Text  Wave Motion in Elastic Solids, by K. F. Graff, Dover, 1991 and Professor Sadd's Class Notes.

Course Objective
The course will provide a basic treatment of the formulation, solution and interpretation of a variety of vibration and wave motion problems involving solid bodies.  Formulation will incorporate Newton's laws to develop the equations of motion for a variety of problems of engineering interest.  Solution methods will use traveling wave theory, separation of variables and integral transforms.  MATLAB software will be used to evaluate and plot particular solutions and interpret the results.

Course Outline

    - Mathematical Preliminaries
    - Vibration of Strings
    - Longitudinal Waves in Rods
    - Torsional Waves in Rods
    - Transverse Waves in Rods & Beams
    - Vibration of Membranes
    - Transverse Vibrations of Plates
    - General Dynamic Elasticity Theory
    - Reflection & Refraction at Plane Interfaces
    - Half-Space Problems
    - Elasticity Theory of Waves in Rods
    - Waves in Viscoelastic Media
    - Finite Element Methods   

Grading Procedure
        Homework - 30%
        Mid-Term Exam - 20%
        Final Exam - 30%
        Project - 20%

Lecture Notes
Project Description and Topics
MATLAB Applications
Working Model Applications
FEM PowerPoint Lecture

Some Wave Motion Animation Web Sites:

http://www.classzone.com/books/earth_science/terc/content/visualizations/es1002/es1002page01.cfm?chapter_no=visualization
http://www.matter.org.uk/Schools/Content/Seismology/pandswaves.html
http://web.ics.purdue.edu/~braile/edumod/waves/Pwave.htm
http://web.ics.purdue.edu/~braile/edumod/waves/Swave.htm