STOCHASTIC FINITE ELEMENT METHOD FOR ANALYZING NONLINEAR SHELL STRUCTURES WITH RANDOM PARAMETERS
Several algorithms were proposed for the development of a framework of the perturbation based stochastic finite element method(PSFEM) for analyzing nonlinear shell structures with random parameters. For this purpose, based on the stochastic virtual work principle, some algorithms and a framework related to SFEM were studied. An isoperimetric local average method was used to discretize the random fields. A comparison with Monte-Carlo simulation method shows that the approaches proposed herein are accurate and effective for the nonlinear dynamic analysis of structures with random parameters.