板壳结构非线性随机有限元法研究

采用摄动随机有限元法研究了具有随机参数的板壳结构大挠度动力响应问题。基于Mindlin-Reissner板理论，采用全量Lagrangian法推导了具有板壳结构的大变形、大转动的动力响应有限元列式；通过基于等参变换的局部模型对随机场进行离散，结合摄动技术，建立了基于摄动技术的增量形式的随机有限元列式，计算结果与Monte-Carlo法相比较表明了该方法的有效性和精确性。通过该方法，为进一步进行结构可靠性分析提供了依据和方便。

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.