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Nonlinear Stability of Structures

Theory and Computational Techniques

  • Book
  • © 1995

Overview

Editors:
  1. A. N. Kounadis

    1. Technical University of Athens, Greece

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  2. W. B. Krätzig

    1. Ruhr-University Bochum, Germany

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages ii-ix
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  3. Computational

    1. Front Matter

      Pages 241-241
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    2. Foundamentals of Nonlinear Instabilities and Response Analysis of Discretized Systems

      • W. B. Krätzig, P. Nawrotzki, P. Wriggers, S. Reese
      Pages 243-243

    3. Nonlinear Responses

      • W. B. Krätzig
      Pages 245-269

    4. Solution Strategies for Nonlinear Equations and Computation of Singular Points

      • P. Wriggers
      Pages 271-311

    5. Time-Invariant Instability Problems

      • W. B. Krätzig
      Pages 313-336

    6. Applications

      • P. Wriggers, S. Reese
      Pages 337-368

    7. Computational Concepts for Kinetic Instability Problems

      • W. B. Kratzig, P. Nawrotzki
      Pages 369-415
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Keywords

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.

Editors and Affiliations

  • Technical University of Athens, Greece

    A. N. Kounadis

  • Ruhr-University Bochum, Germany

    W. B. Krätzig

Bibliographic Information

  • Book Title: Nonlinear Stability of Structures

  • Book Subtitle: Theory and Computational Techniques

  • Editors: A. N. Kounadis, W. B. Krätzig

  • Series Title: CISM International Centre for Mechanical Sciences

  • DOI: https://doi.org/10.1007/978-3-7091-4346-9

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: CISM Udine 1995

  • eBook ISBN: 978-3-7091-4346-9Published: 04 May 2014

  • Series ISSN: 0254-1971

  • Series E-ISSN: 2309-3706

  • Edition Number: 1

  • Number of Pages: IX, 415

  • Topics: Theoretical and Applied Mechanics

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