Advanced topics selected for their timeliness and current interest.
3 hr./wk.
3 hr./wk.
3 hr./wk.
3 hr./wk.
3 hr./wk.
Recent developments in mechanical engineering and related fields; economic and social effects. The students report on assigned subjects.
Departmental approval.
This course will introduce PhD students into developing skills and knowledge in research tools and methods, safety and ethics in research, technical research writing, professional communications and critical thinking. The students will be required to apprentice in various research laboratories in the department, familiarize themselves with the ongoing research and write reports with critical view of the research topics.
Enrollment in Mechanical Engineering PhD program.
3 hr./wk.
This course presents the fundamentals of fluid mechanics with a balance between, physics, mathematics and applications. It includes application of conservation laws in control volumes with moving boundaries in tensor notation, high medium and low Reynolds number flows, momentum integrals in boundary layers, jets and wakes. Also described adiabatic frictional flows, flows with heat addition and energy related issues. Final project.
Undergraduate fluid mechanics
ME 35600 or equivalent with departmental approval, symbolic language Matlab.
3 hr./wk.
Equilibrium and energy based formulations of the finite element method. Review of the direct stiffness method. Truss, beam, plane and three dimensional element formulations, including isoparametric elements. Static and transient response of structures with applications in solid mechanics. Students are expected to use the available workstations to complete a project.
Departmental permission.
None
3 hr./wk.
Classification of modern turbomachines. Concepts in applied thermo-fluid mechanics. Similarity in design; wind tunnels and cascade of aerofoils; loss mechanisms; radial equilibrium theory; performance prediction; erosion and high temperature problems; instrumentation.
3 hr./wk.
Conservation equations for mass, momentum and energy. Conduction with energy generation, transpiration cooling, and phase transformation. Boundary layer approximations. Laminar heat transfer from flat plates and tubes. Heat transfer in free convection. Turbulent flow heat transfer.
Students are required to have previous knowledge of
ME 43300 or ChE 34200 or equivalent and
ENGR I1100 or equivalent.
3 hr./wk.
Linear elastic theory of solid mechanics. Includes concepts of stress and strain, governing equations of linear elastic theory, setup of boundary value problem, and two dimensional examples. Stress analysis of structural members. Includes failure criteria of materials, yielding, fracture and fatigue; Prandtle Torsion theory, torsion of thin walled structure; Bending of asymmetric beams and curved beam; and Energy methods for structural members and general solids.
Mechanics of Materials
ME 33000 or equivalent with departmental permission.
3 hr./wk.
Nano/Micromechanics encompass mechanics related to nano- and micro-structures of materials. In this course, the introduction to nano-scale science will be given first. Then the existing methods used to study nanomechanics of materials and the current research status on nanomechanics will be presented. In contrast to nanomechanics, micromechanics theory has been better developed. Green's function and Eshelby's solution of an ellipsoidal inclusion will be introduced first. Then the variety methods including self-consistent method, generalized self-consistent scheme, Mori-Tanaka's method, and differential scheme will be studied. Finally, a hierarchical approach from nano- to micro- to meso- to macro-scale will be discussed.
Undergraduate mechanics of materials
ME 33000 or equivalent with departmental permission; symbolic language Matlab.
3 hr./wk.
A survey course covering several topics in solid mechanics and mechanical behavior of materials. Combines the experimental observations, underlying physical mechanisms and mathematical models. The measurable mechanical properties are discussed in the content of specific mechanics models. The topics include elastic deformation and stress, thermal stress, vibration, wave propagation, plasticity, fracture, fatigue, and linear viscoelasticity.
Mechanics of Materials
ME 33000 or equivalent with departmental permission.
3 hr./wk.
Governing equation and models of fluid flow and heat transfer; basic numerical techniques for solution; estimation of accuracy and stability of the numerical approximations; boundary conditions; grid generation; structure and performance of commercial software for applications in analysis and design of thermo-fluid systems; Final project.
Undergraduate fluid mechanics
ME 35600 or equivalent with departmental permission; Introduction to Numerical Method I1500.
3 hr./wk.
In this course, we first discuss the equilibrium properties of crystals such as permittivity, piezoelectricity, elasticity etc. The essential mathematical formula such as tensor and matrix notations will be used to describe the fundamental physical properties of materials. The focus of the course is to introduce the students with a broader view on all physical properties of materials including mechanical, electric, thermal and magnetic properties and their coupling behaviors based on the structure and symmetry of the material. Also the transport properties will be introduced at the end of the class. Some basic principles of transport phenomena and irreversible thermodynamics will be briefly introduced. Hopefully this course will provide the essential mathematical framework for the constitutive relations of the material.
Under graduate mechanics of materials
ME 33000 & Engineering Materials
ME 46100 or equivalent with departmental permission.
3 hr./wk.
In this course the principles of mechanics and/or biomechanics are used to understand how accidental injuries happen. The topics covered in this course are: biomechanics of human body and injuries including head, spine, abdominal and extremities; injury classification criteria; methods in trauma biomechanics such as: accident reconstruction, experimental and numerical methods; automotive accidental injuries and restrain systems; sport injuries; slip and fall injuries; safety standards; ergonomics and human factor; human body dynamics; and accident prevention. In addition, automotive safety features will be discussed.
Undergraduate
ME 47200 or equivalent,
ME 37100 or equivalent,
ME 33000 or equivalent with departmental permission. Knowledge of CAD/FE software is also required.
3 hr./wk.
In this course, the state-of-the-art and new technologies and design changes in all types of vehicles, and in particular automotive industry, that are geared towards safety issues and injury prevention of occupants will be discussed. Specifically, the topics of the course are: Vehicle body design; crash worthiness of the body; stability of vehicles; restraint system and supplemental restraint systems such as seat belts, pre-tensioner and airbags; crash sensors; seat and interior safety; occupant protection systems; codes and FMVSS standards; NHTSA standards and crash tests; simulation and accident reconstruction; biomechanics of occupant kinematics; brief anatomy; injury classification; and mechanisms of occupant injuries. The students are required to design and analyze a safety feature of a vehicle.
Undergraduate
ME 47200 or equivalent,
ME 37100 or equivalent,
ME 33000 or equivalent with departmental permission. Knowledge of CAD/FE software is also required.
3 hr./wk.
Theory of finite element methods, Iterative solution methods, High-performance computing, Solution of incompressible Navier-Stokes equations (Projection methods, artificial compressibility methods, penalty methods, DAE), Applications in heat and fluid dynamics (in 1D and 2D), Final project.
Computational Fluid Mechanics ME G4600 or equivalent with departmental permission; Introduction to Numerical Method ME I1500.
3 hr./wk.
Theory of viscoelasticity with applications to vibrations and buckling. Introduction to the theory of plasticity Physical basis, yield conditions. Perfectly plastic and strain hardening materials. Druckers's postulates, flow rule. Upper and lower bound theorems. Applications to torsion, indentation and plate theory. Numerical solutions.
Departmental permission.
None.
3 hr./wk.
3 hr./wk.
Kepler's laws. The central force field. Ballistic trajectories. Minimum energy orbital transfer. Earth orbits and orbital parameters. Hohmann transfer. Two body and many body problems. Consideration of translunar trajectories and deep space problems.
3 hr./wk.
In this course we consider the wind resources to extract energy. The aerodynamics of wind turbines are developed based on classical blade momentum theory and on numerical solutions of advanced transport equations. Betz limit is discussed and innovative concepts are described to illustrate principles. Advanced topics are presented including resource assessment, wake, losses and uncertainties. Term project is assigned involving the use of Computational Fluid Dynamics to evaluate wind turbine systems.
Undergraduate fluid mechanics Or equivalent with departmental approval; symbolic language matlab.
3 hr./wk
This course is the first course in Mechanical Vibration and includes developing equations for a single-degree-of-freedom system [SDOF] model based on concepts such as equivalent mass, stiffness and damping. Laplace transform approach is used to obtain response due to initial conditions, sinusoidal forced or base excitation and rotating unbalance. Vibrations under general forcing functions such as periodic inputs and nonperiodic inputs also studied using frequency response function and convolution integral respectively. Above mentioned approaches are modified and used to investigate multi-degree-of-freedom system (MDOF). Modal analysis is introduced to find natural frequencies and mode shapes. As an application of MDOF un-damped and damped vibration absorbers are introduced to reduce resonant vibrations. The use of MATLAB software in vibration analysis is emphasized.
3 hr./wk
Hyperbolic and dispersive, linear and non-linear waves. Hyperbolic waves: the wave equations, stationary waves, breaking waves. Dispersive waves: dispersion relations, group and phase velocities. Non-linear waves and chaos in wave fields. Stress waves in solids (dilation and distortion waves, Rayleigh waves).
Department permission.
None.
3 hr./wk.
Computer aided engineering design methodology; components of hardware, software and the use of commercial CAD systems in mechanical engineering design. Basic concepts of CAD and engineering analysis. Pro-Engineering Analysis Code; Splines and Coon's surfaces; geometric and wire frame modeling techniques. Simulation and modeling of an engineering problem; engineering assumptions. Introduction to finite element methods; mesh generation; simulation of loadings, and boundary conditions. Postprocessing and evaluation of results. Applications of these concepts to specific engineering design projects.
3 hr./wk.
Boundary Integral Equations. Green's functions and influence functions for one, two, and three dimensional problems. BE formulation for Laplacian, Poisson and biharmonic equations. Shape functions. Integration over element. Numerical formulation of the BE. Direct and indirect BE methods. BE solutions to Potential flow, torsion and heat transfer problems. Time dependent problems. Elastostatic, plane and Plate problems. Special Green's functions.
3 hr./wk.
Introduction, definition and classification of composites. Manufacturing, applications and advantages of composites. Macromechanics of a lamina. Anisotropic stress-strain relations. Strength and stiffness. Experimental determination of strength and stiffness properties. Failure theories. Stiffness and strength prediction theories. Classical lamination theory. Symmetric, anti-symmetric and non-symmetric laminates. Failure analysis of laminates. Interlaminar stresses, delamination, joining of composites; adhesively bonded joints. Structural applications.
3 hr./wk.
This course is built around a concrete mechanical system, for example, the pendulum. Definition of dynamical systems, phase space flows and invariant subspaces. Local and global bifurcation theory: Saddle-node, transcritical, pitchfork, and Hopf bifurcations, sability of homoclinic orbits, center manifolds and normal forms. Chaos: fractal geometry and dimension, Lyapunov exponents, routes to chaos (period doubling, quasi-periodicity, intemittency), spatio-temporal chaos.
3 hr./wk.
Introduction to fundamental concepts of experimentation: Error analysis, accuracy and precision. Analog to digital conversion. Sampling considerations. Data reduction. Time series analysis. Dynamical processes, Spectral and correlation functions. Probability and statistical variance. Engineering use of statistical averages. Frequency response and spatial resolution. Flow visualization techniques. Image processing. Particle Image Velocimetry. Laser Doppler and hot wire anemometry. Laser diagnostics in combustion. Spectroscopy and chromatography. Mie and Raman scattering. Laboratory demonstrations and hands-on experience with several modern techniques.
3 hr./wk.
In-depth analysis of a specific topic by means of a written report using a number of technical papers, reports or articles as references. Topic to be chosen by student in consultation with a professor.
Completion of 12 credits toward the master's degree in Mechanical Engineering.
Theoretical or experimental project under the supervision of a faculty advisor. Student submits a written proposal, performs the required work, and submits a written final report.
Written departmental approval.
Credits
Variable cr. (Up to 12 cr.)
1 credit repeatable up to 6 credits.
Approval of the departmental Ph.D. advisor.