MAK 633 - Nonlinear Vibrations

Course Objectives

Acquintance with the basic concepts of nonlinear and parametric oscillations.
Knowledge on theoretical and practical aspects of nonlinear vibrations.

Course Description

Phase space. Singular points and stability. Bifurcations. Exact solutions. Approximate analytical methods. Vibrations of conservative and non-conservative systems. Self sustaining oscillations. Limit cycle. Forced vibrations. Jump phenomenon. Vibrations of variable parameter systems. Parametrically excited oscillations. Floquet theory. Introduction to chaotic vibrations.