摘要
提出一个用于结构可靠性分析的改进的重要抽样法，由两个步骤完成：首先应用一阶可靠性方法计算Ｈａｓｏｆｅｒ－Ｌｉｎｄ可靠性指标β，然后将ＭｏｎｔｅＣａｒｌｏ法的抽样区域限制在基本随机变量构成的ｎ维空间β－球外部，随机抽样点由一个随机方向和一个随机半径Ｒ≥β组成，其中随机半径直接从χ２分布抽样，随机方向从（－１，１）均匀分布抽样．
This paper advances a modified importance sampling technique for structural reliability analysis. It involves two steps: the first order reliability method (FORM ) is used to calculate the Hasofer - Lind reliability index β;the sampling domain of Monte Carlo simulation (MCS) is restricted to the points outside the n -dimensional β -sphere. A random point consists of a random direction and a random radius R≥β. The random radius R is directly sampled from a X2 distribution and the random direction from n independent (1, 1) uniform distributions.
出处
《武汉交通科技大学学报》
1994年第3期241-246,共6页
Journal of Wuhan University of Technology(Transportation Science & Engineering)
关键词
可靠性
结构分析
蒙特卡罗法
reliability
structural analysis
Monte - Carlo simulation
sampling methods
