摘要
基于可靠性灵敏度设计的随机摄动技术,结合可靠性分析的矩方法、矩阵微分理论和Kro-necker代数的相关理论,讨论了实际中存在着高度非线性极限状态方程结构的可靠性灵敏度问题.在已知随机变量前4阶矩的前提下,对基于摄动法的可靠性灵敏度计算方法进行了修正,提出了具有高度非线性结构的可靠性灵敏度计算方法.并结合实例证明了采用此方法大大提高了可靠性灵敏度的计算精度,并为工程实际提供了更加可信的理论依据.
Based on the random perturbation technique of reliability sensitivity design, some realistic reliability-based sensitivity issues were discussed, with some of them having a structure of high nonlinear performance function. Combining the relating theories of moment method of reliability analysis, matrix differential and Kronecker algebra, the reliability-based sensitivity method based on perturbation method was modified, given that the first four moments of random variables. Meanwhile, a reliability-based sensitivity computing methodology also was put forward. Some examples were adopted to prove that using this methodology could highly improve the accuracy of reliability-based sensitivity computation and this methodology also offers some more dependable theoretic basis for engineering.
出处
《应用数学和力学》
CSCD
北大核心
2010年第10期1256-1266,共11页
Applied Mathematics and Mechanics
基金
"高档数控机床与基础制造装备"科技重大专项课题(2010ZX04014-014)
国家自然科学基金项目(50875039)
长江学者和创新团队发展计划
关键词
可靠度
灵敏度
非线性
摄动法
矩方法
reliability
sensitivity
non-linear
perturbation theory
moment method