Nonlinear Dynamical Systems in Engineering (eBook)

Some Approximate Approaches

Vasile Marinca, Nicolae Herisanu (Autoren)

eBook Download: PDF

2012
396 Seiten
Springer Berlin (Verlag)
978-3-642-22735-6 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 5.1.2012
• Zusatzinfo: XII, 396 p.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: auxiliary functions • base functions • Complexity • Harmonic balance • homotopy asymptotic method • homotopy perturbation method • Krylov and Bogolyubov method of • Lindstedt-Poincaré • Lindstedt-Poincaré • Multiple Scales • parametric iteration method • variational iteration method
• ISBN-10: 3-642-22735-X / 364222735X
• ISBN-13: 978-3-642-22735-6 / 9783642227356