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Nonlinear Dynamical Systems in Engineering

by Marinca, Vasile.
Authors: Herisanu, Nicolae.%author. | SpringerLink (Online service) Physical details: XII, 396 p. online resource. ISBN: 364222735X Subject(s): Engineering. | Computer science %Mathematics. | Physics. | Engineering. | Complexity. | Computational Mathematics and Numerical Analysis. | Nonlinear Dynamics.
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E-Book E-Book AUM Main Library 620 (Browse Shelf) Not for loan

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.

This book  presents and extends 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 various fields of engineering.

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