• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报

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凸模型T-S故障树及重要度分析方法

姚成玉1,  吕军2,3,  陈东宁2,3,  李硕2,3   

  1. 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. 先进锻压成形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:2014-12-23 修回日期:2015-06-01 出版日期:2015-12-15 发布日期:2015-12-15
  • 通讯作者: 姚成玉,男,1975年出生,博士,教授。主要研究方向为可靠性工程、故障诊断与智能优化。 E-mail:chyyao@ysu.edu.cn
  • 作者简介:姚成玉,男,1975年出生,博士,教授。主要研究方向为可靠性工程、故障诊断与智能优化。 E-mail:chyyao@ysu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(51405426)

Convex Model T-S Fault Tree and Importance Analysis Methods

YAO Chengyu1, LÜ Jun2,3, CHEN Dongning2,3, LI Shuo2,3   

  1. 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:2014-12-23 Revised:2015-06-01 Online:2015-12-15 Published:2015-12-15

摘要: 针对故障数据缺乏、故障机理复杂多样等原因导致T-S故障树底事件的失效可能性具有不确定性的问题,以及概率和模糊T-S故障树以及布尔逻辑门故障树适用性的不足,提出凸模型T-S故障树及重要度分析方法:将区间模型引入到T-S故障树分析方法中,利用区间模型描述底事件的失效可能性,提出区间T-S故障树分析方法,解决底事件的失效可能性不易精确获取的问题;在此基础上,引入超椭球模型来界定不确定性参量的取值范围,进而提出超椭球T-S故障树分析方法,解决区间T-S故障树在进行可靠性分析时,分析结果相对保守的问题;进而,定义凸模型T-S故障树的重要度指标,为找到系统的关键环节提供依据;求解出上级事件的失效可能性、底事件的T-S凸模型重要度和T-S凸模型关键重要度,通过与凸模型布尔逻辑门故障树、T-S故障树进行对比,验证所提方法的可行性。最后,给出了组合导航系统可靠性分析实例。

关键词: T-S故障树, 可靠性分析, 凸模型, 重要度

Abstract: In order to solve the uncertainty of basic events’ failure possibilities in T-S fault tree due to poor fault data and complex fault mechanisms, and overcome applicability shortcomings of probability and fuzzy T-S fault tree and Boolean logic gate fault tree, convex model T-S fault tree and importance analysis methods are proposed: Interval T-S fault tree is proposed, which combines interval model with T-S fault tree and utilizes interval model to describe the failure probabilities of basic events as not easy to obtain accurately; On this basis, hyper-ellipsoid T-S fault tree is proposed, which utilizes hyper-ellipsoid model to define the ranges of the uncertain parameters to improve the relatively conservative reliability indices calculated by the interval T-S fault tree method; Then the importance indices of convex model T-S fault tree are presented to provide basis for finding the key link of the system; The failure possibilities of super events and T-S convex model importance and T-S convex model criticality importance of basic events are obtained, and the feasibility of the proposed methods are proved by comparing with convex model Boolean logic gate fault tree and T-S fault tree methods. At last, the proposed convex model T-S fault tree and importance analysis methods are applied to reliability analysis of an integrated navigation system.

Key words: convex model, importance, reliability analysis, T-S fault tree