MECH&AE 255B

Main Course

Mathematical Methods in Dynamics

Description

Lecture, four hours; outside study, eight hours. Requisite: course 255A. Concepts of stability; state-space interpretation; stability determination by simulation, linearization, and Lyapunov direct method; the Hamiltonian as a Lyapunov function; nonautonomous systems; averaging and perturbation methods of nonlinear analysis; parametric excitation and nonlinear resonance. Application to mechanical systems. Letter grading.

Prerequisites

• Required: MECH&AE 255A

  Plan

  Taken?