连续时间T-S动态故障树分析方法

doi:10.3901/JME.2020.10.244

机械工程学报 ›› 2020, Vol. 56 ›› Issue (10): 244-256.doi: 10.3901/JME.2020.10.244

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连续时间T-S动态故障树分析方法

姚成玉¹, 王传路¹, 陈东宁^2,3, 魏星¹, 吕世君^2,3

1. 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;
2. 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;
3. 先进锻压成型技术与科学教育部重点实验室(燕山大学) 秦皇岛 066004

收稿日期:2019-06-27 修回日期:2019-11-09 出版日期:2020-05-20 发布日期:2020-06-11
通讯作者: 姚成玉(通信作者),男,1975年出生,博士后,教授。主要研究方向为系统可靠性及故障诊断。E-mail:chyyao@ysu.edu.cn
作者简介:王传路,男,1992年出生,硕士研究生。主要研究方向为动态故障树;陈东宁,女,1978年出生,博士,副教授。主要研究方向为可靠性分析及优化;魏星,男,1994年出生,硕士研究生。主要研究方向为动态故障树;吕世君,男,1975年出生,博士,助理研究员。主要研究方向为系统可靠性。
基金资助:
国家自然科学基金（51675460、51975508）和中国博士后科学基金（2017M621101）资助项目。

Continuous-time T-S Dynamic Fault Tree Analysis Method

YAO Chengyu¹, WANG Chuanlu¹, CHEN Dongning^2,3, WEI Xing¹, Lü Shijun^2,3

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

Received:2019-06-27 Revised:2019-11-09 Online:2020-05-20 Published:2020-06-11

摘要/Abstract

摘要： 相对于DUGAN动态故障树分析方法，离散时间T-S动态故障树分析方法增强了故障树描述静、动态失效行为的能力，且可以直接定量分析，但存在分析计算误差、且不能反映系统可靠度变化趋势。为此，提出连续时间T-S动态故障树分析方法。定义描述静、动态失效行为的连续时间T-S动态门，提出基于下级事件时序关系及事件发生冲激函数描述与上级事件发生可能性的连续时间T-S动态门描述规则构建方法，利用冲激函数冲激点的积分特性，进而提出基于描述规则执行度与上级事件发生可能性及冲激函数积分的上级事件故障概率密度函数和故障概率分布函数的分析计算方法。所提连续时间T-S动态故障树分析方法具有相对于DUGAN动态故障树分析方法更强的失效行为描述能力，解决了离散时间T-S动态故障树分析方法的分析计算误差问题、且能反映系统故障概率变化。通过与基于Markov链、离散时间贝叶斯网络、连续时间贝叶斯网络的DUGAN动态故障树分析方法及离散时间T-S动态故障树分析方法进行对比，验证了所提出的连续时间T-S动态故障树分析方法具有可行性，且更有优势。

关键词: 故障树, 动态故障树, T-S动态故障树, T-S动态门, 连续时间

Abstract: Compared with DUGAN dynamic fault tree analysis method, discrete-time T-S dynamic fault tree analysis method enhances the ability of the fault tree to describe static and dynamic failure behavior, and can directly analyze a system directly quantitatively, but it has analysis and calculation errors, and can not reflect the change trend of system reliability. To this end, continuous-time T-S dynamic fault tree analysis method is proposed. The continuous-time T-S dynamic gates describing static and dynamic failure behavior are defined, a method of constructing continuous-time T-S dynamic gates describing rules based on the temporal relationship of lower-level events and the description of events occurrence impulse function and the possibility of higher-level event occurrence is proposed by using the integral characteristic of impulse function at impulse point. Then analysis and calculation methods based on the description of the rule execution degree and the possibility of the higher-event and the higher-event failure probability density function and the failure probability distribution function of the impulse function integration are proposed. The proposed continuous-time T-S dynamic fault tree analysis method has stronger failure behavior description ability than DUGAN dynamic fault tree analysis method, it solves the problem of analysis and calculation errors of discrete-time T-S dynamic fault tree analysis method and can reflect the change trend of system failure probability. Compared with Markov chain, discrete-time Bayesian network, continuous-time Bayesian network solving DUGAN dynamic fault tree and discrete-time T-S dynamic fault tree analysis method, the feasibility of continuous-time T-S dynamic fault tree analysis method is verified and continuous-time T-S dynamic fault tree analysis method has more advantages.

Key words: fault tree, dynamic fault tree, T-S dynamic fault tree, T-S dynamic gate, continuous-time

中图分类号:

TB114
TH137

姚成玉, 王传路, 陈东宁, 魏星, 吕世君. 连续时间T-S动态故障树分析方法[J]. 机械工程学报, 2020, 56(10): 244-256.

YAO Chengyu, WANG Chuanlu, CHEN Dongning, WEI Xing, Lü Shijun. Continuous-time T-S Dynamic Fault Tree Analysis Method[J]. Journal of Mechanical Engineering, 2020, 56(10): 244-256.

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连续时间T-S动态故障树分析方法

Continuous-time T-S Dynamic Fault Tree Analysis Method

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