Nonlinear Dynamical Systems in Engineering

Some Approximate Approaches

  • Vasile Marinca
  • Nicolae Herisanu

Table of contents

  1. Front Matter
    Pages i-xi
  2. Vasile Marinca, Nicolae Herisanu
    Pages 1-8
  3. Vasile Marinca, Nicolae Herisanu
    Pages 9-29
  4. Vasile Marinca, Nicolae Herisanu
    Pages 31-45
  5. Vasile Marinca, Nicolae Herisanu
    Pages 47-82
  6. Vasile Marinca, Nicolae Herisanu
    Pages 83-102
  7. Vasile Marinca, Nicolae Herisanu
    Pages 103-209
  8. Vasile Marinca, Nicolae Herisanu
    Pages 211-257
  9. Vasile Marinca, Nicolae Herisanu
    Pages 259-311
  10. Vasile Marinca, Nicolae Herisanu
    Pages 313-384
  11. Back Matter
    Pages 385-395

About this book

Introduction

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.

Keywords

Harmonic balance Krylov and Bogolyubov method of Lindstedt-Poincaré Multiple scales auxiliary functions base functions homotopy asymptotic method homotopy perturbation method parametric iteration method variational iteration method

Authors and affiliations

  • Vasile Marinca
    • 1
  • Nicolae Herisanu
    • 2
  1. 1., Department of Mechanics and VibrationPolitehnica University of TimisoaraTimisoaraRomania
  2. 2., Department of Mechanics and VibrationPolitehnica University of TimisoaraTimisoaraRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-22735-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-22734-9
  • Online ISBN 978-3-642-22735-6