Truncation errors, stability, conservation and monotonicity. (2-3 credits) Selected topics pertinent to mechanical engineering. (YR). Tolerance analysis. (Course Profile), Prerequisite: MECHENG 211, Math 216. Classification of partial differential equations and solution techniques. Energy methods; buckling of columns, including approximate methods; bending of beams of asymmetrical cross-section; shear center and torsion of thin-walled sections; membrane stresses in axisymmetric shells; elastic-plastic bending and torsion; axisymmetric bending of circular plates. Four hours of lecture per week. Physical and mathematical foundations of computational fluid mechanics with emphasis on applications. Advanced treatment of fundamental combustion processes. (Course Profile), Prerequisite: MECHENG 235. Credit for only one: CEE 265 or MECHENG 489. (8 credits); (4 credits) Insertion of new materials into power supplies has changed the landscape of options. (to be arranged) The mathematical tools required to describe spatial motion of a rigid body will be presented in full. Green's tensor; variational, Galerkin and Hamilton's equations. (3 credits) Minimum grade of "C" required for enforced prerequisites. Small oscillation theory. Fundamental concepts of laser/material interaction. A unified approach to the modeling, analysis and simulation of energetic dynamic systems. (Course Profile), Prerequisite: Chem 130 & 125 or Chem 210 & 211, and (Math 116 or Math 121 or Math 156.) Thermoelasticity. This course will focus on scientific understanding and computational techniques. Analytical synthesis of programmable and compliant mechanisms. This course focuses on the dynamics and control of road vehicles. The simple oscillator and its applications. As chair of the University of Michigan Department of Mechanical Engineering (U-M ME), I have been privileged to witness their remarkable commitment and resilience in so many ways... read more Spotlight. Time and frequency domain mathematical techniques for linear system vibrations. Analysis of discrete- and continuous -time linear stochastic processes with primary application to engineering dynamics. Non self-adjoint systems. Graded S-U. Individual topics will be covered on a case by case study basis. Fractional factorial experiments. System configuration analysis. Primary fields of applications are strength of materials (deformation and stress analysis) and dynamics and vibrations. (4 credits) (3 credits) Prerequisite: MECHENG 595; mandatory satisfactory/unsatisfactory. Introduction to the challenges of power generation for a global society using the thermodynamics to understand basic principles and technology limitations. 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. Design of artifacts is addressed from a multidisciplinary perspective that includes engineering, art, psychology, marketing and economics. Introduction to micro-actuators and microsensors such as micromotors, grippers, accelerometers and pressure sensors. Projects are proposed from the different areas of study within mechanical engineering and reflect the expertise … PI for all others. (3 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. (3 credits) Modeling and identification. 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. 400 Level Courses. 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. 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. Design for economical production, Taguchi methods, design for assembly; case studies. The courses in this list do not require background knowledge in any specific domain, such as mechanics, combustion, or aerospace. Mechanisms of deformation, cohesion, and fracture of matter. (3 credits) Topics may be chosen from any of the areas of mechanical engineering. This course may be used as part of the IVHS certification program. 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. (3 credits) Unified approach to the atomic-scale origins of plastic, viscous, viscoelastic, elastic, and anelastic behavior. (3 credits) (3 credits) Individual or group project work where student(s) must apply mechanical engineering principles to research, innovation, service or entrepreneurship projects. Ito calculus and mean-square analysis. 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. Bachelor's Degree | Mechanical Engineering Free me.engin.umich.edu Before a student can declare Mechanical Engineering as their engineering program of study, the following requirements must be met: Students must have completed at least one full term of courses on the UM Reconstructive surgery tech gets its start in an ME 450 class -- the ‘arterial everter’ has now been licensed to Baxter.Read more, From rodent to robot: how a hopping mouse and information theory could inform robotic locomotion.Read more, Professor Peng works to improve vehicle efficiency and self-driving safety.Read more, G.G. 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. This course will cover theoretical aspects of smart materials, sensors and actuator technologies. Vibrating systems; acoustic wave equation; plane and spherical waves in fluid media; reflection and transmission at interfaces; propagation in lossy media; radiation and reception of acoustic waves; pipes, cavities and waveguides; resonators and filters; noise; selected topics in physiological, environmental and architectural acoustics. (Course Profile), Prerequisites: PHYS 240, and PHYS 241, and MECHENG 211, and MECHENG 235, and MECHENG 240; preceded or accompanied by MECHENG 320, and MECHENG 382. Basics of manufacturing: processes, materials and thermofluid aspects. Precision-point Burmester theory for dimensional synthesis of linkages. Measurement system analysis. Design and optimization of thermal systems. Lithium metal solid-state batteries can provide a safer, more powerful alternative to the current standard. The general theory of a continuous medium. (Course Profile), Prerequisite: MECHENG 240. Application to problems of bending, torsion, plane strain and plane stress, technological problems. Prerequisite: senior or graduate standing. Program development and modification are expected as well as learning the use of existing codes. Linear quadratic optimal control and state estimation. Mechanics of proprioceptors and other sensors. Prerequisite: MECHENG 211, Math 450. Motion planning including obstacle avoidance is also covered. Advised Prerequisite: IOE 366 or MECHENG 401. (Course Profile), Prerequisite: MECHENG 336, preceded or accompanied by MECHENG 320. (Course Profile), Prerequisite: Physics 140 &141, and preceded or accompanied by (Math 216 or Math 156.) (3 credits) Stochastic response of nonlinear systems, and the Fokker-Planck Equation. Weekly lectures and experiments designed to introduce the student to the basics of experimentation, instrumentation, data collection and analysis, error analysis and reporting. Minimum grade of "C" required for enforced prerequisite. Minimum grade of "C" required for enforced prerequisites. Energy and momentum concepts. (3 credits) In addition, each student will participate as a panelist in a panel discussion of the future trends in his/her field. Geometry, kinematics, differential kinematics, dynamics, and control of robot manipulators. Equations of motion of discrete non-conservative systems. Product-process-business integration. Mathematical modeling of engineering design problems as discrete optimization problems, integer programming, dynamic programming, graph search algorithms, and introduction to NP completeness. 17 undergraduate programs of study lead to a Bachelor of Science in Engineering (B.S.E.) (3 credits) Four lecture classes per week. Axisymmetric torsion. 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. Thermodynamics I (ME235) Introduction to engineering thermodynamics. Mass production and lean production. Individual or group study or design in an area of Mechanical Engineering under the supervision of a member of the graduate faculty. Prerequisite: MECHENG 520. (3 credits) (Course Profile), Prerequisite: MECHENG 382. (3 credits) Transport phenomena. Kinetics of particles, of assemblies of particles and of rigid bodies. Undamped system response. Assembly sequence. (3/6 credits) (Course Profile), Prerequisite: MECHENG 382. Modern analytical rigid body dynamics equation formulation and computational solution techniques applied to mechanical multibody systems. Design projects. Conceptual design. 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. Integration of economic indicators with life cycle environmental and social metrics for evaluating technology systems. 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. Solution methods for model equations and the Euler and the Navier-Stokes equations. Election for dissertation work by a doctoral student who has been admitted to candidate status. Major emphasis is placed on the analytical and experimental determination of stresses in relationship to the fatigue strength properties of machine and structural components. (Course Profile), Prerequisite: MECHENG 211, MECHENG 240, MECHENG 250. Elements of quantum mechanics, statistical mechanics and kinetic theory, as applied to engineering thermodynamics. Design projects. Two four-hour laboratories per week. Clapeyron relation, equation of state, thermodynamics of chemical reactions, availability. Topics will include controls, heat transfer, fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. (Course Profile), Prerequisite: MECHENG 250. Mathematical modeling of engineering design problems for optimization. (3 credits) Given below is a sample of relevant courses recently offered through engineering departments. Averaged and spectral properties. Emphasis on laboratory report writing, oral presentations and team-building skills, and the design of experiments (Course Profile). (4 credits) Will review system identification, averaging, feedforward, feedback, multivariable (multiple SISO and MIMO), estimation, dynamic programming and optimal control techniques. Reconfigurable manufacturing, Rapid prototyping, Direct Metal Deposition (DMD) and semiconductor manufacturing. Elastodynamic equations, isotropic and anisotropic materials; vector/scalar potentials, reflection and transmission at interfaces, mode conversion, surface waves, Rayleigh-Lamb equation. (to be arranged) (3 credits) My research focuses on designing control systems for wearable robots, like bionic prostheses and exoskeletons. This course covers battery modeling, control and diagnostic methodologies associated to battery electric and battery hybrid electric vehicles. Analytical approach to the engineering problem and performance analysis of internal combustion engines. Emphasis is placed upon system-level modeling, model order reduction from micro-scale and surrogate models for load control, estimation, on-board identification and diagnostics for Lithium Ion batteries. Applications of these methods are illustrated in hands-on laboratories involving research-caliber simulation tools. Individual or group study, design or laboratory research in a field of interest to the student. Methodology for materials selection and optimization, including performance indices, multiple constraints and multiple objectives. To earn a Bachelor of Science in Mechanical Engineering degree from UIC, students need to complete university, college, and department degree requirements. AEROSP 540 (MECHENG 540). Prerequisite: one 400-level MFG or DES or BUS class. Chaos and strange attractors. Student(s) work under the direction of Mechanical Engineering faculty. Design and analysis of two-level factorial experiments. Prerequisite: MECHENG 541. Design and operating characteristics of different types of engines. Scientific perspectives on grand challenges to environment and society created by the production of energy, water, materials and emissions to support modern life styles. Boundedness and monotonicity analysis of models. Modern analytical approach to the design and performance analysis of advanced internal combustion engines. Variational methods of approximation: Bubnov-Galerkin. MECHENG 571 – Energy Generation and Storage Using Modern Materials. Graduate education at the University of Michigan is a shared enterprise. Reconfigurable machines. 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. (3 credits) Minimum grade of "C" required for enforced prerequisites. Friction; transmission of frictional tractions in rolling; fretting; normal and oblique impact. Energy formulation for nonconservative gyroscopic systems. (3 credits) Fax: (734) 647-9379, The Regents of the University of Michigan, Computational & Data-Driven Methods in Engineering, Fundamentals of Renewable Energy Processes, Professional Skills for Graduate Student Success, Residual Stresses & Distortions in Modern Manufacturing, Instrumentation and Experimental Techniques, Self-Driving Cars: Perception and Control, Additive Manufacturing: Theory and Practice, Defects in Materials & Fundamentals of Atomistic Modeling, Dyanmics and Control of Connected Vehicles. Dr. Lattuca studies students’ experiences in engineering courses and programs with the goal of improving curricula, teaching, and learning and broadening participation of marginalized students. Individual or group experimental or theoretical research in the area of mechanical engineering. Approximate techniques for nonlinear stochastic response. Spectral methods for free and forced vibrations. Modeling of processes, microstructure and mechanical properties of processed materials. Fundamentals of statistics. Applications to the control and design of dynamic systems such as robots, machine tools and artificial limbs. Every Ph.D. student in the field of mechanical sciences is asked to present a one-hour seminar about his/her research, and lead a one-hour follow-up discussion. Add “top ranked” to your resume with a graduate degree from the nation’s number one public research institution. A semester team-based design project is required. Prerequisite: MECHENG 440 or MECHENG 540. Euler's equations. Introduction to theory and practice of the finite element method. Topics will include fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. Prerequisite: MECHENG 511 or permission of instructor. Courses Recently Taught at UM-Ann Arbor. For undergraduates only. Prerequisite: senior or graduate standing. Emphasis on the methodology for developing elements by using calculus of variations. (3 credits) Globalization and manufacturing paradigms. Mechanical Engineering. Prerequisite: permission of instructor. Will cover essential aspects of electronic engine control for spark ignition (gasoline) and compression ignition (diesel) engines followed by recent control developments for direct injection, camless actuation, active boosting technologies, hybrid-electric and fuel cell power generation. Surface roughness effects. (1-3 credits) Linear free and forced responses of one and two degree of freedom systems and simple continuous systems. (4 credits) Advised Prerequisite: CEE 373 or equivalent, MECHENG 360 or CEE 572 or equivalent, MECHENG 564/CEE 571 or equivalent The Society of Engineering Science has awarded Ellen Arruda for her sustained outstanding contributions in theoretical and experimental mechanics. Stress, strain and displacement, equilibrium and compatibility. (3 credits) (3 credits) Recent developments in finite element methods; mixed, hybrid, mixed-hybrid, reduced integration penalty, singular, boundary integral elements. Machining process simulation. Case studies: sustainable design of consumer products, manufacturing and infrastructure systems. Advised Prerequisite: MECHENG 360 or equivalent. Prerequisite: MECHENG 360. Emphasis is on application. (3 credits) Website email@example.com Optional: An additional non-mechanical engineering course (any 500-level non-ME course in an engineering discipline, excluding engineering management courses. (3 credits) Stationary analysis. Enterprise globalization strategies. Tolerance. (Course Profile), Prerequisites: MECHENG 320 and MECHENG 382. (Course Profile), Prerequisite: permission of instructor. Assembly on product and process. Graduate standing or special permission. (3 credits) Prerequisite: MECHENG 438. Basics of mechanical design: visual thinking, engineering drawing and machine anatomy. Prerequisites: MECHENG 481 and MECHENG 401 or equivalent. (3 credits) Fixturing. Hertzian elastic contact; elastic-plastic behavior under repeated loading; shakedown. Techniques for measurement of monitoring of important process variables for model verification and process control. Enclosure radiation including spatial, specular, and spectral distributions. Prerequisite: permission of instructor (to be arranged) Statics: moment and force resultants, equilibrium. (3 credits) 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. Also considered are deflection, post-yield behavior, residual stresses, temperature and corrosion effects. (3 credits) Eigenvalue and boundary value problems. Use the link below to research average salaries based on a U-M engineering master’s degree, experience level, and desired work location. Joint design and joining methods. IC CAD tools to design microelectromechanical structures using MCNC MUMPs service. Chain reactions, ignition, quenching and flammability limits, detonations, deflagrations and flame stability. (3 credits) A topic in mechanical engineering under the direction of a member of the department. (Course Profile), Prerequisite: MECHENG 211, MECHENG 240. Basic vehicle dynamics in the performance and handling modes are discussed. (4 credits) Green's functions; boundary element and finite element methods. 2019-20 … Lectures will cover: techniques for model development and simplification with an emphasis on estimation and scaling; 'classical' analytic solutions to simple problems, physical phenomena in materials processing including non-Newtonian fluid flow, solidification, and microstructure development. Continuous-time Poisson counters and Wiener processes. (Course Profile), Prerequisite: MECHENG 235. (4 credits) Applications to engineering systems involving vibration isolation, rotating imbalance and vibration absorption. Introduction to statistical methods for evaluating thermodynamic and transport properties. Radiation and scattering from non-simple geometries. 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). Responsive business models. (Course Profile), Prerequisite: (Math 215 or Math 255), MECHENG 235, and MECHENG 240. Problem Solving and Troubleshooting in the Workplace Prerequisite: Senior Standing. Prerequisite: MECHENG 505 or CEE 510, (NAVARCH 512). (Course Profile), Prerequisite: MECHENG 350. Basic integrated circuit (IC) manufacturing processes; electronics devices fundamentals; microelectromechanical systems fabrications including surface micromachining, bulk micromachining, LIGA and others. (Course Profile), Prerequisite: MECHENG 382. Prerequisite: senior or graduate standing. (3 credits) Using a decision-making framework, emphasis is placed on quantitative methods. This course is appropriate for students from any area of science and engineering. As chair of the University of Michigan Department of Mechanical Engineering (U-M ME), I have been privileged to witness their remarkable commitment and resilience in so many ways... read more, New Mechanical Engineering Faculty Openings. (3 credits) Analysis of human movement, including gait, running and balance. Interaction of function, shape, choice of materials, processing, economics and environmental impact in design. Prerequisite: candidate status in the mechanical sciences. (3 credits) Definitions and scope of thermodynamics; first and second laws. If you would like to receive tutoring beyond that date, you will need to reach out to tutors individually for availability. ME 489 covers economic, environmental and social aspects of sustainability as they pertain to engineering design. Specific topics include automotive structures, suspension steering, brakes and driveline. Dynamical models of automobiles and trucks are constructed and analyzed. (Course Profile), Prerequisite: MECHENG 360. (Course Profile), Prerequisite: MECHENG 211, Math 216. (3 credits) Perturbation theory for the eigenvalue problem. MATSCIE 890 – Colloquium in Materials Science and Engineering. Prerequisite: MECHENG 501 (MECHENG 311 or MECHENG 320). The mechanical engineering field is one of the oldest engineering fields. Computer projects and homework. 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 . Emphasis on the interaction between proper modeling and computation. AEROSP 566 Data Analysis and System Identification. CHE 405 (ENGR 405). (3 credits) (1 credit) Technological applications. Prerequisite: MECHENG 235, MECHENG 335. Assembly representation. Applications selected from various branches of solid and fluid mechanics. Prerequisite: advised Math 216; Math 217 or equivalent recommended. First law, second law, system and control volume analyses; properties and behavior of pure substances; application to thermodynamic systems operating in a … 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. The student will submit a report on the project at the close of the term. Review of experimental results on the statistics and structure of turbulent flows. Derivation of the acoustic wave equation and development of solution techniques. Fundamentals of turbulent flows; the basic equations and the characteristic scales, statistical description of turbulence. The Engineering Advising Center (EAC) provides academic services and support for first year and undeclared students. Differential optimization theory and selected numerical algorithms for continuous nonlinear models. Mission Statement; Undergraduate; Sequential Undergraduate/Graduate Study (SUGS) Graduate; Naval Architecture and Marine Engineering Courses; Contacts; Nuclear Engineering and Radiological Sciences. Emphasis on analytical and graphical descriptions of state-determined systems using Bond Graph language. Of bars, beams, membranes, plates multi-body dynamics problems that arise in aerospace and mechanical properties the. Of study lead to a Bachelor of Science and engineering ; students and practitioners ; Instructional innovation change... And presents poster at ME Undergraduate Symposium. ; AEROSP 550 ( CEE 571 ) ( EECS 560 ) EECS. 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