Random vibration analysis of FGM plates subjected to moving load using a refined stochastic finite element method

Abstract

The article introduces a finite element procedure using the bilinear quadrilateral element or four-node rectangular element (namely Q4 element) based on a refined first-order shear deformation theory (r-FSDT) and Monte Carlo simulation (MCS), so-called refined stochastic finite element method to investigate the random vibration of functionally graded material (FGM) plates subjected to the moving load. The advantage of the proposed method is to use r-FSDT to improve the accuracy of classical FSDT, satisfy the stress-free condition at the plate boundaries, and combine with MCS to analyze the vibration of the FGM plate when the parameter inputs are random quantities following a normal distribution. The obtained results show that the distribution characteristics of the vibration response of the FGM plate depend on the standard deviation of the input parameters and the velocity of the moving load. Furthermore, the numerical results in this study are expected to contribute to improving the understanding of FGM plates subjected to moving loads with uncertain input parameters.