Nonlinear Dynamical Systems in Engineering [recurso electrónico] : Some Approximate Approaches / by Vasile Marinca, Nicolae Herisanu.

Por: Marinca, Vasile [author.]Colaborador(es): Herisanu, Nicolae [author.] | SpringerLink (Online service)Tipo de material: TextoTextoEditor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011Descripción: XII, 396 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642227356Tema(s): Engineering | Computer science -- Mathematics | Physics | Engineering | Complexity | Computational Mathematics and Numerical Analysis | Nonlinear DynamicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 620 Clasificación LoC:QA76.9.M35Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA76.9 .M35 (Browse shelf(Abre debajo)) 1 No para préstamo 376545-2001

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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