Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches

Author:   Vasile Marinca ,  Nicolae Herisanu
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:  

9783642434105


Pages:   396
Publication Date:   22 February 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches


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Overview

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.

Full Product Details

Author:   Vasile Marinca ,  Nicolae Herisanu
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.623kg
ISBN:  

9783642434105


ISBN 10:   364243410
Pages:   396
Publication Date:   22 February 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

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