广义可靠指标矢量及其计算与应用

Computation and application of generalized reliability index vectors

对计算相关变量的结构可靠指标及其关系进行研究.在n维广义随机空间中讨论了结构可靠指标的几何意义,据此提出广义可靠指标矢量及其统一计算方法,并检验了其计算精度.应用广义可靠指标矢量讨论了基本随机变量相关性变化对可靠度影响,并给出其影响规律和应用.应用广义可靠指标矢量可方便地分析相关随机变量的结构失效概率、失效模式间相关性计算等结构体系可靠度分析的关键问题.

This paper discusses reliability indexes for correlation variables and their relationships. The generalized reliability index vector （GRIV） and a definition of the reliability index were put forward in the generalized n dimensions random space. Formats for its expression as well as a computational model were provided. Reliability indexes for correlation of random variables can be easily analyzed by GRIV, and its influence rules were discovered. Key questions regarding structural system reliability, examples of structural failure of correlation of random variables and a failure mode correlation index are all expressed by GRIV easily and conveniently.