Advertisement

Chaos in Structural Mechanics

  • Jan Awrejcewicz
  • Vadim Anatolevich Krys'ko

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 1-13
  3. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 15-40
  4. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 41-93
  5. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 95-121
  6. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 123-149
  7. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 151-162
  8. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 163-169
  9. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 171-203
  10. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 205-223
  11. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 225-233
  12. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 235-270
  13. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 271-279
  14. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 281-295
  15. Jan Awrejcewicz, Vadim Anatolevich Krysko
    Pages 297-317
  16. Back Matter
    Pages 375-424

About this book

Introduction

This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof.

The approach draws upon the well-established fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the Bubnov-Galerkin method, are thus described in detail.

Keywords

Bubnov-Galerkin Method bifurcation bifurcation theory chaos chaotic motion computational method mechanics modeling nonlinear vibrations partial differential equation shells stability structural mechanics vibration

Authors and affiliations

  • Jan Awrejcewicz
    • 1
  • Vadim Anatolevich Krys'ko
    • 2
  1. 1.Dept. Automatics and, BiomechanicsTechnical University LodzLodzPoland
  2. 2.Dept. Mathematics/MechanicsSaratov State UniversitySaratovRussian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-77676-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-77675-8
  • Online ISBN 978-3-540-77676-5
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • Buy this book on publisher's site