TAM 514: Elastodynamics and Vibrations

Class Description:

Review of theory of multi-degree-of-freedom systems; problems in the free and forced vibration of continuous linear elastic structures, rods, beams, membranes, plates, and three-dimensional solid and fluid bodies; Lagrangian densities, Sturm-Liouville problems, time and frequency domains, damping, Green's functions, and elastic waves; propagation and modal analysis; modeling of damping in structures; response of complex structures.  Credit:  4 hours  
Prerequisites: TAM 412, TAM 542, and TAM 551.  
 
Tentative List of Contents: 
Review of the theory of multi-DOF linear vibrating systems 
Wave equation
Beam equation
General Sturm-Liouville theory of eigenvalue problems 
Vibrations of membranes and plates 
Elements of wave propagation in strings
 
Text
Principles and Techniques of Vibration Analysis, Leonard Meirovitch (recommended).
 
Grading
Homework assignments and projects: 70%
Final exam: 30%

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