ON A RESPONSE OF THE STOCHASTIC RAYLEIGH SYSTEM

Hao Duong Ngoc

Abstract


The paper shows that the response of the random Rayleigh system,
which is under harmonic and random excitations, can be found by a
system of algebraic equations. The analytical approach is based on
the stochastic averaging method and equivalent linearization method in
Cartesian coordinates so that the Fokker-Planck equation associated with
the linear equations obtained can be solved exactly by the technique of
auxiliary function. The harmonic excitation frequency is taken to be
in the neighborhood of the system natural frequency. The mean-square
responses obtained by the proposed approach are compared with those
obtained by Monte Carlo simulation method

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