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Random Loading by Large Displacement Chaotic Motions

  • W. Schiehlen
  • D. Bestle
Conference paper
Part of the IUTAM Symposium book series (IUTAM)

Summary

In an engineering approach, the chaotic motions and the corresponding loads should be considered as a deterministic system as well as a stochastic process. The criterium proposed to distinguish between these two contrary models uses the return period of two crossings of a sufficiently large admissible stress. Numerical results are presented for the double pendulum, a system of two degrees of freedom only.

Keywords

Return Period Reaction Force Failure Probability Multibody System Chaotic Motion 
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References

  1. 1.
    Bianchi, G. and Schiehlen, W. (eds.): Dynamics of Multibody Systems. Berlin/…: Springer-Verlag 1986.MATHGoogle Scholar
  2. 2.
    Guckenheimer, J. and Holmes, P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York/…: Springer-Verlag 1986.Google Scholar
  3. 3.
    Kreuzer, E.: Numerische Untersuchung nichtlinearer dynamischer Systeme. Berlin/…: Springer-Verlag 1987.MATHGoogle Scholar
  4. 4.
    Bestie, D.: Beurteilungskriterien für chaotische Bewegungen nichtlinearer Schwingungssysteme. Ph.D. thesis, University of Stuttgart, to appear.Google Scholar
  5. 5.
    Schuëller, G.: Einführung in die Sicherheit und Zuverlässigkeit von Tragwerken. Berlin/München: Wilhelm Ernst & Sohn 1981.Google Scholar
  6. 6.
    Schiehlen, W.: Technische Dynamik. Stuttgart: B.G. Teubner 1985.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • W. Schiehlen
    • 1
  • D. Bestle
    • 1
  1. 1.Institute B of MechanicsUniversity of StuttgartStuttgart 80Germany

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