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.
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References
Bianchi, G. and Schiehlen, W. (eds.): Dynamics of Multibody Systems. Berlin/…: Springer-Verlag 1986.
Guckenheimer, J. and Holmes, P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York/…: Springer-Verlag 1986.
Kreuzer, E.: Numerische Untersuchung nichtlinearer dynamischer Systeme. Berlin/…: Springer-Verlag 1987.
Bestie, D.: Beurteilungskriterien für chaotische Bewegungen nichtlinearer Schwingungssysteme. Ph.D. thesis, University of Stuttgart, to appear.
Schuëller, G.: Einführung in die Sicherheit und Zuverlässigkeit von Tragwerken. Berlin/München: Wilhelm Ernst & Sohn 1981.
Schiehlen, W.: Technische Dynamik. Stuttgart: B.G. Teubner 1985.
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© 1988 Springer-Verlag Berlin Heidelberg
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Schiehlen, W., Bestle, D. (1988). Random Loading by Large Displacement Chaotic Motions. In: Ziegler, F., Schuëller, G.I. (eds) Nonlinear Stochastic Dynamic Engineering Systems. IUTAM Symposium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83334-2_14
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DOI: https://doi.org/10.1007/978-3-642-83334-2_14
Publisher Name: Springer, Berlin, Heidelberg
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