基于随机有限元的梁单元反应变异性分析

Random response analysis of beam unit based on stochastic finite elementmethod

针对工程中由于不确定因素的影响而导致的结构反应的变异,利用随机有限元推导了在多个随机变量作用下梁单元结构反应变异的公式,以镗刀杆工作的位移变异为例,详细地介绍了其计算过程,并将其与解析法和Monte-Carlo法进行了对比,分析了各自的适用范围,为不确定性结构的可靠性分析奠定了基础。

The stochastic finite element method (SFEM) is adopted to analyse the structural random response of beam unit induced by various random factors. Taking the boring cutter as a case study, its calcukting procedure is introduced in detail. Comparison of SFEM and the available theoretical methods and the Monte-Carlo method is presented. The limitations for each method in different conditions are discussed