【摘要】 对随机参数桁架结构在随机荷载作用下的有限元分析方法进行了研究.分别或同时考虑了结构的物理参数、构件的几何尺寸和作用荷载幅值等的随机性;应用代数综合法,对结构位移和应力响应随机变量的数字特征计算表达式进行了推导,进而得到结构各响应量的可靠度指标.通过算例表明文中提出的基于概率的随机桁架结构分析与可靠性分析方法的合理性与可行性.更多还原

【Abstract】 This paper deals mainly with the analysis method of the finite element and reliability for truss structures with random parameters under random loads action. The stochastic factors of the structural physical parameters, geometry dimensions and the stochastic loads applied on structures are considered respectively or simultaneously in the analysis. The algebra synthesis method is employed to obtain the computational expressions for the numerical characteristic of the structural responses (displacements and stresses). And then the reliability indexes of the structural responses are obtained. Finally, the rationality and the feasibility of the method are confirmed by an example.更多还原