随机平面桁架动力特性蒙特卡罗法的节俭研究

考虑平面桁架所有结构参数的随机性，通过随机因子法和对随机参数间相关性的研究，对结构的质量矩阵和刚度矩阵的随机性提出了两种近似处理方法。第1种方法能获得结构动力特性均方根上限，第2种方法能获得结构动力特性随机性的近似解，这两种方法都能显著节俭Monte—Carlo数值模拟法求解的计算量。算例表明，该方法不但节省了数值模拟的时间，且具有较好的精度。

Improvement of Monte-Carlo Method in the Analysis of Dynamic Characteristic for Stochastic 2-D Truss Structure

For a 2-D truss structure,whose all parameters are stochastic,by using the random factor and analyzing the pertinences of all random parameters,this paper proposes two methods to deal with approximatively the randomicities of the mass matrix and stiffness matrix,the first method can obtain an upper limit of standard deviation of dynamic characteristic,the second method can obtain an approximation of it,both of them can greatly decrease the tasks of Monte-Carlo numerical simulation.Finally,the frugality and precision of the two methods proposed in this paper are proved by the computer simulation of an example.