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Equivalent Nonlinearization of Nonlinear Systems to Random Excitations

  • C. W. S. To
  • D. M. Li
Conference paper

Abstract

The broadest class of solvable reduced Fokker-Planck equation is given and a new equivalent nonlinear method is presented to obtain an approximate probability density function for the response of a nonlinear oscillator to Gaussian white noise excitations. The method is based on the least meansquare criterion and Euler equation. It is shown that this method, which is simpler and more reasonable, generalizes Caughey’s method and gives the same results as Cai and Lin under purely additive excitations. Examples are given to show the applications of the method. In one of the examples, this method leads to a better approximation than that obtained from the energy dissipation criterion.

Keywords

Euler Equation Nonlinear Oscillator Spring Force Solvable Equation Nonlinear Stochastic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • C. W. S. To
    • 1
  • D. M. Li
    • 1
  1. 1.Department of Mechanical EngineeringThe University of Western OntarioLondonCanada

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