Vasile Marinca, Nicolae Herisanu

Nonlinear Dynamical Systems in Engineering

Some Approximate Approaches

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 80064695, 978-3-642-22734-9
• 2011
• Seitenzahl: 408
• Erscheinungstermin: 5. Januar 2012
• Englisch
• Abmessung: 241mm x 160mm x 27mm
• Gewicht: 744g
• ISBN-13: 9783642227349
• ISBN-10: 3642227341
• Artikelnr.: 33658787

Inhaltsangabe

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.