Imprecise Probabilistic Reliability Analysis Method for Mechanism Based on Ellipsoid Model

被引：2
|
作者：
Tan Z. [1 ,2 ]
Pan J. [1 ]
Hu M. [1 ]
He Q. [1 ]
Chen W. [1 ]
机构：
[1] National and Local Joint Engineering Research Center of Reliability Analysis and Testing for Mechanical and Electrical Products, Zhejiang Sci-Tech University, Hangzhou
[2] Institute of Modern Design and Manufacture, China Jiliang University, Hangzhou
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2019年 / 55卷 / 02期
关键词：
Ellipsoid model; Imprecise probabilistic reliability; Non-probabilistic reliability; Uncertainty quantification;
D O I：
10.3901/JME.2019.02.168
中图分类号：
学科分类号：
摘要：
One common problem is a small sample of uncertain parameters in the reliability analysis of the space mechanism. In this case, the boundary of the sample data is normally smaller than the boundary of the parameter. It is questionable to conduct non-probabilistic reliability analysis by establishing interval or ellipsoid convex set models with sample data and adopting uniform distribution to simply quantify convex set variables. To address the weakness of non-probabilistic reliability methods, an imprecise probabilistic reliability analysis method based on ellipsoid model is put forward. A high dimension construction method of ellipsoid model based on sample features is established. The ellipsoid model is standardized into a sphere model. The uncertainty is quantified by the principle of indifference reduction, and the joint probability density function of variables is derived. An important sampling method based on ellipsoid model is used to solve the imprecise probability reliability. The accuracy and feasibility of the method has been verified by a numerical example and a project example. Achieved good balance between robustness and accuracy in reliability analysis, it can be used as a useful supplement to probabilistic reliability method. © 2019 Journal of Mechanical Engineering.
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页码：168 / 176
页数：8
相关论文
共 24 条
  • [1] Sun Z., Reliability Design and Analysis Technology for Mechanism Motion, (2015)
  • [2] Peng W., Zhang J., Wang P., Et al., Comprehensive reliability analysis of the aerospace mechanism with hybrid uncertainty information, Journal of Astronautics, 36, 5, pp. 596-604, (2015)
  • [3] Elishakoff I., Elisseeff P., Glegg S.A.L., Nonprobabilistic, convex-theoretic modeling of scatter in material properties, Aiaa Journal, 32, 4, pp. 843-849, (2012)
  • [4] Jiang C., Zhang Q.F., Han X., Et al., Multidimensional parallelepiped model: A new type of non-probabilistic convex model for structural uncertainty analysis, International Journal for Numerical Methods in Engineering, 103, 1, pp. 31-59, (2015)
  • [5] Wang P., Zhang J., Kan L., Et al., Time variant reliability approach with time-variant interval and upcrossing model, Journal of Mechanical Engineering, 53, 11, pp. 1-9, (2017)
  • [6] Zheng J., Luo Z., Jiang C., Et al., Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model, Structural & Multidisciplinary Optimization, 1, pp. 1-17, (2017)
  • [7] Karuna K., Manohar C.S., Inverse problems in structural safety analysis with combined probabilistic and non-probabilistic uncertainty models, Engineering Structures, 150, pp. 166-175, (2017)
  • [8] Yang Z., Zhang Y., Meng W., Et al., A convex model approach for structure non-probabilistic reliability analysis, Journal of Risk & Reliability, 231, 10, pp. 1-8, (2017)
  • [9] Ben-Haim Y., A non-probabilistic concept of reliability, Structural Safety, 14, 4, pp. 227-245, (1994)
  • [10] Ben-Haim Y., Elishakoff I., Discussion on: A non-probabilistic concept of reliability, Structural Safety, 17, 3, pp. 195-199, (1995)
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