Courses
The listing of a course description here does not guarantee a course’s being offered in a particular semester. Please refer to the published schedule of classes on the Student Link for confirmation a class is actually being taught and for specific course meeting dates and times.
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ENG ME 713: Viscous Flow
Brief review of the fundamental conservation and constitutive equations, exact solutions of the viscous Navier-Stokes equations, similarity solutions, boundary layer theory; creeping flows, flow in Hele-Shaw cells, lubrication theory, thin shear layer approximations, jets and wakes, hydrodynamic instability and transition to turbulence, Reynolds-averaged Navier-Stokes equations. -
ENG ME 714: Advanced Stochastic Modeling and Simulation
Introduction to Markov chains, point processes, diffusion processes as models of stochastic systems of practical interest. The course focuses on numerical and simulation methods for performance evaluation, optimization, and control of such systems. Meets with ENGSE714. Students may not receive credit for both. -
ENG ME 720: Acoustics II
Wave equation in cylindrical and spherical co-ordinate systems. Propagation in waveguides. Diffraction: the Rayleigh integral and the Helmholtz-Kirchhoff integral. Green's function and angular spectrum methods. Diffraction of sound beams: Guassian beams, unfocused and focused sources, and arrays. Diffraction by apertures, discs and wedges. Scattering of sound; Rayleigh scattering, scattering cross-section, elastic scatters. Propagation in inhomogeneous media: rays, the eikonal equation, the Blokhintzev invariant and the acoustic field near caustics. Absorption and dispersion of acoustic waves. Transmission and reflection at a fluid-solid interface. -
ENG ME 721: Acoustic Bubble Dynamics
Bubbles and acoustic cavitation play an important role in many aspects of application of sonic and ultrasonic energy in fluids and biological tissue. This course will introduce the study of bubble phenomena in sound fields. The fundamental physical acoustics of bubbles (and the fundamental physics which can be illustrated by the study of bubble dynamics) will be stressed. The family of Rayleigh-Plesset equations for time-dependent bubble behavior will be derived from the Navier-Stokes equations. Analytical approximations to the Rayleigh-Plesset equations in limiting cases will be derived and studied. Approximations to the thermodynamic behavior of oscillating bubbles will be considered in detail. Thermal, acoustic and viscous contributions to dissipation will be treated. Numerical solutions will also be studied, specifically in the context of highly nonlinear behavior during acoustically-forced oscillations. Specific experiments, and experimental techniques for measuring bubble dynamics will be studied in detail. Topics covered will contrast agent microbubbles, acoustics of bubbly liquids, bubble-mediated bioeffects, shape instabilities, acoustic levitation, sonoluminescence, heat and mass transfer during bubble oscillations, sonochemistry and cavitation detection and monitoring. -
ENG ME 724: Advanced Optimization Theory and Methods
Complements ENGEC524 by introducing advanced optimization techniques. Emphasis on nonlinear optimization and recent developments in the field. Topics include: unconstrained optimization methods such as gradient and incremental gradient, conjugate direction, Newton and quasi-Newton methods; constrained optimization methods such as projection, feasible directions, barrier and interior point methods; duality; and stochastic approximation algorithms. Introduction to modern convex optimization including semi-definite programming, conic programming, and robust optimization. Applications drawn from control, production and capacity planning, resource allocation, communication and sensor networks, and bioinformatics. Meets with ENGEC724 and ENGSE724. Students may not receive credit for both. -
ENG ME 725: Queueing Systems
Performance modeling using queueing networks, analysis of product form and non-product form networks, numerical methods for performance evaluation, approximate models of queueing systems, optimal design and control of queueing networks. Applications from manufacturing systems, computer systems and communication networks. Meets with ENGEC725 and ENGSE725. Students may not receive credit for both. -
ENG ME 726: Fundamentals of Biomaterials
Provides the chemistry and engineering skills needed to solve challenges in the biomaterials and tissue engineering area, concentrating on the fundamental principles in biomedical engineering, material science, and chemistry. Covers the structure and properties of hard materials (ceramics and metals) and soft materials (polymers and hydro-gels). Same as ENG BE 726 and ENG MS 726. Students may not receive credit for both. -
ENG ME 727: Principles and Applications of Tissues
Provides the chemistry and engineering skills needed to solve challenges in the biomaterials and tissue engineering area, concentrating on cell-biomaterial interactions, soft tissue mechanics and specific research topics. Students will write a NIH-style grant proposal on a specific research topic. Note that the laboratory portion is not offered in ENG ME 727. Same as ENG BE 727/ENG MS 727. Students may not receive credit for both. -
ENG ME 733: Discrete Event and Hybrid Systems
Review of system theory fundamentals distinguishing between time-driven and event-driven dynamics. Modeling of Discrete Event and Hybrid Systems; Automata, Hybrid Automata, Petri Nets, basic queueing models, and stochastic flow models. Monte Carlo computer simulation: basic structure and output analysis. Analysis, control, and optimization techniques based on Markov Decision Process theory with applications to scheduling, resource allocation, and games of chance. Perturbation Analysis and Rapid Learning methods with applications to communication networks, manufacturing systems, and command-control. Meets with ENGEC733 and ENGSE733. Students may not receive credit for both. -
ENG ME 734: Hybrid Systems
The course offers a detailed introduction to hybrid systems, which are dynamical systems combining continuous dynamics (modeled by differential equations) with discrete dynamics (modeled by automata). The covered topics include modeling, simulation, stability analysis, verification, and control of such systems. The course contains several applications from both natural and manmade environments, ranging from gene networks in biology, to networked embedded systems in avionics and automotive controls, and to motion planning and control in robotics. Same as ENG ME 734 and ENG SE 734. Students may receive credit for one. -
ENG ME 740: Vision, Robotics, and Planning
Methodologies required for constructing and operating intelligent mechanisms. Comprehensive introduction to robot kinematics for motion planning. Dynamics and control of mechanical systems. Formal treatment of differential relationships for understanding the control of forces and torques at the end effector. Discussion of robot vision and sensing and advanced topics in robot mechanics, including elastic effects and kinematic redundancy. Meets with ENGSE740. Students may not receive credit for both. -
ENG ME 762: Nonlinear Systems and Control
Introduction to the theory and design methods of non-linear control systems. Application to robotics, vibration and noise control, fluid control, manufacturing processes, and biomedical systems. Mathematical methods based on the theory of differentiable manifolds; non-linear control techniques include feedback linearization, back-stepping, forwarding, and sliding mode control. Additional course topics will include controllability and observability, Lyapunov stability and its applications, limit cycles, input-output stability, zero dynamics, center manifold theory, perturbation theory, and averaging. -
ENG ME 765: Production Systems Design
Theory and applications related to the design of complex production systems. Simulation theory, stochastic modeling and control, and mathematical decomposition techniques are developed and applied hierarchically to combine production statistics estimation, operations protocol design, and capacity selections in an integrated design of complex manufacturing systems. Meets with ENGSE765. Students may nor receive credit for both. -
ENG ME 766: Advanced Scheduling Models and Methods
Emphasizes basic methodological tools and recent advances for the solution of scheduling problems in both deterministic and stochastic settings. Models considered include classical scheduling models, DEDS, neural nets, queueing models, flow control models, and linear programming models. Methods of control and analysis include optimal control, dynamic programming, fuzzy control, adaptive control, hierarchical control, genetic algorithms, simulated annealing, Lagrangian relaxation, and heavy traffic approximations. Examples and case studies focus on applications from manufacturing systems, computer and communication networks, and transportation systems. Meets with ENGSE766. Students may not receive credit for both. -
ENG ME 778: Micromachined Tranducers
The field of micro-electromechanical devices and systems (MEMS) has been growing at an exciting pace in recent years. The interdisciplinary nature of both micro-machining techniques and their applications can and does lead to exciting synergies. This course will explore the world of mostly silicon-based micro-machined transducers, i.e., micro-sensors and micro-actuators. This requires an awareness of material properties, fabrication technologies, basic structural mechanics, sensing and actuation principles, circuit and system issues, packaging, calibration, and testing. The material will be covered through a combination of lectures, case studies, individual homework assignments, and design projects carried out in teams. -
ENG ME 781: Electroceramics
This course will explore the structure property relationships and phenomena in ceramic materials used in electronic, dielectric, ferroelectric, magnetic, and electrochemical applications. In particular we will discover how to functionalize a component for a particular application - a capacitor, a thermistor, actuator, or a fuel cell. Such a discovery process demands an in- depth understanding of the roles and interrelationships between the crystal structure, defect chemistry, microstructure, and texture in such materials. Statistical thermodynamics, quantum mechanics, and solid mechanics principles will be used as and when necessary in the course. The course is intended to fit in the space and act as a bridge between solid state theory where the emphasis is largely on theory and a ceramic materials course where the emphasis is largely on processing. -
ENG ME 788: Soft Tissue Biomechanics
This course will introduce students to the mechanics of soft biological tissue. In particular, the response of the heart, vasculature, and tissue scaffolds to mechanical loads from the perspective of nonlinear solid mechanics will be studied. Constitutive models for hyperelastic materials will be adapted to biomaterials to handle mechanical characteristics such as nonlinearity, viscoelasticity, and orthotropy. Basic experimental methods, and anatomy and physiology of particular tissue types will also be introduced. Emphasis is placed on integrating the basic analytical, experimental, and computational methods for a more complete understanding of the underlying mechanobiology. Meets with ENG BE788. Students may not receive credit for both. -
ENG ME 801: Teaching Practicum I
PhD Requirement. Assist faculty by performing teaching or teaching-related duties, such as preparing and teaching labs and discussion sections, developing teaching materials, assisting with homework preparation and grading, proctoring exams, grading exams or papers. -
ENG ME 802: Teaching Practicum II
PhD requirement. Assist faculty by performing teaching or teaching-related duties, such as preparing and teaching labs and discussion sections, developing teaching materials, assisting with homework preparation and grading, proctoring exams, grading exams or papers. -
ENG ME 810: PhD Internship in Mechanical Engineering
This course provides ME PhD students the opportunity tom include a paid internship as part of their professional training. The internship must be related to the student's area of study. International students require CPT authorization. Written summary required. Graded P/F. Prerequisite: Permission of advisor and an approved internship offer; at least two complete semesters in the ME PhD program. Full-time (30-40 hours/week for at least 12 weeks) = 4 credits; part-time (15-20 hours/week for at least 12 weeks) = 2 credits.
