An Efficient Mechanical Structure Reliability Analysis Method Based on Evidence Theory

被引:1
作者
Liu X. [1 ]
Gong M. [1 ]
Zhou Z. [1 ]
Li B. [2 ]
Dong J. [1 ]
机构
[1] Hunan Province Key Laboratory of Safety Design and Reliability Technology for Engineering Vehicle, Changsha University of Science and Technology, Changsha
[2] Key Laboratory of Education Ministry for Modern Design & Rotor-Bearing System, Xi'an Jiaotong University, Xi'an
来源
Zhongguo Jixie Gongcheng/China Mechanical Engineering | 2020年 / 31卷 / 17期
关键词
Approximation model; Evidence theory; Mechanical structure; Reliability;
D O I
10.3969/j.issn.1004-132X.2020.17.003
中图分类号
学科分类号
摘要
An efficient mechanical structure reliability analysis method was proposed based on combination of evidence theory and approximation model technology. Firstly, a corresponding mathematical model of reliability analysis was established based on evidence theory. Then, an approximate model of limit state functions was constructed by radial basis function. Local-densifying samples were used to improve the fitting accuracy of the approximationg model. Finally, the approximation reliability analysis problems were solved by the first-order approximation reliability analysis method, and the belief measures and plausibility measures of mechanical structure reliability were obtained. Computational results demonstrate that the method may ensure the accuracy of the calculation results, and improve the computational efficiency. © 2020, China Mechanical Engineering Magazine Office. All right reserved.
引用
收藏
页码:2031 / 2037
页数:6
相关论文
共 16 条
[1]  
XIE Liyang, Issues and Commentary on Mechanical Reliability Theories, Methods and Models, Journal of Mechanical Engineering, 50, 14, pp. 27-35, (2014)
[2]  
GOGU C, QIU Y, SEGONDS S., Optimization Based Algorithms for Uncertainty Propagation through Functions with Multidimensional Output within Evidence Theory, Journal of Mechanical Design, 134, 10, (2012)
[3]  
RACKWITZ R, FLESSLER B., Structural Reliability under Combined Random Load Sequences, Computers Strucures, 9, 5, pp. 489-494, (1978)
[4]  
JIANG Chao, FAN Song, ZHANG Zhe, Et al., An Efficient Probability-evidence Hybrid Reliability Analysis Method, Chinese Journal of Computational Mechanics, 33, 2, pp. 135-137, (2016)
[5]  
SHAFER G., A Mathematical Theory of Evidence, (1976)
[6]  
CAO L X, LIU J, HAN X, Et al., An Efficient Evidence-based Reliability Analysis Method via Piecewise Hyperplane Approximation of Limit State Function, Structural and Multidisciplinary Optimization, 58, 8, pp. 1-13, (2018)
[7]  
JIANG Chao, ZHANG Zhe, HAN Xu, Et al., A Structural Reliability Analysis Method Based on Evidence Theory, Theoretical and Applied Mechanics, 45, 1, pp. 103-115, (2012)
[8]  
YAN Jingni, TAO Yourui, LIU Jiangnan, A Reliability Design Method Based on Evidence Theory, Mechanical Science and Technology for Aerospace Engineering, 32, 7, pp. 977-981, (2013)
[9]  
FAN Song, JIANG Chao, ZHANG Zhe, Et al., A Structural Reliability Optimization Algorithm Based on Evidence Theory, Science China, 45, 7, pp. 706-716, (2016)
[10]  
CHEN Guodong, HAN Xu, LIU Guiping, Et al., Multi Objective Optimization of Vehicle Crashworthiness Based on Adaptive Radial Basis Function, China Mechanical Engineering, 22, 4, pp. 488-493, (2011)