Abstract
In this paper, we aim to propose a stochastic finite element formulation having a capability of considering triple random parameters, i.e. elastic modulus, Poisson’s ratio and thickness of plate, simultaneously in the evaluation of response variability of plates. The effects of cross-correlations between the three random parameters on the response variability are also observed. The generalized auto- and cross-correlation functions that are needed in the evaluation of response covariance are derived based on the general expression for the n-th moment of random variables. In order to demonstrate the adequacy of the proposed scheme, we employ a square plate with various boundary conditions as an example, and the results are compared with those given in the literature as well as with the results of Monte Carlo analysis.
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