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Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches de Vasile Marinca

Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches

Autor Vasile Marinca, Nicolae Herisanu
en Limba Engleză Hardback – 5 ian 2012
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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Specificații

ISBN-13: 9783642227349
ISBN-10: 3642227341
Pagini: 450
Ilustrații: XII, 396 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.74 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Provides a better understanding of the base functions and the auxialiary functions for optimal approaches Inspires to appreciate the beauty as well as the usefulness of the optimal analytical techniques Includes many representative examples from to various fields of engineering Includes supplementary material: sn.pub/extras