Research on Fuzzy Reliability Allocation for CNC Grinding Machine Based on Combined Weight
-
摘要: 可靠性分配是集工程决策、多因素综合权衡和过程优化的复杂问题。针对影响可靠性分配的因素具有不确定性的特点及其影响程度也具有模糊性等特点,提出一种将熵权法和模糊层次分析法结合的主客观组合赋权法。以数控磨床整机为例,考虑系统的故障频繁性、故障危害性、复杂性、维修性、技术水平和费效比6个影响可靠性分配的因素,根据最小鉴别信息原理建立数控磨床的可靠性目标函数,通过拉格朗日乘子法求解得到影响因素的组合权重,采用基于组合权重的模糊综合分配法,求得可靠性分配结果,与实际积累的数据进行对比,验证了该方法的可行性和有效性。Abstract: Reliability allocation is a collection problem of engineering decision, multi factor comprehensive balance and process optimization. According to the factors affecting reliability allocation and their weights with the uncertainty, we put forward a subjective and objective combination weighting method coupling the entropy method and fuzzy analytic hierarchy process (FAHP) method. Taking CNC grinding machine as an example, considering the system failure frequency, harmfulness, complexity, maintainability, technical level and the ratio of cost to performance, firstly, we establish the reliability objective function based on the minimum discrimination information principle, and employ the Lagrange multiplier method to get the combined weights of the six factors. Then the fuzzy comprehensive allocation method based on the combined weights method was used to obtain the reliability allocation results, which was compared with the actual accumulated data, therefore, the feasibility and effectiveness of the present method was verified.
-
Key words:
- analytic hierarchy process /
- costs /
- decision making /
- efficiency /
- entropy
-
[1] 张义民.机械可靠性设计的内涵与递进[J].机械工程学报,2010,46(14):167-188 Zhang Y M. Connotation and development of mechanical reliability-based design[J]. Journal of Mechanical Engineering, 2010,46(14):167-188 (in Chinese) [2] Price C J, Taylor N S. FMEA for multiple failures[C]//IEEE Proceeding Maintenance Symposium, Shanghai: Publication Press, 1998:43-47 [3] 杨兆军,郝庆波,陈菲,等.基于区间分析的数控机床可靠性模糊综合分配方法[J].北京工业大学学报,2011,37(3):321-329 Yang Z J, Hao Q B, Chen F, et al. A comprehensive fuzzy reliability allocation method of NC machine tools based on interval analysis[J]. Journal of Beijing University of Technology, 2011,37(3):321-329 (in Chinese) [4] Wang Y Q, Yam R C M, Zuo M J, et al. A comprehensive reliability allocation method for design of CNC lathes[J]. Reliability Engineering & System Safety, 2001,72(3):247-252 [5] Park K S. Fuzzy apportionment of system reliability[J]. IEEE Transactions on Reliability, 1987,36(1):129-132 [6] 赵德孜,温卫东,段成美.机械系统设计初期可靠度模糊分配方法的研究[J].机械科学与技术,2005,24(7):852-856 Zhao D Z, Wen W D, Duan C M. Study on fuzzy apportionment of mechanical system reliability during conceptual design[J]. Mechanical Science and Technology, 2005,24(7):852-856 (in Chinese) [7] 张根保,柳剑,王国强.基于任务的数控机床模糊可靠性分配方法[J].计算机集成制造系统,2012,18(4):768-774 Zhang G B, Liu J, Wang G Q. Fuzzy reliability allocation of CNC machine tools based on task[J]. Computer Integrated Manufacturing Systems, 2012,18(4):768-774 (in Chinese) [8] 俞峰,杨成梧.基于熵权的多传感器工况识别模糊评判[J].工业仪表与自动化装置,2006,(6):3-5 Yu F, Yang C W. Fuzzy evaluation based on entropy weight for multi-sensor judgment of operating mode[J]. Industrial Instrumentation & Automation, 2006,(6):3-5 (in Chinese) [9] 朱德馨,刘宏昭.基于改进的模糊层次分析法的电主轴可靠性分配[J].中国机械工程,2011,22(24):2923-2927 Zhu D X, Liu H Z. Reliability allocation of high speed motorized spindle based on improved fuzzy AHP method[J]. China Mechanical Engineering, 2011,22(24):2923-2927 (in Chinese) [10] 曾照辉,郭云健,焦国太.熵理论在正态分布零件模糊可靠性设计上的应用[J].煤矿机械,2010,31(1):32-34 Zeng Z H, Guo Y J, Jiao G T. Fuzzy reliability design on the parts which obey normal distribution based on entropy theory[J]. Coal Mine Machinery, 2010,31(1):32-34 (in Chinese) [11] 梁庆卫,宋保维,毛昭勇.系统可靠性模糊分配的熵权方法[J].火力与指挥控制,2005,30(7):73-76 Liang Q W, Song B W, Mao Z Y. Reliability fuzzy distribution method based on entropy weight[J]. Fire Control and Command Control, 2005,30(7):73-76 (in Chinese) [12] 骆正清,杨善林.层次分析法中几种标度的比较[J].系统工程理论与实践,2004,24(9):51-60 Luo Z Q, Yang S L. Comparative study on several scales in AHP[J].Chinese Journal of Systems Engineering-Theory & Practice, 2004,24(9):51-60 (in Chinese) [13] 朱雪龙.应用信息论基础[M].北京:清华大学出版社,2001 Zhu X L. Fundamentals of applied information theory[M]. Beijing: Tsinghua University Press, 2001 (in Chinese) [14] 宋保维,徐德民.系统可靠性分配的模糊数学方法[J].西北工业大学学报,1998,16(2):271-275 Song B W, Xu D M. On improving reliability of complex engineering system with an allocation method based on fuzzy theory[J]. Journal of Northwestern Polytechnical University, 1998,16(2):271-275 (in Chinese) [15] 郝庆波.数控机床可靠性及维修性的模糊综合分配与预计[D].长春:吉林大学,2012 Hao Q B. Fuzzy comprehensive allocation and prediction for NC machine tools reliability and maintainability[D]. Changchun: Jilin University, 2012 (in Chinese)
点击查看大图
计量
- 文章访问数: 131
- HTML全文浏览量: 22
- PDF下载量: 9
- 被引次数: 0