论文部分内容阅读
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。
The perturbed stochastic finite element method is used to study the large-deflection dynamic response of plate-shell structure with random parameters. Based on Mindlin-Reissner plate theory, the finite element equations of large deformation and large rotation with plate-shell structure are deduced by the full Lagrangian method. Discrete stochastic fields are discretized by the local model based on isoparametric transformation. Combined with perturbation technique, An incremental form of stochastic finite element equations based on perturbation technique is established. Compared with Monte-Carlo method, the calculated results show the effectiveness and accuracy of the proposed method. Through this method, it provides basis and convenience for further structural reliability analysis.