基于拉丁超立方抽样的有限元可靠度程序开发及应用

Program development of finite element reliability method and its application based on Latin hypercube sampling

在地下工程结构可靠性分析中,岩土体参数离散性大,功能函数非线性程度高,常为隐式函数,因此,对可靠度计算方法提出了很高的要求。针对传统蒙特卡罗抽样方法计算量非常大,难以满足工程要求的问题,基于拉丁超立方抽样技术,结合了Matlab和有限元软件Abaqus各自的优点,编制了Matlab-Abaqus联合计算的有限元可靠度程序,该程序具有节省样本空间、提高抽样效率的显著特点。通过对某圆形隧道的结构可靠性分析,表明该程序能很快达到收敛,能够满足地下工程结构可靠性计算分析的要求。

During the reliability analysis of supporting structure in underground engineering, more reasonable reliability computing methods would like to be adopted because of large discreteness of parameters of soil-rock mass and high-degree of nonlinearity of performance function, as well as nearly manifesting as implicit function. While it is hard to satisfy the project requirement by traditional Monte Carlo simulation method with large amount of computation work, the finite element reliability program of joint computation including Matlab and Abaqus is developed. It combines the advantages of Matlab and Abaqus based on Latin hypercube sampling and has the outstanding feature of saving sample space and satisfies requirements of reliability analysis of supporting engineering. and improving efficiency of sampling as well. It can easily converge structure by exhibiting a case of a circular tunnel in underground