Nonlinear Dynamical Systems in Engineering Some Approximate Approaches
Title:
Nonlinear Dynamical Systems in Engineering Some Approximate Approaches
ISBN:
9783642227356
Personal Author:
Edition:
1st ed. 2011.
Publication Information New:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Physical Description:
XII, 396 p. online resource.
Contents:
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.
Abstract:
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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Electronic Access:
Full Text Available From Springer Nature Engineering 2011 Packages
Language:
English