Nonlinear Dynamical Systems in Engineering
Some Approximate Approaches
Seiten
2014
Springer Berlin (Verlag)
978-3-642-43410-5 (ISBN)
Springer Berlin (Verlag)
978-3-642-43410-5 (ISBN)
This book presents and extends methods for solving different types of strong nonlinearities encountered in engineering systems. Each chapter introduces a distinct approximate method, accompanied by representative examples from various fields of engineering.
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.
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.
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.
| Erscheint lt. Verlag | 22.2.2014 |
|---|---|
| Zusatzinfo | XII, 396 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 623 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik | |
| Schlagworte | auxiliary functions • base functions • Complexity • Harmonic balance • homotopy asymptotic method • homotopy perturbation method • Krylov and Bogolyubov method of • Krylov and Bogolyubov method of • Lindstedt-Poincaré • Multiple Scales • parametric iteration method • variational iteration method |
| ISBN-10 | 3-642-43410-X / 364243410X |
| ISBN-13 | 978-3-642-43410-5 / 9783642434105 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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