This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called "base functions". These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part.
Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.
Inhaltsverzeichnis
Introduction. - Perturbation method (Lindstedt-Poincaré). - The method of harmonic balance. - The method of Krylov and Bogolyubov. - The method of multiple scales. - The optimal homotopy asymptotic method. - The optimal homotopy perturbation method. - The optimal variational iteration method. - Optimal parametric iteration method.
