Mechanical Engineering : Lagrange's equations of motion. Hamilton's principle. Variational methods. Discrete linear systems: analytical and numerical methods. Distributed parameter systems: exact solutions and discretization techniques. Electrical-mechanical-acoustical analogies. Stability of systems. Nonlinear dynamics: phase-plane, perturbation and other methods of solution.
Terms: Winter 2014
Instructors: Michael P Paidoussis (Winter)