结构可靠性的纽曼展开蒙特卡罗随机有限元分析

THE RELIABILITY ANALYSIS OF STRUCTURE BY NEUMANN EXPANSION'S MONTE CARLO STOCHASTIC FINITE ELEMENT METHOD

分析计算了复合材料回转结构的可靠性.其间,将纽曼级数展开应用于蒙特卡罗随机有限元,对每一次随机抽样,只需一次形成刚度矩阵,进行前代、回代及矩阵的乘法和加法( 减法) 运算.同时,在蒙特卡罗抽样中引入了β球法加以改进,缩小了抽样范围.由此,可使计算时间大为缩短,效率大为提高.

Uses Neumann expansion to Monte Carlo stochastic finite element. So stiffness matrix is formed only one time during sampling. At same time β ball sampling improvement is used for Monte Carlo method to calculate the structure reliability. As a result, the computational time of stochastic finite element is cut down greatly. Finally, the paper has calculated the reliability of a composite convolution structure.