Analytical Methods in Vibrations

Subject: 
Mechanical Engineering (ME)
Catalog number: 
610
Unit weight: 
0.50
Meet type: 
LEC
Grading basis: 
NUM
Cross-listing(s): 
N/A
Requisites: 
Description: 
This course presents the principles relevant to understanding and modelling of vibrating systems. The systems may either be continuous, or discrete with multiple degrees of freedom. The following topics of a general nature are first covered: principles of dynamics, strain energy, virtual work, the variational principle, and Lagrange's equation. Discrete-system topics covered are eigenvalue problems, modal analysis, natural modes of vibration, solution of the characteristic determinant, and approximate methods of solution, (e.g., using finite element methods). Continuous-system topics covered are formulation of the boundary value problem, vibration of rods and membranes, Rayleigh's integral method, the Rayleigh-Ritz method, and Galerkin's method. The course work includes computer algebra, computer simulation, and experiments in the laboratory.
Topic titles: 
N/A
Faculty: 
Engineering (ENG)
Academic level: 
GRD
Course ID: 
010310