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A new method of structural analysis is proposed for the solution of problems of response uncertainty for the case that involves uncertainty in shape. The method makes use of a Hermite polynomial chaos expansion of the process. The proposed method involves a mathematical formulation which is a natural extension of the deterministic finite element concept to the space of random functions. In this paper, two example problems are investigated by the new method, i.e., a plate with a circular hole at the center and a cruciform weld joint. Then accuracy of the analysis will be discussed for different size of a plate with a circular hole. The validity of a new method of structural analysis is discussed using a result of uncertainty analysis through a Monte-Carlo simulation by solution of the deterministic problems.

A Study on the Method of Structural Analysis with Uncertainty in Shape by Stochastic Finite Element Method