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.
引用
收藏
页码：168 / 176
页数：8
相关论文
共 24 条
  • [11] Guo S., Lu Z., A procedure of the analysis of non-probabilistic reliability of structural systems, Chinese Journal of Computational Mechanics, 19, 3, pp. 332-335, (2002)
  • [12] Wang X., Wang L., Elishakoff I., Et al., Probability and convexity concepts are not antagonistic, Acta Mechanica, 219, 1, pp. 45-64, (2011)
  • [13] Li K., Yang Z., Sun W., New hybrid convex model and probability reliability method for structures, Journal of Mechanical Engineering, 48, 14, pp. 192-198, (2012)
  • [14] Jiang C., Bi R.G., Lu G.Y., Et al., Structural reliability analysis using non-probabilistic convex model, Computer Methods in Applied Mechanics & Engineering, 254, 2, pp. 83-98, (2013)
  • [15] Jiang C., Han S., Ji M., Et al., A new method to solve the structural reliability index based on homotopy analysis, Acta Mechanica, 226, 4, pp. 1067-1083, (2015)
  • [16] Bi R., Non-probabilistic uncertainty convex model and reliability analysis method incorporating correlation, (2015)
  • [17] Wang P., Zhang J., Zhai H., Et al., A new structural reliability index based on uncertainty theory, Chinese Journal of Aeronautics, 30, 4, pp. 1451-1458, (2017)
  • [18] Li Y., Huang H., Liu Z., Convex model in robust reliability analysis of structure, Journal of Basic Science and Engineering, 12, 4, pp. 383-391, (2004)
  • [19] Ben-Heim Y., Maximum structural response using convex models, Journal of Engineering Mechanics, 122, 4, pp. 325-333, (1996)
  • [20] Wang X., Qiu Z., Wu Z., Non- probabilistic set-based model for structural reliability, Chinese Journal of Theoretical and Applied Mechanics, 39, 5, pp. 641-646, (2007)
123