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Nonlinear Dynamical Systems in Engineering || The Optimal Homotopy Perturbation Method

✍ Scribed by Marinca, Vasile; Herisanu, Nicolae

Book ID
120155408
Publisher
Springer Berlin Heidelberg
Year
2011
Tongue
German
Weight
547 KB
Edition
2011
Category
Article
ISBN
364222735X

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✦ Synopsis

This bookΒ  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 β€œbase 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.

πŸ“œ SIMILAR VOLUMES

Nonlinear dynamic analysis of an electri
Nonlinear dynamic analysis of an electrical machine rotor–bearing system by the optimal homotopy perturbation method
✍ V. Marinca; N. Herişanu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 312 KB

In this paper an analytical technique, called the optimal homotopy perturbation method (OHPM), is employed to study the nonlinear behaviour of an electrical machine modelled as a rotor supported by two journal bearings with nonlinear suspension. The dynamics of the rotor centre and bearing centre ar

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✍ Marinca, Vasile; Herisanu, Nicolae πŸ“‚ Article πŸ“… 2011 πŸ› Springer Berlin Heidelberg 🌐 German βš– 200 KB

This bookΒ  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 β€œbase functions”. These are absolutely necessa