ME-5924: Vibration of Continuous Systems

Description: An introduction to basic and advanced methods of solving vibration problems associated with continuous systems using Newton's law, D'Alembert's principle, Hamilton's principle, and Lagrange's equations. Derivation of equations of motion and associated boundary conditions for transverse and longitudinal vibration of bars, torsional vibration of circular shafts, transverse vibration of beams, and transverse vibration of membranes using the formulation of boundary value problems (Newtonian and Lagrangian). Introduction to exact solutions (free vibration and differential eigenvalue problem, forced vibration) and approximate methods (Rayleigh‐Ritz method, assumed‐modes method). Introduction to experimental modal analysis. Knowledge of discrete vibrating systems at an advanced undergraduate level is recommended. Pre: Graduate Standing.

Pathways: N/A

Course Hours: 3 credits

Corequisites: N/A

Crosslist: N/A

Repeatability: N/A