摘要
提出了一种基于Kriging模拟的重要抽样方法用以结构可靠度计算。对于含有隐式极限状态方程的问题,重要抽样方法将大部分的计算时间用于结构有限元分析,这使得重要抽样的计算效率被大大降低了。而Kriging方法能够较好地模拟高度非线性的极限状态方程,并以此模拟计算代替真实的结构分析,其主要目的是为了减少蒙特卡罗方法的计算量。将此方法用于两个框架结构可靠度分析的实例,表明了该方法的有效性和较高的计算效率。
Importance sampling approach based on Kriging simulation is presented for structural reliability evaluation in this paper. For the reliability analysis of implicit limit state function, finite element analysis is a time-consuming process, and it impedes the application of normal importance sampling approach （ISA）. To improve the computing efficiency of ISA, finite element analysis is replaced by the Kriging simulation, which is able to simulate the highly non-linear limit state function satisfactorily. The technique combines importance sampling approach with Kriging simulation technique in structural reliability analysis, and can greatly decrease computing time of ISA. Examples of two kinds of frame structure are provided to show the efficiency of the method.
出处
《工程力学》
EI
CSCD
北大核心
2007年第1期33-36,共4页
Engineering Mechanics
基金
国家自然科学基金重点项目(10332010)
国家863计划(2001AA602015)联合资助
