| 基于通用生成函数的可靠性分析方法 |
| |
| 引用本文： | 张小玲,黄洪钟,肖宁聪,汪忠来,何俐萍.基于通用生成函数的可靠性分析方法[J].机械设计,2011,28(11). |
| |
| 作者姓名： | 张小玲 黄洪钟 肖宁聪 汪忠来 何俐萍 |
| |
| 作者单位： | 电子科技大学机械电子工程学院,四川成都,611731 |
| |
| 摘 要： | 提出了基于通用生成函数的可靠性分析方法。首先把连续随机变量离散化,并用离散变量的概率质量函数予以表示;其次根据通用生成函数运算法则计算极限状态函数的概率质量函数,再对极限状态函数的概率质量函数求各阶导数,得到极限状态函数的各阶矩;最后利用极大熵原理建立设计优化问题的数学模型,求解极限状态函数的概率密度函数和累积分布函数。文中所提出的方法避免了对极限状态函数进行灵敏度分析,也不需要求解设计验算点(MostProbable Point,MPP),适于求解混合离散变量和高度非线性问题。实例分析和与蒙特卡洛仿真对比结果验证了所提方法的有效性。
|
| 关 键 词： | 可靠性 通用生成函数 离散变量 概率质量函数 极限状态函数 |
Reliability analysis method based on universal generating function |
| |
| ZHANG Xiao-ling,HUANG Hong-zhong,XIAO Ning-cong,WANG Zhong-lai,HE Li-ping.Reliability analysis method based on universal generating function[J].Journal of Machine Design,2011,28(11). |
| |
| Authors: | ZHANG Xiao-ling HUANG Hong-zhong XIAO Ning-cong WANG Zhong-lai HE Li-ping |
| |
| Affiliation: | ZHANG Xiao-ling,HUANG Hong-zhong,XIAO Ning-cong,WANG Zhong-lai,HE Li-ping(School of Mechatronics Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China) |
| |
| Abstract: | Uncertainty is inevitable in practical engineering problems.Probabilistic reliability method is one of the uncertainty analysis methods.Integral calculation is needed in the probabilistic reliability method.However,it is very difficult or even impossible to obtain an analytical solution to the probabilistic reliability method based on sensitivity when involving high dimensionality and nonlinear integration.Therefore,a reliability analysis method based on the universal generating function is proposed.Firstly... |
| |
| Keywords: | reliability universal generating function discrete variable probability mass function limit state function |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
