基于随机有限元的薄板结构可靠度研究

运用将随机分析理论与有限元相结合的随机有限元理论,编制了考虑材料的强度、板元的厚度和外载荷均为随机变量的二维平面问题随机有限元程序,研究了其在板壳结构可靠度计算中的应用,并通过简例进行了结构可靠性分析,最后用Monte-Carlo法检验了这种数值解法的相对精度,从而验证了所论方法和编制程序的有效性.

The Study of Shells Structure Reliability With Stochastic Finite Element Method

The two dimensional-shell problem procedure,which considered the material intensity,panel thickness and loads as stochastic variables,was achieved; and the program based on the theory of stochastic finite element method (SFEM) that combined the stochastic analysis theory with finite element method was written. The application of the method was studied in the shell structure and then analyzed the reliability of the structure through an example. At last,the relative precision of the numerical method was exami...