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Nonlinear Dynamical Systems in Engineering

Some Approximate Approaches

Nicolae Herisanu, Vasile Marinca

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Springer Berlin img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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.

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Schlagwörter

base functions, homotopy perturbation method, homotopy asymptotic method, Multiple scales, auxiliary functions, Harmonic balance, complexity, Lindstedt-Poincaré, parametric iteration method, variational iteration method, Krylov and Bogolyubov method of