Reliability Analysis of Multi-state Hydraulic System Based on T-S Fuzzy Fault Tree and Bayesian Network

China Mechanical Engineering ›› 2013, Vol. 24 ›› Issue (07): 899-905.

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Reliability Analysis of Multi-state Hydraulic System Based on T-S Fuzzy Fault Tree and Bayesian Network

Chen Dongning1,2;Yao Chengyu3;Dang Zhen3

1.Key Lab of Heavy Machinery Fluid Power Transmission and Control of Hebei Province,Yanshan University, Qinhuangdao,Hebei,066004
2.Key Laboratory of Advanced Forging & Stamping Technology and Science,Ministry of Education,Yanshan University,Qinhuangdao,Hebei,066004
3.Key Lab of Industrial Computer Control Engineering of Hebei Province,Yanshan University,Qinhuangdao,Hebei,066004

Online:2013-04-10 Published:2013-04-27
Supported by:

National Natural Science Foundation of China（No. 50905154）;

Hebei Provincial Natural Science Foundation of China（No. E2012203015）;

Hebei Provincial Scientific Research Project of Ministry of Education of China（No. ZH2012062）;
Key Technology R&D Program of Qinhuangdao（No. 2012021A078）

基于T-S模糊故障树和贝叶斯网络的多态液压系统可靠性分析

陈东宁1,2;姚成玉3;党振3

1.燕山大学河北省重型机械流体动力传输与控制重点实验室,秦皇岛,066004
2.燕山大学先进锻压成形技术与科学教育部重点实验室,秦皇岛,066004
3.燕山大学河北省工业计算机控制工程重点实验室,秦皇岛,066004

基金资助:
国家自然科学基金资助项目(50905154)；河北省自然科学基金资助项目(E2012203015)；河北省教育厅科研项目(ZH2012062)；秦皇岛市科技支撑计划资助项目(2012021A078)
National Natural Science Foundation of China（No. 50905154）;

Hebei Provincial Natural Science Foundation of China（No. E2012203015）;

Hebei Provincial Scientific Research Project of Ministry of Education of China（No. ZH2012062）;
Key Technology R&D Program of Qinhuangdao（No. 2012021A078）

Abstract

Abstract:

In order to solve the disadvantages of calculation complexity and single inference of T-S fuzzy fault tree analysis method in hydraulic system reliability analysis, a reliability analysis method of multi-state hydraulic system based on T-S fault tree and Bayesian network was proposed. The model structure and conditional probability table of Bayesian network were determined according to the method of converting T-S fuzzy fault tree to Bayesian network; the probability of top event, posterior probability of events and importance of basic events were computed by means of inference algorithms of Bayesian network. The method can calculate the system reliability indices and importance by forward inference, as well as carry out fault diagnosis by backward inference, and the calculation formula is simple. Finally, the feasibility and effectiveness of the proposed method were illustrated by the engineering example of hydraulic driven system of the 900t gantry-crane.

Key words: multi-state, hydraulic system, reliability analysis, T-S fuzzy fault tree, Bayesian network

摘要：

为解决T-S模糊故障树分析方法在液压系统可靠性分析过程中运算复杂和只能单向推理的问题,提出一种基于T-S模糊故障树与贝叶斯网络的多态系统可靠性分析方法。根据给出的T-S模糊故障树向贝叶斯网络转化的方法确定贝叶斯网络的模型结构与条件概率表,利用贝叶斯网络的推理算法计算顶事件发生概率、事件后验概率以及底事件重要度。该方法既能进行计算系统可靠性指标及重要度的前向推理,又能进行故障诊断的反向推理,而且计算公式简单。最后通过900t提梁机液压驱动系统工程实例验证了算法的可行性与有效性。

关键词: 多态, 液压系统, 可靠性分析, T-S模糊故障树, 贝叶斯网络

CLC Number:

CHEN Dong-Ning-1, 2, TAO Cheng-Yu-3, DANG Zhen-3. Reliability Analysis of Multi-state Hydraulic System Based on T-S Fuzzy Fault Tree and Bayesian Network[J]. China Mechanical Engineering, 2013, 24(07): 899-905.

陈东宁1, 2, 姚成玉3, 党振3. 基于T-S模糊故障树和贝叶斯网络的多态液压系统可靠性分析[J]. 中国机械工程, 2013, 24(07): 899-905.

References

[1]Brooke P J, Paige R F. Fault Trees for Security System Design and Analysis[J]. Computers and Security, 2003, 22(3): 256-264.
[2]Song H, Zhang H Y, Chan C W. Fuzzy Fault Tree Analysis Based on T-S Model with Application to INS/GPS Navigation System[J]. Soft Computing, 2009, 13(1): 31-40.
[3]姚成玉，赵静一．基于T-S模型的液压系统模糊故障树分析方法研究[J]．中国机械工程，2009，20(16)：1913-1917.
Yao Chengyu, Zhao Jingyi. Research on Fuzzy Fault Tree Analysis Method for Hydraulic System Based on T-S Model[J]. China Mechanical Engineering, 2009, 20(16): 1913-1917.
[4]姚成玉，张荧驿，王旭峰，等．T-S模糊故障树重要度分析方法[J]．中国机械工程，2011，22(11)：1261-1268.
Yao Chengyu, Zhang Yingyi, Wang Xufeng, et al. Importance Analysis Method of Fuzzy Fault Tree Based on T-S Model[J]. China Mechanical Engineering, 2011, 22(11): 1261-1268.
[5]Langseth H, Portinale L. Bayesian Networks in Reliability[J]. Reliability Engineering and System Safety, 2007, 92(1): 92-108.
[6]杨昌昊，竺长安，胡小建．基于贝叶斯网的复杂系统故障诊断方法[J]．中国机械工程，2009，20(22)：2726-2732.
Yang Changhao, Zhu Chang’an, Hu Xiaojian. Methods on Complex System Fault Diagnosis Based on Bayesian Network[J]. China Mechanical Engineering, 2009, 20(22): 2726-2732.
[7]Khakzad N, Khan F, Amyotte P. Safety Analysis in Process Facilities: Comparison of Fault Tree and Bayesian Network Approaches[J]. Reliability Engineering and System Safety, 2011, 96(8): 925-932.
[8]Wilson A G, Huzurbazar A V. Bayesian Networks for Multilevel System Reliability[J]. Reliability Engineering and System Safety, 2007, 92(10): 1413-1420.
[9]周忠宝，马超群，周经伦．贝叶斯网络在多态系统可靠性分析中的应用[J]．哈尔滨工业大学学报，2009，41(6)：232-235.
Zhou Baozhong, Ma Chaoqun, Zhou Jinglun. Application of Bayesian Networks in Reliability Analysis of Binary-state System with Multi-state Components[J]. Journal of Harbin Institute of Technology, 2009, 41(6): 232-235.
[10]王广彦，马志军，胡起伟．基于贝叶斯网络的故障树分析[J]．系统工程理论与实践，2004，24(6)：78-83.
Wang Guangyan, Ma Zhijun, Hu Qiwei. The Fault Tree Analysis Based on Bayesian Networks[J]. System Engineering——Theory & Practice, 2004, 24(6): 78-83.
[11]尹晓伟，钱文学，谢里阳．基于贝叶斯网络的多状态系统可靠性建模与评估[J]．机械工程学报，2009，45(2)：206-212.
Yin Xiaowei, Qian Wenxue, Xie Liyang. Multi-state System Reliability Modeling and Assessment Based on Bayesian Networks[J]. Journal of Mechanical Engineering, 2009, 45(2): 206-212.
[12]赵静一，姚成玉．液压系统可靠性工程[M]．北京：机械工业出版社，2011.

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Reliability Analysis of Multi-state Hydraulic System Based on T-S Fuzzy Fault Tree and Bayesian Network

基于T-S模糊故障树和贝叶斯网络的多态液压系统可靠性分析

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