T-S动态故障树分析方法

doi:10.3901/JME.2019.16.017

机械工程学报 ›› 2019, Vol. 55 ›› Issue (16): 17-32.doi: 10.3901/JME.2019.16.017

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T-S动态故障树分析方法

姚成玉¹, 饶乐庆^2,3, 陈东宁^2,3, 侯鑫^2,3, 吕世君^2,3, 于传宇^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:2018-12-03 修回日期:2019-06-11 出版日期:2019-08-20 发布日期:2019-08-20
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:饶乐庆,男,1991年出生。主要研究方向为系统可靠性。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。E-mail:dnchen@ysu.edu.cn;侯鑫,男,1993年出生。主要研究方向为系统可靠性;吕世君,男,1975年出生,讲师,博士研究生。主要研究方向为系统可靠性。于传宇,男,1990年出生。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）、中国博士后科学基金（2017M621101）和河北省自然科学基金（E2016203306）资助项目。

T-S Dynamic Fault Tree Analysis Method

YAO Chengyu¹, RAO Leqing^2,3, CHEN Dongning^2,3, HOU Xin^2,3, Lü Shijun^2,3, YU Chuanyu^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:2018-12-03 Revised:2019-06-11 Online:2019-08-20 Published:2019-08-20

摘要/Abstract

摘要： DUGAN动态故障树由静态子树和动态子树组成，静态子树为传统故障树并用与、或门等传统逻辑门描述静态失效行为，动态子树用优先与门、功能相关门、顺序相关门、备件门等动态逻辑门描述动态失效行为。相对于传统故障树，T-S故障树可以刻画任意形式的组合、多态等静态失效行为，但仍不能刻画系统的动态失效行为。为进一步增强故障树描述静、动态失效逻辑的能力，提出了T-S动态故障树分析方法，首先定义并提出了描述静、动态逻辑关系的T-S动态门及描述T-S动态门的时间状态规则和事件发生规则构建方法，进而提出了基于T-S动态门输入、输出规则算法的T-S动态故障树分析求解计算方法。T-S动态故障树的T-S动态门规则可无限逼近现实系统的失效行为，不仅可以描述DUGAN动态门所刻画的动态失效行为，还可以描述DUGAN动态门不能刻画的静、动态失效行为。最后，将T-S动态故障树分析方法分别与离散时间贝叶斯网络、Markov链和顺序二元决策图求解DUGAN动态故障树的方法进行对比，验证了所提方法的可行性和计算的简便性。

关键词: T-S动态故障树, T-S动态门, T-S动态门规则, 动态故障树, 故障树

Abstract: DUGAN dynamic fault tree is composed of static subtree and dynamic subtree. The static subtree is traditional fault tree, which uses traditional logic gates such as AND, OR gate and so on to describe static failure behaviors. The dynamic subtree uses dynamic logic gates such as the priority AND gate, the functional dependency gate, the sequence enforcing gate, the spare gate and so on to describe dynamic failure behaviors. Compared with traditional fault tree, T-S fault tree can describe any combinational and multi-state static failure behaviors, but it still can not describe the system consisting of dynamic failure behaviors. To improve the ability to describe combination of any static and dynamic failure behaviors, T-S dynamic fault tree analysis method is proposed. First, T-S dynamic gate that describes static and dynamic logic relationship is defined and construction method of T-S dynamic gate rule including time state rule and event occurrence rule is proposed and T-S dynamic fault tree analysis and calculation method based on T-S dynamic gate input and output rules algorithm is proposed. T-S dynamic gate rule can infinitely approximate the failure behaviors of the real system. It can not only describe the dynamic failure behaviors described by DUGAN dynamic gates, but also describe the static and dynamic failure behaviors that DUGAN dynamic gates cannot describe. Finally the feasibility and calculation simplicity of the proposed method are verified by comparing with discrete-time Bayesian networks, Markov chains and sequential binary decision diagrams solving DUGAN dynamic fault tree.

Key words: dynamic fault tree, fault tree, T-S dynamic fault tree, T-S dynamic gate, T-S dynamic gate rule

中图分类号:

TB114
TH137

姚成玉, 饶乐庆, 陈东宁, 侯鑫, 吕世君, 于传宇. T-S动态故障树分析方法[J]. 机械工程学报, 2019, 55(16): 17-32.

YAO Chengyu, RAO Leqing, CHEN Dongning, HOU Xin, Lü Shijun, YU Chuanyu. T-S Dynamic Fault Tree Analysis Method[J]. Journal of Mechanical Engineering, 2019, 55(16): 17-32.

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T-S动态故障树分析方法

T-S Dynamic Fault Tree Analysis Method

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