空间杆系结构的随机有限元分析

针对杆系结构分别或同时考虑了结构的物理参数、构件的几何参数及作用荷载等的随机性,提出了将确定性有限元随机化的方法,结合H-L（Hasofer-Lind）几何法,以结构的位移响应作为功能函数,得到结构中构件的可靠指标.通过算例表明随机变量的变异系数对构件可靠指标有较大影响,当同时考虑多个基本随机变量时,结构响应呈现出很强的随机性,基于随机有限元的可靠性分析方法具有一定普适性、可行性与实用性.

Analysis of the stochastic finite element method for space trusses

The method has been brought forward that had made the determinate method to change the stochastie finite element by synchronously or respectively considering the physics parameter, geometry parameter and random load. Using H-L geometry method, the minimum credibility index had gotten by using construct displacement response as function. The results have been shown that the variation coef- ficient of random variable has very large effects to construct credibility index. When considering muti- basis random variable, construct response represents strong stochastic. This example has been shown that the method has feasibility, rationalization and practicability.