Introduction to linear, parametric, and nonlinear vibrations

Abstract

Part 1 Linear vibrations in mechanical engineering: classification of vibration problems fundamentals of vibrating mechanical systems the conservative single degree of freedom model the non-conservative single degree of freedom model practical uses for single degree of freedom models transients and impulses in single degree of freedom systems systems with more than one degree of freedom continuous systems. Part 2 Parametric vibrations in linear vibrating systems: stability considerations some simple physical systems analysis of governing equations further investigations into parametric phenomena. Part 3 Non-linear vibrations in forced and parametrically excited systems large deflection non-linearities material and structural configuration non-linearities. Part 4 Non-linear vibrations in autoparametric systems: two mode interaction in a coupled beam system application to vibration absorption multi-modal autoparametric interactions. Part 5 Phase plane concepts and chaotic vibrations: an introduction to the phase plane a summary of fundamental phase plane concepts chaos in vibrating systems.