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Second-order statistics of large-amplitude free vibration of a random composite plate

Abstract This article addresses the non-linear free vibration stochastic characteristic of a laminated composite plate having random material properties. The transverse shear effects have been included in the system equation in the frame work of higher-order shear deformation theory. The analysis uses Green—Lagrange non-linear strain—displacement relationship to model geometric non-linearity. Direct iteration approach is used to handle deterministic system non-linearity and perturbation approach is presented to handle the randomness in the system properties. Mean and variance of the random natural frequencies have been obtained by employing a C0 isoparametric non-linear finite-element model. Comparisons with the published results show the accuracy of the proposed procedure. A few results covering various features have been presented for a laminated composite plate with different boundary conditions.