隐式极限状态方程可靠性灵敏度四阶矩估算

中国机械工程 ›› 2014, Vol. 25 ›› Issue (7): 949-953.

隐式极限状态方程可靠性灵敏度四阶矩估算

牛序铭;孙志刚;孔春元;宋迎东

南京航空航天大学机械结构力学及控制国家重点实验室，南京，210016

出版日期:2014-04-10 发布日期:2014-04-11
基金资助:
国家自然科学基金资助项目（51075204）；航空科学基金资助项目（2012ZB52026）；南京航空航天大学基本科研业务费专项科研项目（NZ2012106）

Reliability Sensitivity Estimation for Implicit Limit State Function Using Fourth-moment Method

Niu Xuming;Sun Zhigang;Kong Chunyuan;Song Yingdong

State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing,210016

Online:2014-04-10 Published:2014-04-11
Supported by:
National Natural Science Foundation of China（No. 51075204）;Aviation Science Foundation of China（No. 2012ZB52026）

摘要/Abstract

摘要：

将四阶矩方法与响应面方法相结合，提出一种适用于隐式极限状态方程的可靠性灵敏度四阶矩估算方法。该方法将可靠性灵敏度计算方法与有限元方法相结合，可以准确、快速地计算具有任意分布设计变量的复杂模型可靠性灵敏度，为复杂结构可靠性灵敏度计算提供了一种新思路。对曲柄滑块机构和压力容器管接头两个不同类型的数值算例进行了可靠性灵敏度计算，并采用Monte Carlo方法对计算结果进行了验证。结果表明，两种方法计算得到的可靠性差异很小，且四阶矩估算方法的计算效率远高于Monte Carlo方法的计算效率。

关键词: 四阶矩方法, 响应面方法, 隐式极限状态方程;可靠性灵敏度;任意分布设计变量

Abstract:

The reliability sensitivity estimation for implicit limit state function was proposed by using fourth-moment method and response surface method. The reliability sensitivity of complex structures with arbitrary distribution parameters could be calculated accurately and quickly by combining reliability sensitivity estimation method and finite element method. The reliability sensitivity of two numerical examples such as slider-crank mechanism and pipe joints of pressure vessel were calculated using proposed method, and Monte Carlo method was used to validate the results. The results show that the reliability has little difference between two methods, and the proposed method is more efficient than Monte Carlo method.

Key words: fourth-moment method, response surface method, implicit limit state function, reliability sensitivity, arbitrary distribution parameter

中图分类号:

TB114.2

牛序铭, 孙志刚, 孔春元, 宋迎东. 隐式极限状态方程可靠性灵敏度四阶矩估算[J]. 中国机械工程, 2014, 25(7): 949-953.

Niu Xuming, Sun Zhigang, Kong Chunyuan, Song Yingdong. Reliability Sensitivity Estimation for Implicit Limit State Function Using Fourth-moment Method[J]. China Mechanical Engineering, 2014, 25(7): 949-953.

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