. Students work in team design projects from concept generation to prototyping and design verification. Two-dimensional Burke-Schumann flames and boundary layer combustion. Emphasis on structure function relationships. Reconfigurable manufacturing, Rapid prototyping, Direct Metal Deposition (DMD) and semiconductor manufacturing. Chaos and strange attractors. A mechanical engineering design project by which the student is exposed to the design process from concept through analysis to layout and report. Methods of data analysis and empirical modeling. (3 credits) Examples from areas of thermal diffusion, potential/irrotational flows, lubrication, structural mechanics, design of machine components, linear elasticity and Navier-Stokes flows problems. Advised Prerequisite: IOE 366 or MECHENG 401. Concept of statistical process control (SPC). (3 credits) Vibration of multi-degree-of-freedom systems. Boundedness and monotonicity analysis of models. ME Department Chair awarded A.C. Eringen Medal by SES, ASME Fluids Engineering Award recognizes Steve Ceccio, Kon-Well Wang received the 2020 ASME Rayleigh Lecture Award, The Regents of the University of Michigan. Graduate standing or special permission. Use of software for synthesis and analysis. (3 credits) Design projects. Prerequisite: graduate standing; permission of the instructor who will guide the work; mandatory satisfactory/unsatisfactory. (3 credits) (1-8 credits); (1-4 credits) Bases, subspaces, eigenvalues and eigenvectors, canonical forms. Fundamentals of turbulent flows; the basic equations and the characteristic scales, statistical description of turbulence. Recent developments in finite element methods; mixed, hybrid, mixed-hybrid, reduced integration penalty, singular, boundary integral elements. Blackbody radiation, radiative exchange between ideal and non-ideal surfaces dynamic systems such as micromotors grippers! 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