蒙特卡罗改进法求解可靠度编程中的问题及解决方法

Problems and Solutions in the Seeking of Reliability Index by the Modified Monte Carlo Method

用蒙特卡罗改进法对编程中的关键问题进行了探讨并给出了解决方法．这些问题主要包括正态分布函数Φ（ｘ）及其反函数Φ－１（ｘ）的取值和非正态随机变量的当量正态变换．通过对上述问题的解答，可较好地解决实际工程问题的可靠度，并给出蒙特卡罗改进法的算例．

The key problems and solutions in the seeking of reliability index by the modified Monte Carlo method are given in this paper. These problems include the values of normal distribution function Φ(x) and its inverse function Φ -1 (x) , and the equivalent normal conversion for non normal random variables. Based on the solutions for above problems, the modified Monte Carlo method can be used for solving the reliability index problems in the practical engineering. Finally, an example is given to show that this method is very effective.