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Nonlinear Stability of Structures pp 143–168Cite as

Nonlinear Dynamic Buckling and Stability of Autonomous Dissipative Discrete Structural Systems

Non-Potential Systems

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

Abstract

The stability of perfect bifurcational discrete dissipative systems under follower loading in regions of existence/non-existence of adjacent equilibria is reexamined in the light of recent progress in nonlinear dynamics. A general qualitative theory for such non-potential autonomous systems which may exhibit a periodic attractor in addition to a point one is developed. Conditions for the existence of adjacent equilibria and for different types of local dynamic bifurcations are established. Focusing attention on the coupling effect of geometric (and/or material) nonlinearities and vanishing damping new findings contradicting widely accepted results of the classical (linear) analysis are explored. Thus, in a small region of adjacent equilibria it is found that the static stability criterion may fail to predict the actual critical load.

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Author information

Authors and Affiliations

  1. National Technical University of Athens, Athens, Greece

    A. N. Kounadis

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  1. A. N. Kounadis
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Editors and Affiliations

  1. Technical University of Athens, Greece

    A. N. Kounadis

  2. Ruhr-University Bochum, Germany

    W. B. Krätzig

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© 1995 Springer-Verlag Wien

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Kounadis, A.N. (1995). Nonlinear Dynamic Buckling and Stability of Autonomous Dissipative Discrete Structural Systems. In: Kounadis, A.N., Krätzig, W.B. (eds) Nonlinear Stability of Structures. International Centre for Mechanical Sciences, vol 342. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4346-9_3

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  • DOI: https://doi.org/10.1007/978-3-7091-4346-9_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82651-5

  • Online ISBN: 978-3-7091-4346-9

  • eBook Packages: Springer Book Archive

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