Nonlinear Oscillations and Stability of Mechanical Systems

College of Engineering catalogue

Advisory Prerequisite: MECHENG 541. Enforced Prerequisite: None. ( 3 credits) Large amplitude mechanical vibrations; phase-plane analysis and stability; global stability, theorems of Liapunov and Chetayev; asymptotic and perturbation methods of Lindstedt-Poincare, multiple scales, Krylov-Bogoliubov-Mitropolsky; external excitation, primary and secondary resonances; parametric excitation, Mathieu/Hill equations, Floquet theory; multi-degree of freedom systems and modal interaction.