Topics:

Threedimensional stress analysis (2 periods)

Plane stress and plane strain problems (2 periods)

Stress functions (2 periods)

Failure criteria (2 periods)

Bending of curved beams (2 periods)

Shear stresses (2 periods)

Shear center (2 periods)

Torsion (2 periods)

Thinwalled members (2 periods)

Statically indeterminate problems (2 periods)

Elastic stability (2 periods)

Beams on elastic foundation (2 periods)

Fourier series (2 periods)

Energy methods (2 periods)

Introduction to plates (2 periods)
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences (Engineering Topics)
Prepared by: Dare Afolabi and Jie Chen
Revised: November 14, 2004
Elective Course: ME 551 Finite Element Analysis
Catalog Description: Credit 3. Class 3.
Concepts of finite elements methods; formulations for different engineering problems and their applications. Variational methods, the finite element concept, and applications in stress analysis, dynamics, fluid mechanics, and heat transfer.
Prerequisite: Graduate standing or consent of instructor
Corequisite: None
Textbook: J.N. Reddy, An Introduction to the Finite Element Method, Second Edition, McGrawHill, 1993.
H.U. Akay, Supplementary Notes for ME 551. Available on Oncourse.
Coordinator: Hasan Akay
Goals: To teach students the finite element method and to convey the basic ideas on which the method is founded. The basic principles of the method with applications in several areas are presented in a unified manner so that the students with diverse backgrounds can later apply the method to problems of their individual interests. A multiphysics finite element code, ANSYS is used for applications.
Course Outcomes:
After completion of this course, the students should be able to:

Derive the finite element equations for different boundary and initialboundaryvalue problems [a1, a2]

Use partialdifferential equation concepts, variational principles, and interpolation theories to derive finite element models [a1, a2]

Develop finite element algorithms for steady and transient problems [a1, a2, a4]

Use finite element codes for modeling of problems encountered in various branches of engineering and sciences [a4, k1]

Analyze and evaluate the solution of finite element codes [a1, a2, k1]

Make error analysis and checks to verify accuracy of the finite element solutions [a1, a2]

Code finite element programs with minimum extra training [a1, a2, k1]

Apply the method to problems in their specific field of study a4, k1]
Topics:

Variational formulation of boundary and initial boundary value problems (4 periods)

Finite element formulation and analysis of onedimensional problems (8 periods)

Computer implementation of the finite element method (3 periods)

Finite element formulation and analysis of twodimensional problems with single and multivariables (10 periods)

Computer applications using the finite element computer program ANSYS (3 periods)
Computer Usage: Students use ANSYS for solving some problems.
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences
Prepared by: Hasan Akay
Revised: October 24, 2003
Course: ME 552 Advanced Applications of Finite Element Method
Course Description: Credit 3. Class 3.
Various algorithms for nonlinear and timedependent problems in two and three dimensions. Emphasis on advanced applications with problems chosen from fluid dynamics, heat transfer, and solid mechanics areas. Independent project required.
Prerequisite: ME 551 Finite Element Analysis or equivalent
Corequisites: None
Textbooks: J.N. Reddy, An Introduction to the Finite Element Method, Second Edition, McGrawHill, 1993.
H.U. Akay, Supplementary Notes for ME 551. Available on Oncourse.
Coordinator: Hasan Akay
Goals: To introduce to students several advanced topics which are not covered in sufficient detail in an introductory course. Solution of nonlinear and timedependent problems in twoand threedimensions are studied. Aims at giving the students a chance to investigate practical problems of their interest in detail.
Course Outcomes:
After completion of this course, the students should be able to:

Solve twoand threedimensional advanced problems in stress analysis using the FEM

Solve twoand threedimensional advanced problems in heat transfer using the FEM

Solve twoand threedimensional advanced problems in fluid mechanics using the FEM

Solve nonlinear problems in mechanics using the FEM

Apply the FEM to problems in their specific field of study

Conducted an independent project
Topics:

Review of variational formulation (2 periods)

Review of isoparametric elements of two and three dimensional problems (2 periods)

General field equations: equilibrium problems, eigenvalue problems, timedependent problems, convective equations (4 periods)

Computational aspects: assemblage of equations, solution of linear and nonlinear equations, and code development (4 periods)

Mesh generation techniques (2 periods)

Finite element formulation and solution of:

solid mechanics problems (5 periods)

fluid mechanics problems (5 periods)

heat transfer problems (4 periods)

Applications with the finite element Computer Program ANSYS
Computer Usage: Students may use various finite element computer programs or code their own programs.
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences
Prepared by: Hasan Akay
Revised: October 23, 2003
Elective Course: ME 558 Composite Materials
Catalog Description: Credit 3. Class 3.
Basic concepts of fiber reinforced composites, manufacturing, mechanics and analysis of composite laminates and their application to engineering design are discussed. Students may not receive credit for both ME 458 and ME 558.
Prerequisite: ME 272 Mechanics of Materials
Corequisite: None
Textbook: P.K. Mallick, Fiber Reinforced Composites: Materials, Manufacturing and Design, Second Edition, MarcellDekker, Inc., 1993.
Coordinator: Ramana Pidaparti
Goals: To teach students the basic concepts involved in fiber reinforced composites and their applications in engineering. Students may not receive credit for both this course and ME 458.
Course Outcomes:
After completion of this course, the students should be able to:

Explain the concept of composite materials.

Differentiate metallic versus composite materials.

Compare the mechanical properties of composite materials to the metallic materials.

Predict the composite properties at microlevel.

Explain different manufacturing techniques for composites.

Analyze fiberreinforced composites for stresses and deformations.

Design composite members for stiffness and strength.

Predict failure in composite members.

Work in a group or individual setting and write a report.

Explain the advantages of composites over metals.
Topics:

Introduction: Overview of composite materials (1 period)

Materials: Fibers and Matrix (2 periods)

Mechanics: Lamina, laminated structure (9 periods)

Performance: Static mechanical properties, fatigue and fracture (8 periods)

Manufacturing: Molding, filament winding, poltrusion (4 periods)

Design: Laminate design, applications/examples (6 periods)
Computer Usage: Matlab and Ansys
Evaluation Methods: Homework assignments, quizzes, two midterm exams, one final project report, and one final exam.
Professional Component: Engineering Sciences (Engineering Topics)
Prepared by: Ramana Pidaparti
Revised: October 17, 2003
Elective Course: ME 560 Kinematics
Catalog Description: Credit 3. Class 3.
Geometry of constrainedplane motion with application to linkage design. Type and number synthesis, size synthesis. Path curvature, inflection circle, cubic of stationary curvature. Finite displacements, three and fourseparated positions. Graphical, analytical, and computer techniques.
Prerequisite: ME 372 Mechanical Design II
Corequisite: None
Textbook: A.S. Hall, Jr., Kinematics and Linkage Design, Waveland Press, 1986.
Coordinator: Jie Chen
Goals: The objective of this course is to provide graduate students in mechanical engineering the kinematical tools required for design and analysis of engineering structures and mechanisms.
Course Outcomes:
After completion of this course, the students should be able to:

Perform position and displacement analysis using: Matrix method; Displacement transformation; Screw motion; Coordinate transformation; and HartenbergDenavit Notation.

Perform velocity and acceleration analysis using: Kennedy's theorem; Instantaneous center method for sliding and rolling contact problems; and Parallelline method.

Perform linkage syntheses for: Gross Motions; and Coupler Curves.

Determine pole, polode, pole tangent, pole velocity, and inflection circle of a linkage.

Design linkage using Curvature Theory.

Perform design of 4Bar Mechanism for Coordinated Motions of the Cranks.

Perform linkage syntheses for multiple separated positions.

Analyze openchain mechanisms
Topics:

Introduction to Mechanisms (one week)

Position and Displacement Analysis I: Graphic method, vector loops method, and complex number method (one week)

Position and Displacement Analysis II: Matrix method, displacement, transformation, screw motion, coordinate transformation, and Hartenberg Denavit Notation. (one week)

Velocity and Acceleration Analysis (one week)

Gross Motions in the 4 Bar Mechanism (one week)

Coupler Curves (one week)

Curvature Theory (one week)

Design Synthesis (one week)

Stationary Curvature (one week)

Analytical Design of 4 Bar Mechanism for Coordinated Motions of the Cranks (one week)

Finite Displacements (one week)

Three Separated Positions (one week)

Four Separated Positions (one week)

Open Chain Mechanisms (one week)

Application to Robotics (one week)
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences (Engineering Topics)
Prepared by: Jie Chen
Revised: October 17, 2003
Course: ME 563 Mechanical Vibrations
Catalog Description: Review of systems with one degree of freedom. Lagrange's equations of motion for multipledegreeoffreedom systems. Matrix methods. Transfer functions for harmonic response, impulse response, and step response. Convolution integrals for response to arbitrary inputs. Principal frequencies and modes. Applications to critical speeds, measuring instruments, isolation, torsional systems. Nonlinear problems.
Prerequisites: 1) ME 272 Mechanics of Materials, 2) ME 274 Basic Mechanics II, and 3) ME 340 Dynamic Systems and Measurements, or equivalent.
Corequisite: None
Textbook: S.S. Rao, Mechanical Vibrations, Third Edition, Addison Wesley, 1995.
Coordinator: Ramana Pidaparti
Goals: To teach students a basic knowledge of point mass vibratory systems and vibration of elastic bodies. Students may not receive credit for both this course and ME 474.
Course Outcomes:
After completion of this course, the students should be able to:

Explain the concept of modes of vibration, and the difference between single, two and multidegreeoffreedom vibrating systems [a4]

Formulate the equation of motion of an undamped, single degreeoffreedom vibration system using both energy methods and Newton's laws of motion [a4]

Explain the difference between free and forced vibration [a1]

Formulate the equations of motion of vibrating systems with viscous damping and hysteretic damping [a4]

Explain the effect of damping on vibration response both in the time domain and in the frequency domain [a4]

Derive the equations of motion of lumped parameter, multidegreeoffreedom systems using matrix methods [a2, a4, k4]

Apply Lagrange's equation to derive equations of motion of simple vibrating systems, with single or multidegree of freedom [e, k4]

Obtain estimates for the lowest natural frequencies of continuous systems using Rayleigh's principle [a2]
Note: The letters within the brackets indicate the program outcomes of mechanical engineering
Topics:

Free vibration of a single degree freedom of undamped and damped systems of a mass and a spring, torsional vibration of a single degree freedom (5 periods)

Single degree of freedom of forced vibration of spring mass system, forced torsional vibrations, whirling of rotating shafts (4 periods)

Vibration of system with Coulomb damping (2 periods)

Two degrees of freedom of free vibration without damping (2 periods)

Two degrees of freedom of forced vibration without damping (2 periods)

Introduction to Rayleigh principle for an approximate determination of natural frequency (2 periods)

Introduction to vibration of elastic bodies such as rods, torsional members, beams, membranes (4 periods)

Transient vibration (3 periods)

Energy technique, an introduction to Langrange's equations (3 periods)

Experimental Model Analysis (2 periods)
Computer Usage: Matlab
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences (Engineering Topics)
Prepared by: Dare Afolabi and Ramana Pidaparti
Revised: November 15, 2004
Elective Course: ME 569 Mechanical Behavior of Materials
Catalog Description: Credit 3. Class 3.
How loading and environmental conditions can influence the behavior of materials in service. Elastic and plastic behavior, fracture, fatigue, low and hightemperature behavior. Introduction to fracture mechanics. Emphasis is on methods of treating these conditions in design.
Prerequisite: ME 344 Introduction to Engineering Materials or equivalent
Corequisite: None
Textbooks: N.E. Dowling, Mechanical Behavior of Materials, Prentice Hall, 1993.
T.H. Courtney, Mechanical Behavior of Materials, McGraw Hill, 1990.
Coordinator: Ramana Pidparti
Goals: To develop methods for characterization of the mechanical behavior of materials. Elastic and plastic behavior, fracture fatigue, environmental effects and composites will be discussed. The mechanical engineer can select the best material for a particular application from a better understanding of the material behavior.
Course Outcomes
After completion of this course, the students should be able to:

Explain the concepts of elastic, plastic, fatigue, fracture and creep behavior of materials.

Solve basic problems of finding stresses under various loading conditions.

Explain the plane strain, plane stress and 3D stress state concepts, and evaluate the principal stresses and strains.

Explain various failure theories for brittle and ductile materials and evaluate the conditions for failure.

Explain various defects in materials and the factors affecting the mechanical and failure behavior.

Use the concept of linear elastic fracture mechanics, and estimate the effect of cracks in materials and structures.

Explain the concept of fracture toughness, evaluate its value from experiments, and its use in engineering design.

Explain the concepts of stress based fatigue, strain based fatigue, and fatigue crackgrowth.

Evaluate fatigue life for materials using various methods.

Predict the fatigue failure properties of structures and materials.

Explain creep and stress rupture concepts for materials.

Select a material for specific design application given the loading environment.
Topics:

Overview of mechanical behavior (2 periods)

Elastic behavior (2 periods)

Plastic behavior (3 periods)

Dislocations (2 periods)

Fracture mechanics (8 periods)

Fatigue and crackgrowth behavior (8 periods)

Composite material behavior (3 periods)

Creep and stress rupture behavior (2 periods)
Computer Usage: Matlab and Ansys
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences
Prepared by: Ramana Pidaparti
Revised: July 19, 2003
Elective Course: ME 572 Analysis and Design of Robotic Manipulators
Catalog Description: Credit 3. Class 3.
Introduction to the analysis and design of robotic manipulators. Topics include kinematic configurations, forward and inverse position solution, velocity and acceleration, path planning, offline programming, force and torque solutions, rigid body dynamics, motors and actuators, robot design, sensors, and controls, computer simulation and graphical animation.
Prerequisites: ME 482 Control Systems Analysis and Design or equivalent, and 2) any highlevel programming language
Corequisite: None
Textbooks: S. Niku, Introduction to Robotics: Analysis, Systems, Applications, Prentice Hall, 2001.
Coordinator: Yaobin Chen
Goals: To teach students the essential concepts necessary for understanding robots and their effective use in the industrial environment. Students may not receive credit for both this course and corresponding ME 497.
Course Outcomes:
After completion of this course, the students should be able to:

Know the current state of robotics and its applications and impact in our societies.

Understand the spatial coordinate transformation and an ability to define the coordinates and the corresponding kinematic parameters for robotic manipulators.

Solve forward and inverse kinematic equations. [a, e]

Analyze robotic motion using the concepts of Jacobian matrix. [a, e]

Understanding of robot dynamic modeling and an ability to derive dynamic model using Lagrange's equations of motion.

Design robot motion trajectories to meet the design specifications and requirements. [a, c, e, k]

Analyze and design robot control systems using classical control design methods.

Know advanced robot control techniques such as adaptive control, optimal trajectory planning and control, computed torque, etc.

Evaluate and test system performance using computeraided tools. [a, c, e ,k]

An ability to program industrial robots to perform prespecified tasks.
Topics:

Introduction: robotics and automation, mechatronics, and applications

Fundamentals of robot technology

Kinematics: spatial description, homogeneous transformations

Kinematics: DH representation and transformation matrices

Inverse Kinematics: solvability and solutions

Differential motions and robot Jacobian

Robot programming languages

Path/Trajectory planning

Robot dynamics: EulerLangrange formulation

Robot actuators

Sensors and instrumentation

Robot control: concept, classical control design techniques

Robot control: computed torque technique

Machine vision: introduction
Computer Usage: Matlab
Evaluation Methods: Homework assignments, quizzes, two midterm exams, and one final exam.
Professional Component: Engineering Sciences
Prepared by: Yaobin Chen
Elective Course: ME 597 Introduction to Nanotechnology
Catalog Description: Credit 3. Class 3.
Nanotechnology describes a new emerging field of molecular manufacturing; namely the ability to manipulate matter at the atomic and molecular level, and the ability to build complex structures and machines with atombyatom control. Such capability will have direct impact on material processing, drug and gene delivery, nanomachine manufacturing, and purification of water and air. ME students will be familiar with the concepts of Nanotechnology and be prepared to pursue careers in related areas.
Prerequisites: 1) ME 310 Fluid Mechanics and 2) ME 372 Mechanical Design II; or Graduate Standing
Corequisites: None
Textbook: E. Drexler, Nanosystems, John Wiley & Sons, Inc., 1992
Coordinator: Andrew Hsu
Goals: This course will introduce basic ideas of nanotechnology and the basic laws that govern the physical and chemical properties of molecules. The introductory course aims at teaching the students in the following three areas:

The basics of molecular dynamics

The analysis of components and systems at the nanoscale

Implementation strategies.
The course will also bring current research into the classroom by inviting researchers in this area to give talks. Students may not receive credit for both this course and corresponding ME 497.
