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Nonlinear Dynamics of Non-Smooth Mechanical Systems: Theoretical and Experimental Studies

  • Marian Wiercigroch
  • Ekaterina E. Pavlovskaia
  • Evgueni V. Karpenko
Conference paper
  • 1.3k Downloads
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)

Abstract

In this paper a brief account on the methodology of describing and solving non-smooth dynamical system is given. This is illustrated by a case of study from rotordynamics, where a combination of analytical, numerical and experimental methods are employed to investigate nonlinear dynamic interactions between a rotor system and a snubber ring.

Key words

Non-smooth system bifurcations rotordynamics 

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References

  1. [1]
    A. F. Filippov, “Differential equations with discontinuous right-hand side,” American Mathematical Society Translations 42(2), 199–231, 1978.Google Scholar
  2. [2]
    M. Wiercigroch and B. de Kraker, eds., Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities. Nonlinear Science Series A Vol. 28. Singapore: World Scientific, 2000.Google Scholar
  3. [3]
    M. Wiercigroch, “On modelling discontinuities in mechanical systems,” Machine Vibration 5, 112–119, 1996.Google Scholar
  4. [4]
    E. E. Pavlovskaia, E. V. Karpenko and M. Wiercigroch, “Nonlinear dynamic interactions of a Jeffcott rotor with a preloaded snubber ring,” Journal of Sound and Vibration, 2003, in press.Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Marian Wiercigroch
    • 1
  • Ekaterina E. Pavlovskaia
    • 1
  • Evgueni V. Karpenko
    • 1
  1. 1.Centre for Applied Dynamics Research, School of Engineering and Physical SciencesKings College, University of AberdeenScotland, UK

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