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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (10): 1325-1336.doi: https://doi.org/10.1007/s10483-010-1365-x

• Articles • 上一篇    

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

张义民 朱丽莎 王新刚   

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, P. R. China
  • 收稿日期:2010-02-26 修回日期:2010-07-23 出版日期:2010-10-01 发布日期:2010-10-01

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

ZHANG Yi-Min, ZHU Li-Sha, WANG Xin-Gang   

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, P. R. China
  • Received:2010-02-26 Revised:2010-07-23 Online:2010-10-01 Published:2010-10-01

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1121

被引次数

15

摘要： 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.

Abstract: 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.

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