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Journal of Statistical Physics

, Volume 44, Issue 5–6, pp 907–920 | Cite as

A nonlinear system under combined periodic and random excitation

  • R. N. Iyengar
Articles

Abstract

The anharmonic oscillator under combined sinusoidal and white noise excitation is studied using the Gaussian closure approximation. The mean response and the steady-state variance of the system is obtained by the WKBJ approximation and also by the Fokker-Planck equation. The multiple steadystate solutions are obtained and their stability analysis is presented. Numerical results are obtained for a particular set of system parameters. The theoretical results are compared with a digital simulation study to bring out the usefulness of the present approximate theory.

Key words

Nonlinear equation stochastic process stability steady-state Gaussian closure 

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References

  1. 1.
    T. K. Caughey,J. Acou. Soc. Am. 35:1706–1711 (1963).Google Scholar
  2. 2.
    A. B. Budgor,J. Stat. Phys. 17:21–44 (1977).Google Scholar
  3. 3.
    A. R. Bulsara, K. Lindenberg, and K. E. Shuler,J. Stat. Phys. 27:787–808 (1982).Google Scholar
  4. 4.
    R. N. Iyengar and P. K. Dash,J. App. Mech. 45:393–399 (1978).Google Scholar
  5. 5.
    R. L. Stratonovich,Topics in the Theory of Random Noise, Vol. II (Gordon and Breach, New York, 1963).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • R. N. Iyengar
    • 1
  1. 1.Department of Civil Engineering and Center for Atmospheric SciencesIndian Institute of ScienceBangalore 12India

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