摘要
本文利用拟协调元和一阶摄动方法,提出了随机拟协调板单元,综合考虑了边界条件、物理参数以及载荷的随机性,进行了板的随机有限元分析,推导了广义位移和广义应力的期望和方差值的表达式。同时,还进行了结构可靠性分析,算例表明传统的设计方法过于保守。
The paper provides the stochastic quasiconformal finite plate-element by means of the quasiconformal finite element and the first order perturbation methods. It comprehensively considers the uncertainty of boundary condition,, physical parameters and load, and it makes the stochastic finite element analysis of plate, the formulae of expectation and deviation of the generalized displacement and' the generalized stress are derived. Meanwhile, the analysis of structural reliability is also made. The several examples show that the traditional design method is quite conservative.
