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工程设计学报
工程设计学报  2018, Vol. 25 Issue (4): 394-401    DOI: 10.3785/j.issn.1006-754X.2018.04.005
设计理论与方法学     
基于梯形模糊数的数控磨床砂轮架系统故障树分析
刘英1, 肖杨亮1, 张根保1,2, 冉琰1,2, 李立章1
1. 重庆大学 机械工程学院, 重庆 400044;
2. 重庆大学 机械传动国家重点实验室, 重庆 400044
Fault tree analysis of grinding wheel rack system of CNC grinder based on trapezoidal fuzzy number
LIU Ying1, XIAO Yang-liang1, ZHANG Gen-bao1,2, RAN Yan1,2, LI Li-zhang1
1. College of Mechanical Engineering, Chongqing University, Chongqing 400044, China;
2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China
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摘要：

数控磨床砂轮架系统故障树分析中的一大难点是确定基本事件的发生概率，基本事件的发生情况存在模糊性且由于时间和成本的限制往往无法通过实验获得足够的可靠性数据。为了解决这一问题，引入模糊集合论，用梯形模糊数来描述故障树分析中的基本事件和顶事件的发生概率。首先对数控磨床砂轮架系统的结构层次进行分析，建立砂轮架系统的故障树。然后以砂轮架系统主轴振动异响为例进行模糊故障树分析，求解顶事件发生概率的梯形模糊数；并类比传统故障树分析中"临界重要度"的概念，定义适用于模糊故障树分析的"模糊临界重要度"。最后根据求解的模糊临界重要度对基本事件进行排序，确定危害程度较高的基本事件，结果与企业的实际情况相符合。结果表明该方法能够有效解决数控磨床故障树分析中基本事件难于准确赋值的问题，为企业提高机械系统的可靠性提供了一种定量依据。
关键词： 梯形模糊数;  故障树分析;  砂轮架系统;  模糊临界重要度    
Abstract:

Calculating the basic event probabilities of failure trees is a heavy difficulty in FTA (failure tree analysis) of grinding wheel rack system of CNC (computer numerical control) grinder, because basic events are fuzzy and it is almost impossible to get enough reliability data by experiments with limited time and cost. In order to solve the problem, the fuzzy set theory was introduced and trapezoidal fuzzy numbers were utilized to describe the occurrence probabilities of basic event and top event in FTA. Firstly, the hierarchical structure of grinding wheel rack system of CNC grinder was analyzed, and the failure tree of grinding wheel rack system was established. Then, FFTA (fuzzy failure tree analysis) was made to calculate the trapezoidal fuzzy numbers of occurrence probability of top event by taking the spindle vibration sound of grinding wheel rack system as an example. According to the concept of critical importance in traditional FTA, the fuzzy critical importance for FFTA was firstly defined. Finally, the basic events were ranked according to the fuzzy critical importance, and the basic events with high degree of harm were determined. The results were consistent with the actual situation of the enterprise. The results indicate that this method can effectively solve the problem of confirming accuracy numerical value in FTA of CNC grinder, and provide quantitative calculating evidence to enhance mechanical system reliability for enterprise.
Key words: trapezoidal fuzzy number    fault tree analysis    grinding wheel rack system    fuzzy critical importance
收稿日期: 2017-10-09 出版日期: 2018-08-28
CLC:  TG596  
基金资助:

国家自然科学基金资助项目（51575070）；国家科技重大专项（2013ZX04011-013，2015ZX04003-003，2016ZX04004-005）
通讯作者: 冉琰(1988-),女,重庆人,讲师,博士,从事现代质量工程、数控机床可靠性技术研究,E-mail:ranyan@cqu.edu.cn,https://orcid.org/0000-0002-7820-1094     E-mail: ranyan@cqu.edu.cn
作者简介: 刘英(1965-),女,重庆人,教授,博士,从事机械制造工艺、数控机床可靠性等研究,E-mail:liuyingu6682@163.com
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引用本文:

刘英, 肖杨亮, 张根保, 冉琰, 李立章. 基于梯形模糊数的数控磨床砂轮架系统故障树分析[J]. 工程设计学报, 2018, 25(4): 394-401.

LIU Ying, XIAO Yang-liang, ZHANG Gen-bao, RAN Yan, LI Li-zhang. Fault tree analysis of grinding wheel rack system of CNC grinder based on trapezoidal fuzzy number[J]. Chinese Journal of Engineering Design, 2018, 25(4): 394-401.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2018.04.005    或    https://www.zjujournals.com/gcsjxb/CN/Y2018/V25/I4/394

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