Plate Response Variability due to Triple Random Parameters

다국어 초록 (Multilingual 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.

참고문헌 (Reference)

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