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Nonlinear Stochastic Dynamic Engineering Systems

IUTAM Symposium Innsbruck/Igls, Austria, June 21–26, 1987

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. F. Ziegler

    1. Österreichisches Nationalkomitee für Theoretische und Angewandte Mechanik, Technische Universität Wien, Institut für Allgemeine Mechanik, Wien, Österreich

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  2. G. I. Schuëller

    1. Institut für Mechanik, Universität Innsbruck, Innsbruck, Österreich

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Part of the book series: IUTAM Symposia (IUTAM)

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Table of contents (38 papers)

  1. Front Matter

    Pages I-X
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  2. Equivalent Linearization and Linearization Techniques

    1. Front Matter

      Pages 1-1
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    2. Accuracy and Limitations of the Method of Equivalent Linearization for Hysteretic Multi-Storey Structures

      • H. J. Pradlwarter, G. I. Schuëller
      Pages 3-21

    3. On Equivalent Harmonic and Stochastic Linearization for Nonlinear Shock-Absorbers

      • P. Hagedorn, J. Wallaschek
      Pages 23-32

    4. Approximate Analysis of Limit Cycles in the Presence of Stochastic Excitations

      • H. Windrich, P. C. Müller, K. Popp
      Pages 33-44

    5. The Method of Statistical Linearization for Non-Linear Stochastic Vibrations

      • F. Kozin
      Pages 45-56

    6. Statistical Dynamics of Vibroimpact Systems

      • M. F. Dimentberg, A. I. Menyailov
      Pages 57-66

  4. Stability Problems

    1. Front Matter

      Pages 123-123
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    2. Stochastic Stability of Modes at Rest in Coupled Nonlinear Systems

      • S. T. Ariaratnam
      Pages 125-133

    3. Mean Square Stability and Spectrum Identification of Nonlinear Stochastic Systems

      • W. Wedig
      Pages 135-152

    4. Stability of Linear Differential Systems with Parametric Excitation

      • Etienne Pardoux, Denis Talay
      Pages 153-168

    5. Stochastically Perturbed Bifurcations

      • N. Sri Namachchivaya, Harry H. Hilton
      Pages 169-180

    6. Lyapunov Exponents of Nonlinear Stochastic Systems

      • L. Arnold
      Pages 181-201

  5. Chaotic Motions

    1. Front Matter

      Pages 203-203
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    2. Random Loading by Large Displacement Chaotic Motions

      • W. Schiehlen, D. Bestle
      Pages 205-215

    3. Chaos in Nonlinear Systems Subjected to Small Random Perturbations

      • Y. Sunahara, Y. Morita, T. Yasuda
      Pages 217-228
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Keywords

About this book

This symposium, held at Innsbruck/lgls on June 21-26, 1987, is the fifth in a series of IUTAM-Symposia on the application of stochastic methods in mechanics. The flrst two meetings in Warwick (1972) and Southhampton (1976) concentrated on the stability of stochastic dynamical systems and stochastic methods in dynamics, respectively. The third meeting in Frankfurt/Oder (1982) added aspects of reliability, while the fourth symposium in Stockholm (1984) dealt mainly with fatigue and fracture problems. The general theme of the present symposium is devoted to nonlinear stochastic dynamics of engineering systems which is believed of great importance for providing the tools for basic development and progress in various fields of mechanical-, structural- and aeronautical engineering, particularly in the areas of vehicle dynamics, multi-storey structural dynamics, systems identiflcation, offshore structural dynamics, nuclear structures under various stochastic loading conditions (i. e. wind-, earthquake-, parametric excitations, etc. ). The contributions collected in this volume cover a wide spectrum of topics ranging from more theoretical, analytical and numerical treatment to practical application in various flelds. The truly international character of the meeting is accomplished by 42 contributions and 86 participants from as many as 19 countries and hence, contributed to the original idea of IUTAM, which is to foster international cooperation. It should be recalled, that, for getting this cooperation started again after the First World War, Theodore von Kanmm and Tullio Levi-Civita called the world's flrst international (IUTAM) conference on hydro- and aerornechanics in 1922 in Innsbruck, Austria.

Editors and Affiliations

  • Österreichisches Nationalkomitee für Theoretische und Angewandte Mechanik, Technische Universität Wien, Institut für Allgemeine Mechanik, Wien, Österreich

    F. Ziegler

  • Institut für Mechanik, Universität Innsbruck, Innsbruck, Österreich

    G. I. Schuëller

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