Nonlinear Stability of Structures

Theory and Computational Techniques

  • A. N. Kounadis
  • W. B. Krätzig

Part of the International Centre for Mechanical Sciences book series (CISM, volume 342)

Table of contents

  1. Front Matter
    Pages ii-ix
  2. Theoretical

  3. Computational

    1. Front Matter
      Pages 241-241
    2. W. B. Krätzig, P. Nawrotzki, P. Wriggers, S. Reese
      Pages 243-243
    3. W. B. Krätzig
      Pages 245-269
    4. W. B. Krätzig
      Pages 313-336
    5. P. Wriggers, S. Reese
      Pages 337-368
    6. W. B. Kratzig, P. Nawrotzki
      Pages 369-415

About this book


The present volume gives a very modern treatment of all theoretical as well as computational aspects of nonlinear structural stability. The theoretical part starts with the basic concepts of nonlinear static stability and classical dynamics and proceeds subsequently with recent progress in nonlinear dynamic stability and dynamic buckling of structures including an introduction to chaos. The first paper overviews theory and modelling of various structural instability problems. In the second section, nonlinear dynamic buckling and stability of autonomous discrete dissipative structural systems, gradient and non-gradient are discussed. The third paper handles stability and bifurcation phenomena in dynamical systems. The fourth paper contains an introduction to nonlinear dynamics and chaos. Special attention is devoted to the direct computation of critical points and path-switching strategies. A variety of numerical simulations for complicated nonlinear unstable responses also illustrate this part.


chaos dynamics instability nonlinear dynamics stability

Editors and affiliations

  • A. N. Kounadis
    • 1
  • W. B. Krätzig
    • 2
  1. 1.Technical University of AthensGreece
  2. 2.Ruhr-University BochumGermany

Bibliographic information

  • DOI
  • Copyright Information CISM Udine 1995
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82651-5
  • Online ISBN 978-3-7091-4346-9
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site