同时算出结构可靠指标和验算点值的快速收敛蒙特卡罗法

基于结构可靠指标的几何涵义，本文提出一种用蒙特卡罗法计算结构可靠指标及验算点的方法．该法通过数学处理，使随机抽样只限于在失效边界上进行，并在此基础上寻找出坐标原点到失效面的最短距离以及相应点的坐标值，从而获得可靠指标和验算点值．算例表明，该法收敛快、精度高、模拟次数与失效概率大小无关，完全可用于各种工程结构的可靠度计算．本文对某重力坝段进行了可靠度计算，获得满意的结果．

Rapid Convergence Monte-Carlo Method for Finding Structural Reliability Index and Design Point

Based on the geometric meaning of the structural reliability index,a modified Monte-Carlo method is put forward which can be used to find both the structural reliability index and the design point.By mathematical treatment,the drawing samples of the shortest distance between the origin of the coordinates and the failure surface and the coordinates corresponding to the point on it are found, from which the reliability index and the design point can immediately be obtained.Many illustrations show that the method can be used for solving all the engineering problems.Finally,A gravity dam is analysed and very good results are obtained by the method.