Advanced method to estimate reliability-based sensitivity of mechanical components with strongly nonlinear performance function

Based on the random perturbation technique for reliability sensitivity design,some realistic reliability-based sensitivity issues are discussed,some of which have a structure of high nonlinear performance functions.Combining the related theories of the moment method of the reliability analysis,the m...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2010-10, Vol.31 (10), p.1325-1336
Main Author: 张义民 朱丽莎 王新刚
Format: Article
Language:English
Subjects:
Algebra
Applications of Mathematics
Classical Mechanics
Computation
Design engineering
Fluid- and Aerodynamics
Kronecker代数
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Mechanical components
Nonlinearity
Partial Differential Equations
Perturbation methods
可靠性分析方法
可靠性灵敏度
机械部件
随机变量
非线性功能函数
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Summary:Based on the random perturbation technique for reliability sensitivity design,some realistic reliability-based sensitivity issues are discussed,some of which have a structure of high nonlinear performance functions.Combining the related theories of the moment method of the reliability analysis,the matrix differential,and the Kronecker algebra,the reliability-based sensitivity method based on the perturbation method is modified if the first four moments of random variables are given.Meanwhile,a reliability-based sensitivity computation method is proposed.Some examples are used to show that using this method can effectively improve the accuracy of the reliability-based sensitivity computation and offer a reliable theoretic basis in engineering.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-010-1365-x