Introduction to Linear, Parametric and Non-Linear Vibrations

• 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.

...recommend this book to the applied community as a valuable source of practical examples of parametric excitations, treated in a modern fashion. - Mathematical Reviews; [Cartmell] has successfully presented the usually complicated and difficult subjects of parametric and nonlinear vibrations in a concise, clear and easy-to-understand manner - Choice