Response of Rectangular Plates to Stationary Random Excitation by the Equivalent Linearization Technique.
Scientific Interim rept.,
MASSACHUSETTS UNIV AMHERST DEPT OF CIVIL ENGINEERING
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In the present study, the procedure for obtaining an approximate solution for the mean-square response of geometrically nonlinear plates to random excitation with arbitrary power spectral density by taking into account the influence of the various modes represented in the response is presented. The equivalent linearization technique has been used for this purpose. As an illustration of this procedure, the mean-square response of a simply supported rectangular plate to both white and non-white random excitation is determined. It has been shown that the response corresponding to the fundamental mode is predominant if the damping of the system is small and if the power spectral density of the excitation does not have any very sharp peaks around the frequencies corresponding to higher modes. It is expected that the mean-square response of lightly damped nonlinear plates with arbitrary boundary conditions and subject to random excitation with a given power spectral density can be obtained by the equivalent linearization technique with reasonably good accuracy. Author