J4 ›› 2007, Vol. 18 ›› Issue (23): 0-2778.

• 机械科学 •    

广义随机空间内相关系数的可靠性灵敏度

王世鹏1;张义民2;解艳彩1   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-12-10 发布日期:2007-12-10

Reliability Sensitivity to the Correlation Coefficients among Variables in Generalized Random Space

Wang Shipeng1;Zhang Yimin2;Xie Yancai1   

  • Received:1900-01-01 Revised:1900-01-01 Online:2007-12-10 Published:2007-12-10

摘要:

在可靠性分析的优化方法基础上,对随机变量间相关系数在可靠性分析中的重要性进行了分析;通过对随机变量间相关系数的可靠性灵敏度的计算和分析,得到了随机变量间相关系数的改变对结构可靠性的影响。通过实例计算来展示该方法在工程实际中的应用情况。研究结果为确定随机变量间相关系数在可靠性分析中的重要性以及对结构可靠性的影响提供了分析方法,为统计分析工作以及可靠性设计提供了有益的参考。

关键词: 广义随机空间;机械设计;可靠性分析的优化方法;相关系数;灵敏度

Abstract:

The importance and the reliability sensitivity of the correlation coefficients among the basic variables in generalized random space in the reliability analysis were investigated. By the reliability analysis optimal method including operation of the correlation coefficients among the basic random variables in generalized random space, the importance of the correlation coefficients among the basic variables in generalized random space in the reliability analysis was analyzed through calculation of the reliability analysis, and the influence of the correlation coefficients among the basic variables in generalized random space on the structural reliability through calculation of the reliability sensitivity. The method can be used to obtain information such as the importance of the correlation coefficients among basic variables in generalized random space, influence and different influence levels on the structural reliability. Some useful reference to statistical work and reliability design is provided.

Key words: generalized random space, mechanical design, reliability analysis optimal method, correlation coefficient, sensitivity

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