Invariant Manifold Representations of Nonlinear Modes of Vibration

Abstract

This chapter describes the definition and use of modes of vibration in terms of invariant manifolds. The goal of this chapter is to provide some basic background in terms of the terminology, ideas, and constructive methods for nonlinear modes using invariant manifolds. A range of formulations and applications are summarized and an example is presented that demonstrates the main ideas for a system with nonsychronous modes.