(8 credits); (4 credits) For outstanding contributions to hydrodynamics research, Professor Steve Ceccio has been recognized by ASME. 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. Material properties, including physical, mechanical, thermal, electrical, economic, corrosion and environmental properties. AEROSP 566 Data Analysis and System Identification. Chain reactions, ignition, quenching and flammability limits, detonations, deflagrations and flame stability. Prerequisite: MECHENG 440. Stability and bifurcation theory for autonomous and periodically forced systems. Independent t-test and paired t-test. (Course Profile), Prerequisite: Chem 130 & 125 or Chem 210 & 211, and (Math 116 or Math 121 or Math 156.) Graded S-U. (Course Profile), Prerequisite: senior or graduate standing. Projects are proposed from the different areas of study within mechanical engineering and reflect the expertise … Topics will include fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. 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. Basic integrated circuit (IC) manufacturing processes; electronics devices fundamentals; microelectromechanical systems fabrications including surface micromachining, bulk micromachining, LIGA and others. (3 credits) Stress field of edge and screw dislocations, dislocation interactions, and cross slip. Prerequisite: MECHENG 320 or equivalent background in fluid mechanics and heat transfer. Computer projects and homework. (3-4 credits) Prerequisite: MECHENG 505 or CEE 510, (NAVARCH 512). (Course Profile), Prerequisite: MECHENG 235. New Mechanical Engineering Faculty Openings. (3 credits) 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. Surface roughness effects. (4 credits) Proficiency in the fundamental understanding of materials processing techniques. Prerequisite: Physics 140 & 141, and (Math 116 or Math 121 or 156.) Electromagnetic, optical and quantum aspects of radiative equilibrium. Design strategies for power systems are described, in the context of growing global demand for power and energy. (3 credits) Analysis using interactive computer simulation programs. Prerequisite: MECHENG 520. Three hours lecture and two hours laboratory. Ann Arbor MI 48109, Phone: (734) 764-2694 Non-traditional machining. Introduction to linear feedback control techniques. 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. email@example.com. Globalization and manufacturing paradigms. The Michigan Engineering Course Guide & Bulletin is our definitive source for the College’s academic offerings and requirements. Synthesis and analysis by analytical and computer methods. Design/manufacturing project. Minimum grade of "C" required for enforced prerequisite. (3 credits) The Department of Mechanical and Industrial Engineering degree requirements are outlined below. (3 credits) The global integrated enterprise. 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. 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. (3 credits) Study of thermodynamics, combustion, heat transfer, friction and other factors affecting engine power, efficiency and emissions. Approximate techniques for nonlinear stochastic response. 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. 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. Z-transforms and state variable descriptions of discrete-time systems. Prerequisite: MECHENG 311 or MECHENG 412, or MECHENG 511 or equivalent. Prerequisite: graduate standing and seniors by PI. The student will submit a final report. Integration of economic indicators with life cycle environmental and social metrics for evaluating technology systems. Modeling of processes, microstructure and mechanical properties of processed materials. Eigenvalue and boundary value problems. (4 credits) Solution methods for model equations and the Euler and the Navier-Stokes equations. (3 credits) Design projects. AEROSP 540 (MECHENG 540). Dynamics of constrained dynamical systems. Galerkin and Papcovich-Neuber solutions, singular solutions, spherical harmonics. Describes the core methods used to simulate matter at the atomic scale. Emphasis is placed on report writing and team-building skills. Concept of statistical process control (SPC). Correlation. Analysis and design using root locus, frequency response and state space techniques. (Course Profile), Prerequisite: MECHENG 350, MECHENG 360, and either MECHENG 395 or AEROSP 305. CHE 405 (ENGR 405). (1 credit) Topics: paradigms of manufacturing; building blocks of manufacturing systems; numerical control and robotics; task allocation and line balancing; system configurations, performance of manufacturing systems including quality, productivity, and responsiveness; economic models and optimization of manufacturing systems; launch and reconfiguration of manufacturing systems; Lean manufacturing. Transport phenomena. Applications of these methods are illustrated in hands-on laboratories involving research-caliber simulation tools. Temperatures of the tool and workplace. Linear quadratic optimal control and state estimation. 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. Prerequisite: senior or graduate standing. Quantum, molecular dynamics and Boltzmann transport treatments are used, along with applications (e.g., thermoelectrics, photovoltaics, laser cooling, phonon recycling, size effects). Introduction to statistical methods for evaluating thermodynamic and transport properties. Applications to the control and design of dynamic systems such as robots, machine tools and artificial limbs. Applications to computational fluid mechanics. (3 credits) Assembly sequence. (Course Profile), Prerequisite: MECHENG 311. Students work in team design projects from concept generation to prototyping and design verification. (to be arranged) Type synthesis — creative design of mechanisms; graph theory. Analysis of discrete- and continuous -time linear stochastic processes with primary application to engineering dynamics. Prerequisite: MECHENG 311 or MECHENG 350. Newton/Euler and Lagrangian formulations for three-dimensional motion of particles and rigid bodies. Hertzian elastic contact; elastic-plastic behavior under repeated loading; shakedown. Design projects. Brown Laboratory Prerequisite: 382 or equivalent. Steve Skerlos (Mechanical Engineering, College of Engineering), discovered that his graduate students, even those who were quite successful in his classes, were not retaining what they had learned in class in a way that they could apply that knowledge to research questions. Taguchi methods. MECHENG 649 – Random Vibrations. Product design using advanced polymeric materials and composites; part consolidation, snap-fit assemblies; novel applications. Perturbation theory for the eigenvalue problem. 4 6-9 credits of electives, depending on the number of cognate courses completed, Introduction to the challenges of power generation for a global society using the thermodynamics to understand basic principles and technology limitations. (Course Profile), Prerequisite: MECHENG 350. (4 credits) Prerequisite: candidate status in the mechanical sciences. (Course Profile), Prerequisite: MECHENG 336, preceded or accompanied by MECHENG 320. (3 credits) (3 credits) (3 credits) Sound in ducts and enclosures. Regression analysis. Prerequisite: MECHENG 360; preceded or accompanied by MECHENG 461. Response model building. Four credit-hour election requires prototyping of project. (3 credits) Methodology for materials selection and optimization, including performance indices, multiple constraints and multiple objectives. Tolerance. Prerequisite: senior or graduate standing. For undergraduates only. Theoretical and computational aspects of finite element methods. Hands-on labs and industrial case studies are used to re-enforce the course material. Analysis of dynamic system models, including time and frequency responses. The structure of one-dimensional diffusion and premixed flames; introduction to activation energy asymptotics. Emphasis on structure function relationships. Mission Statement; Undergraduate; Sequential Undergraduate/Graduate Study (SUGS) Graduate; Naval Architecture and Marine Engineering Courses; Contacts; Nuclear Engineering and Radiological Sciences. Review of the fundamental concepts and current work in nonlinear theory of hydrodynamic stability. Prerequisite: MECHENG 424, (BIOMEDE 424). 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 and vapor/liquid flows; kinematics and acoustics of bubbly flows; instabilities and shock waves in bubbly flows; stratified, annular and granular flow. Prerequisite: permission of instructor (to be arranged) PI for all others. 2350 Hayward Definition of biological tissue and orthopedic device mechanics including elastic, viscoelastic and non-linear elastic behavior. Prerequisite: one 400-level MFG or DES or BUS class. Case studies (heat treatment; welding; polymer extrusion and molding; various metal casting processes; crystal growth). (3 credits) Stress, strain and displacement, equilibrium and compatibility. Introductory quantum mechanics recommended, but not required. Minimum grade of "C" required for enforced prerequisites. Linear free and forced responses of one and two degree of freedom systems and simple continuous systems. Physical and mathematical foundations of computational fluid mechanics with emphasis on applications. Emphasis on analytical and graphical descriptions of state-determined systems using Bond Graph language. Spectral methods for free and forced vibrations. Robust design. Conduction of heat and electricity across interfaces. Minimum grade of "C" required for enforced prerequisites. Study of thermodynamics, fluid flow, combustion, heat transfer and other factors affecting the design, operating and emissions characteristics of different engine types. MSE621 Nuclear Waste Forms MSE622 Ion Beam Modification and Analysis of Materials MSE690 Research Problems in Materials Science and Engineering (3 credits) Use of software for synthesis and analysis. Engineers are problem-solvers. (Course Profile), Prerequisite: (Math 215 or Math 255), MECHENG 235, and MECHENG 240. A Preeminent Institution. (3 credits) Aerospace Information Systems; AEROSP 573. Program development and modification are expected as well as learning the use of existing codes. Computer assignments. (3 credits) Prerequisite: ME 461 or equivalent. Automotive and other applications considered. The Engineering Advising Center (EAC) provides academic services and support for first year and undeclared students. (3 credits) 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). (Course Profile), Prerequisite: MECHENG 211, Math 216. Selected topics pertinent to mechanical engineering. Minimum grade of "C" required for enforced prerequisites. (3 credits) (Course Profile), Prerequisite: MECHENG 211, MECHENG 240, MECHENG 250. Motion planning including obstacle avoidance is also covered. Transmission and reflection from solids, plates and impedance boundaries. Computer simulations and discussion of experimental measurement techniques. 400 Level Courses. Principles of dynamics applied to various rigid-body and multi-body dynamics problems that arise in aerospace and mechanical engineering. Quantization and other nonlinearities. Advised Prerequisite: MECHENG 360 or equivalent. Product-process-business integration. 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. Topics may be chosen from any of the areas of mechanical engineering. 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 … 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. Research Areas: Diversity, Equity and Inclusion; Students and practitioners; Instructional innovation and change. (3 credits) Small oscillation theory. Emphasis is on application. Gas radiation including boundary affected thin gas and thick gas approximations. (Course Profile), Prerequisite: MECHENG 211, MECHENG 240, Math 216. Boundedness and monotonicity analysis of models. (3 credits) (Course Profile), Prerequisite: MECHENG 240. Derivation of the acoustic wave equation and development of solution techniques. Introduction to engineering thermodynamics. Averaged and spectral properties. Tolerance synthesis. A mechanical engineering design project by which the student is exposed to the design process from concept through analysis to layout and report. Process monitoring. Prerequisite: MECHENG 501 (MECHENG 311 or MECHENG 320). Dynamics of muscle and tendon, models of muscle contraction. Fundamentals of discrete optimization for engineering design problems. Linear differential and difference equations. Brown Laboratory (3 credits) 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. (3 credits) Theoretical principles and practical techniques for controlling mechatronic systems are taught in the context of advanced manufacturing applications. Mathematical analysis of mass customization. (3 credits) An introduction to the theory of hydrodynamic stability with applications to stability of thermal flows, rotating and curved flows, wallbounded and free shear flows. Modes of vibration of bars, beams, membranes, plates. Interaction of function, shape, choice of materials, processing, economics and environmental impact in design. Prerequisite: Math 454. (3 credits) (3 credits) Minimum grade of "C" required for enforced prerequisites. Advised Prerequisite: IOE 366 or MECHENG 401. MATSCIE 693 – Special Topics in Materials Science and Engineering. Prof. Shorya Awtar, Mechanical Engineering GG Brown 2268 firstname.lastname@example.org 734‐615‐0285 Teaching Assistant (GSI) Karim Hamza, Mechanical Engineering EECS 3007 email@example.com 734‐730‐3047 Course Description ‘Mechatronic Systems Design’ is the synergistic integration of mechanical … (3 credits) Case studies. (3 credits) Recent developments in finite element methods; mixed, hybrid, mixed-hybrid, reduced integration penalty, singular, boundary integral elements. This course focuses on the dynamics and control of road vehicles. Euler's equations. Conservation equations for reacting gas mixtures. Linear Systems Theory; AEROSP 551 (EECS 562). Prerequisite: Graduate School authorization for admission as a doctoral candidate. Joint force analysis and dynamic analysis formulations. Topics will include controls, heat transfer, fluid mechanics, thermodynamics, mechanics, materials and dynamical systems. Dynamic loading. Chaos and strange attractors. (Students should work on project approximately 10 hours/week for 3 credits. Measurement system analysis. Dual Degree 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. Analytical synthesis of programmable and compliant mechanisms. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment. Two-dimensional Burke-Schumann flames and boundary layer combustion. (3 credits) Variational methods of approximation: Bubnov-Galerkin. Elastic and plastic stress-strain relations; yield criteria and flow rules; analyses of various plastic forming operations. (3 credits) Application of lasers in materials processing and manufacturing. Axisymmetric torsion. Tolerance analysis. Application of asymptotic methods to fluid mechanics, with special emphasis on the method of matched expansions. A topic in mechanical engineering under the direction of a member of the department. Process capability study. Prerequisite: MECHENG 320. Examples from areas of thermal diffusion, potential/irrotational flows, lubrication, structural mechanics, design of machine components, linear elasticity and Navier-Stokes flows problems. I hope this message finds you safe and well. (Course Profile), Prerequisite: MECHENG 382. System-theoretic concepts: causality, controllability, observability, realizations, canonical decomposition, stability. Green's functions; boundary element and finite element methods. Fundamental concepts of laser/material interaction. Prerequisite: MECHENG 211, Math 450. Materials Science and Engineering Courses; Mechanical Engineering Courses; Military Officer Education Program; Naval Architecture and Marine Engineering Courses; Nuclear Engineering and Radiological Sciences Courses; Robotics Courses; Technical Communications Courses; UARTS Courses; Academic Rules. Emphasis on the methodology for developing elements by using calculus of variations. (Course Profile), Prerequisite: Math 216 or Physics 240. (Course Profile), Prerequisite: MECHENG 320. (3 credits) If you would like to receive tutoring beyond that date, you will need to reach out to tutors individually for availability. 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. Given below is a sample of relevant courses recently offered through engineering departments. (3 credits) The courses in this list do not require background knowledge in any specific domain, such as mechanics, combustion, or aerospace. (3 credits) (3 credits) Graduate education at the University of Michigan is a shared enterprise. Dynamics of rotating systems. Sampling and data reconstruction. Prerequisite: graduate standing; permission of the instructor who will guide the work; mandatory satisfactory/unsatisfactory. Response of multi-degree of freedom systems. Design projects. Major emphasis is placed on the analytical and experimental determination of stresses in relationship to the fatigue strength properties of machine and structural components. 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. Also considered are deflection, post-yield behavior, residual stresses, temperature and corrosion effects. Thermoelasticity. A unified approach to the modeling, analysis and simulation of energetic dynamic systems. Student(s) work under the direction of mechanical engineering faculty. Prerequisite: MECHENG 520. Energy and power densities previously unattainable in environmentally-friendly energy technologies have been achieved through use of novel materials. The general theory of a continuous medium. Cutting tools and tool wear mechanisms. Add “top ranked” to your resume with a graduate degree from the nation’s number one public research institution. Prerequisite: MECHENG 360 or graduate standing. Lithium metal solid-state batteries can provide a safer, more powerful alternative to the current standard. Prerequisite: MECHENG 595; mandatory satisfactory/unsatisfactory. Reconfigurable machines. (3 credits) 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. Many of these courses are cross-listed between U-M’s various schools. (3/6 credits) Vibration of multi-degree-of-freedom systems. Prerequisite: graduate standing or permission of instructor (3 credits) It is also one of the broadest in scope, for it is not restricted to any particular technology or particular device. Prerequisite: MECHENG 211. 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. Open-ended design project. (3 credits) (3 credits) Advised Co-requisite: MECHENG 461 or equivalent. Case studies: sustainable design of consumer products, manufacturing and infrastructure systems. So, it cannot be transferred as IOE credit. Students will have the opportunity to develop a program to implement the methods to simulate nanostructure evolution. Minimum grade of "C" required for enforced prerequisites. Prerequisite: MECHENG 461 or equivalent. It will also cover design, modeling and manufacturing issues involved in integrating smart materials and components with control capabilities to engineering smart structures. Prerequisite: MECHENG 335. Not open to graduate students. Four hours of lecture per week. 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. 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. On average, U-M graduates with a master’s degree in an engineering field can earn 15-25% more than those with a bachelor’s degree in engineering. (3 credits) Thermodynamics I (ME235) Introduction to engineering thermodynamics. Definitions and scope of thermodynamics; first and second laws. (Course Profile), Prerequisite: MECHENG 382. Time and frequency domain mathematical techniques for linear system vibrations. (3 credits) Basics of mechanical design: visual thinking, engineering drawing and machine anatomy. Human factor considerations such as driver interfaces. Technological applications. Equations of motion of discrete non-conservative systems. Examples from manufacturing, quality control, ergonomics, inventory and management. Laser principles and optics. Courses, by research area Autonomous Systems and Control Fundamental courses. Prerequisite: MECHENG 438 and MECHENG 461 or equivalent is recommended. Prerequisite: MECHENG 311. I’m especially interested in adding the “human in the loop” and studying how humans interact w ith these robotic systems. Prerequisite: senior or graduate standing. (3 credits) (3 credits) Introduction to structural-acoustic coupling. Official tutoring will end on Tuesday, December 8th. 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. 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