Reliability sensitivity analysis based on multi-hyperplane combination method  

作　　者：Yu-ge DONG Hai-tao LU Ling-ling LI 

机构地区：[1]School of Mechanical and Automotive Engineering, Hefei University of Technology [2]School of Machinery Engineering, Huaiyin Institute of Technology [3]Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei University of Technology

出　　处：《Defence Technology（防务技术）》2014年第4期354-359,共6页Defence Technology

摘　　要：For a nonlinear limit state function, the first-order reliability method(FORM) may cause large errors in the computation of not only the reliability index or failure probability but also the reliability sensitivity. In order to obtain more the accurate results of the reliability sensitivity analysis, a number of hyperplanes are built near the design point by first-order Tayler series expansion, which replace the known nonlinear limit state hypersurface, and an equivalent computational method is utilized to construct an equivalent hyperplane of the obtained hyperplanes. And the reliability sensitivities can be estimated more accurately by the derived equations based on the equivalent hyperplane. An example shows that the method is effective and feasible.For a nonlinear limit state function, the first-order reliability method （FORM） may cause large errors in the computation of not only the reliability index or failure probability but also the reliability sensitivity. In order to obtain more the accurate results of the reliability sensitivity analysis, a number of hyperplanes are built near the design point by first-order Tayler series expansion, which replace the known nonlinear limit state hypersurface, and an equivalent computational method is utilized to construct an equivalent hyperplane of the obtained hyperplanes. And the reliability sensitivities can be estimated more accurately by the derived equations based on the equivalent hyperplane. An example shows that the method is effective and feasible.

关 键 词：可靠性指标 灵敏度分析 超平面 极限状态函数 可靠性灵敏度 泰勒级数展开 可靠度方法 失效概率 

分 类 号：TB114.3[理学—概率论与数理统计]