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  • © 2011

Nonlinear Dynamical Systems in Engineering

Some Approximate Approaches

  • Provides a better understanding of the base functions and the auxialiary functions for optimal approaches
  • Inspires to appreciate the beauty as well as the usefulness of the optimal analytical techniques
  • Includes many representative examples from to various fields of engineering
  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Vasile Marinca, Nicolae Herisanu
    Pages 1-8
  3. Perturbation Method: Lindstedt-Poincaré

    • Vasile Marinca, Nicolae Herisanu
    Pages 9-29
  4. The Method of Harmonic Balance

    • Vasile Marinca, Nicolae Herisanu
    Pages 31-45
  5. The Method of Krylov and Bogolyubov

    • Vasile Marinca, Nicolae Herisanu
    Pages 47-82
  6. The Method of Multiple Scales

    • Vasile Marinca, Nicolae Herisanu
    Pages 83-102
  7. The Optimal Homotopy Asymptotic Method

    • Vasile Marinca, Nicolae Herisanu
    Pages 103-209
  8. The Optimal Homotopy Perturbation Method

    • Vasile Marinca, Nicolae Herisanu
    Pages 211-257
  9. The Optimal Variational Iteration Method

    • Vasile Marinca, Nicolae Herisanu
    Pages 259-311
  10. Optimal Parametric Iteration Method

    • Vasile Marinca, Nicolae Herisanu
    Pages 313-384
  11. Back Matter

    Pages 385-395

About this book

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.

Authors and Affiliations

  • , Department of Mechanics and Vibration, Politehnica University of Timisoara, Timisoara, Romania

    Vasile Marinca, Nicolae Herisanu

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access