A Hybrid Reliability Analysis Method with Mixture of Random and Dependent Interval Variables

被引：0
|
作者：
Xie S. [1 ]
Pan B. [1 ]
Luo L. [1 ]
Xiang Y. [1 ]
机构：
[1] College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou
来源：
Zhongguo Jixie Gongcheng/China Mechanical Engineering | 2019年 / 30卷 / 14期
关键词：
Dependent interval variable; Interval analysis algorithm; Multi-ellipsoid model; Reliability analysis;
D O I：
10.3969/j.issn.1004-132X.2019.014.006
中图分类号：
学科分类号：
摘要：
Considering the dependence between interval variables, an efficient hybrid reliability analysis method with the mixture of random and dependent interval variables was proposed based on the multi-ellipsoid model. To resolve the inefficiency of the hybrid reliability analysis due to dependent interval variables, a sequentially iterative strategy was adopted for decoupling the double-nest loop of the hybrid reliability analysis into the probability analysis and interval analysis. And an efficient interval analysis algorithm was developed by using polynomial interpolation, which was capable of efficiently handling the cases where the limit-state functions were monotonic or non-monotonic with respect to dependent interval variables.The results of numerical examples show that the proposed hybrid reliability analysis method has good accuracy and efficiency. © 2019, China Mechanical Engineering Magazine Office. All right reserved.
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页码：1673 / 1678and1683
相关论文
共 13 条
  • [1] Du X., Unified Uncertainty Analysis by the First Order Reliability Method, Journal of Mechanical Design, 130, 9, (2008)
  • [2] Liu S., Duan B., Yang D., Interval and Probability Based Analysis of Seizure-preventing for Synchronous Gears of the Astromesh Deployable Satellite Antenna, Journal of Xidian University(Natural Science), 43, 3, pp. 61-66, (2016)
  • [3] Liu H., Jiang C., Zheng J., Et al., A System Reliability Analysis Method for Structures with Probability and Interval Mixed Uncertainty, Chinese Journal of Theoretical and Applied Mechanics, 49, 2, pp. 456-466, (2017)
  • [4] Luo Y., Kang Z., Li A., Structural Reliability Assessment Based on Probability and Convex Set Mixed Model, Computers & Structures, 87, 21-22, pp. 1408-1415, (2009)
  • [5] Pan B., Xie S., Du X., Et al., A Sequential Iteration Algorithm for Reliability Analysis with Random and Dependent Interval Variables, China Mechanical Engineering, 26, 12, pp. 1569-1575, (2015)
  • [6] Hohenbichler M., Rackwitz R., Non-normal Dependent Vectors in Structural Safety, Journal of Engineering Mechanics Division, 107, 6, pp. 1127-1138, (1981)
  • [7] Ditlevsen O., Principle of Normal Tail Approximation, Journal of Engineering Mechanics Division, 107, 6, pp. 1191-1209, (1981)
  • [8] Rackwitz R., Flessler B., Structural Reliability under Combined Random Load Sequences, Computers & Structures, 9, 5, pp. 489-494, (1978)
  • [9] Hasofer A.M., Lind N.C., Exact and Invariant Second-moment Code Format, Journal of Engineering Mechanics Division, 100, 1, pp. 111-121, (1974)
  • [10] Ben-Haim Y., Convex Models of Uncertainty: Applications and Implications, Erkenntnis, 41, 2, pp. 139-156, (1994)
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