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Response of Secondary Structures in Stochastic Systems with Impacts

  • A. S. Kovaleva
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 72)

Abstract

Forced systems with impacts upon one- or two-sided rigid stops are commonly encountered in engineering. Examples include forced mechanical systems with clearances such as heat exchangers tubes under aerodynamic excitation (Whiston, 1987) as well as examples from offshore engineering such as the articulated mooring tower (Thompson, 1984) or moored ships on ocean waves (Thompson, 1986). Although environmental loading is of substantially stochastic nature, these models were considered as periodically forced systems.

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References

  1. Babitsky, V.l. (1998) Theory of Vibro-Impact Systems, Springer-Verlag, Berlin.zbMATHGoogle Scholar
  2. Dirnentberg, M. and Menyalov, A. (1987) Statistical dynamics of vibroimpact systems, in: G. Shueller and F. Ziegler (eds.), Nonlinear Stochastic Dynamics of Engineering Systems, Kluwer Academic Publishers, Dordrecht, pp. 57–65.Google Scholar
  3. Gihman, I.I. and Skorohod, A.V. (1979) Theory of Stochastic Processes, Springer-Verlag, Berlin.zbMATHCrossRefGoogle Scholar
  4. Kovaleva, A.S. (1990) Control for Oscillatory and Vibro-Impact Systems, Nauka, Moscow.(in Russian, English translation: Control for Mechanical Oscillations, Springer-Verlag, Berlin, in press).Google Scholar
  5. Kovaleva, A.S. (1993) Decomposition of motions in stochastic nonlinear systems with a spinning phase, J. Appl. Math. Meck, 57, 237–245.MathSciNetCrossRefGoogle Scholar
  6. Kushner, H.J. (1984) Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic System Theory, The MIT Press, Cambridge, MA.Google Scholar
  7. Meirovitch, L. (1990). Dynamics and Control of Structures, Springer-Verlag, Berlin.Google Scholar
  8. Thompson, J.M.T., Bokaian, A.R. and Ghaffari, R. (1984) Subharmonic and chaotic motions of compliant offshore structures and articulated motion towers, J. Energy Resources Technol., 106, 191–198.CrossRefGoogle Scholar
  9. Thompson, J.M.T. and Stuart, H.B. (1986) Nonlinear Dynamics and Chaos, John Wiley & Sons, Chichester.zbMATHGoogle Scholar
  10. Whiston, G.S. (1987) The vibroimpact response of a harmonically excited and preloaded one dimensional linear oscillator, J. of Sound and Vibrations, 118, 395–429.MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • A. S. Kovaleva
    • 1
  1. 1.Mechanical Engineering Research InstituteRussian Academy of SciencesMoscowRussia

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