ME 5900 Nonlinear Vibration

Course Description

Vibration analysis of time-varying and nonlinear mechanical systems; Nonlinear lumped- and distributed-parameter systems. Geometric analysis of nonlinear systems; Equilibria; Stability and bifurcations; Perturbation techniques for analytical solution of time-varying and nonlinear systems; Primary-, super-, and sub-harmonic resonances in forced response; Nonlinear jump frequencies; Parametrically-excited systems; Nonlinear vibration of multi-degree-of-freedom and continuous systems; Internal resonances.