基于信息熵与Lempel-Ziv的拧紧设备性能评估方法
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摘要
拧紧设备在工作过程中随性能退化会出现拧紧质量随机波动和性能状态无序性增加等现象,定量刻画拧紧设备性能的随机波动性和状态无序性是评估拧紧设备性能的关键。应用信息熵和Lempel-Ziv算法对表征二者的性能指标进行复杂性测度分析,以性能复杂度评估拧紧设备的性能退化水平。首先,选取拧紧设备性能指标进行状态划分,并应用信息熵理论建立拧紧性能的复杂性测度模型,以量化拧紧设备性能的随机波动程度;其次,基于Lempel-Ziv算法对拧紧设备性能进行复杂性测度分析,给出衡量性能指标无序程度的描述方法;最后,应用实例对扭矩和角度指标分别进行测算和对比分析,验证所提方法的有效性。结果表明,扭矩和角度指标的评估结果一致表现出相似的设备退化趋势。基于信息熵和Lempel-Ziv算法的评估结果反映出不同的特点,分别从随机波动性和状态无序性两个维度衡量了拧紧设备的性能退化状况。
There are quality issues such as the stochastic volatility of tightening performance and the decline of the tighten quality stability in the operating process in tightening equipment.For the quantitative characterization of the degree of performance stochastic volatility and disorderly state,information entropy and Lempel-Ziv algorithm complexity of both indexes are applied respectively in this approach to characterize the performance.First,the tightening performance indicators are divided into several states,and the mathematical model of the tightening performance complexity is established based on information entropy theory in order to quantify the random fluctuations extent of tightening performance.Meanwhile,the performance complexity of tightening equipment is also measured based on the Lempel-Ziv algorithm,which gives an approach to describing the disorder of the performance.Finally,the proposed approach is used in an example and the torque and angle data are comparatively analyzed to verify the validity of the proposed approach in the example.The results show that the torque and angle indicators consistently reflect similar trends in equipment degradation.The evaluation results of the information entropy and Lempel-Ziv algorithm describe some differences in the operation process.The performance degradation of the tightening equipment is measured from two dimensions of stochastic volatility and disorderly state.
There are quality issues such as the stochastic volatility of tightening performance and the decline of the tighten quality stability in the operating process in tightening equipment.For the quantitative characterization of the degree of performance stochastic volatility and disorderly state,information entropy and Lempel-Ziv algorithm complexity of both indexes are applied respectively in this approach to characterize the performance.First,the tightening performance indicators are divided into several states,and the mathematical model of the tightening performance complexity is established based on information entropy theory in order to quantify the random fluctuations extent of tightening performance.Meanwhile,the performance complexity of tightening equipment is also measured based on the Lempel-Ziv algorithm,which gives an approach to describing the disorder of the performance.Finally,the proposed approach is used in an example and the torque and angle data are comparatively analyzed to verify the validity of the proposed approach in the example.The results show that the torque and angle indicators consistently reflect similar trends in equipment degradation.The evaluation results of the information entropy and Lempel-Ziv algorithm describe some differences in the operation process.The performance degradation of the tightening equipment is measured from two dimensions of stochastic volatility and disorderly state.
引文
[1]ElMaraghy W,ElMaraghy H,Tomiyama T,et al.Complexity in engineering design and manufacturing[J].CIRP Annals-Manufacturing Technology,2012,61(2):793-814.
[2]周丰旭,李爱平,李益,等.基于状态熵的多态制造系统可靠性分析[J].计算机集成制造系统,2016,22(4):1070-1078.Zhou Fengxu,Li Aiping,Li Yi,et al.Reliability analysis of multi-state manufacturing systems based on state entropy[J].Computer Integrated Manufacturing Systems,2016,22(4):1070-1078.(in Chinese)
[3]Li Hongzhou,Yang Zhaojun,Xu Binbin,et al.Reliability evaluation of NC machine tools considering working conditions[J].Mathematical Problems in Engineering,2016,2016(21):1-11.
[4]Lad B K,Kulkarn M S.Reliability and maintenance based design of machine tools[J].International Journal of Performability Engineering,2013,9(3):321-332.
[5]Sadok T,Zied H,Nidhal R.Performance evaluation of a hybrid manufacturing remanufacturing system taking into account the machine degradation[J].International Federation of Automatic Control-Papers on Line,2015,48(3):2153-2157.
[6]黄海凤,高宏力,许明恒,等.数控机床主轴系统性能退化评估方法[J].振动、测试与诊断,2013,33(4):646-652.Huang Haifeng,Gao Hongli,Xu Minheng,et al.E-valuation method of performance degradation for NCmachine tool spindle system[J].Journal of Vibration,Measurement&Diagnosis,2013,33(4):646-652.(in Chinese)
[7]董磊,石瑞敏,曾志强.基于复杂网络聚类的提升机主轴系统故障诊断[J].振动、测试与诊断,2016,36(4):688-693.Dong Lei,Shi Ruimin,Zeng Zhiqiang.Fault diagnosis for spindle system of hoist based on complex network clustering[J].Journal of Vibration,Measurement&Diagnosis,2016,36(4):688-693.(in Chinese)
[8]Efthymiou K,Mourtzis D,Pagoropoulos A,et al.Manufacturing systems complexity analysis methods review[J].International Journal of Computer Integrated Manufacturing,2016,29(9):1025-1044.
[9]Efthymiou K,Pagoropoulos A,Papakostas N,et al.Manufacturing systems complexity:an assessment of manufacturing performance indicators unpredictability[J].CIRP Journal of Manufacturing Science&Technology,2014,7(4):324-334.
[10]董新峰,张为民,姜源.基于EMD复杂度与鉴别信息的磨削颤振预测[J].振动、测试与诊断,2012,32(4):602-607.Dong Xinfeng,Zhang Weimin,Jiang Yuan.Method of grinding chatter predicting based on complexity of EMD and discrimination information[J].Journal of Vibration,Measurement&Diagnosis,2012,32(4):602-607.(in Chinese)
[11]董新峰,张为民,邓松.基于Lempel-Ziv指标的主轴系统退化[J].振动、测试与诊断,2015,35(1):17-23.Dong Xinfeng,Zhang Weimin,Deng Song.The research for the degradation of the spindle of machine tool based on Lempel-ziv index[J].Journal of Vibration,Measurement&Diagnosis,2015,35(1):17-23.(in Chinese)
[12]Pan Yuna,Chen Jin.The changes of complexity in the performance degradation process of rolling element bearing[J].Journal of Vibration&Control,2014,22(2):344-357.
[13]Fan Guoliang,Li Aiping,Liu Xuemei,et al.Performance complexity measurement of tightening equipment based on kolmogorov entropy[J].International Journal of Mechanical,Aerospace,Industrial,Mechatronic and Manufacturing Engineering,2017,11(3):647-652.
[14]Efthymiou K,Pagoropoulos A,Papakostas N,et al.Manufacturing systems complexity review:challenges and outlook[J].Procedia CIRP,2012,3(1):644-649.
[15]饶运清,Efstathiou J.基于信息熵的制造系统复杂性测度及其在调度中的应用[J].机械工程学报,2006,42(7):8-13.Rao Yunqing,Efstathiou J.Entropy-based measurement of manufacturing system complexity and its application in scheduling[J].Chinese Journal of Mechanical Engineering,2006,42(7):8-13.(in Chinese)
[16]Cover T M,Thomas J A.Elements of information theory[M].2nd ed.[S.l.]:John Wiley,2003.
[17]刘峰涛,贺国光.基于L-Z方法的宏观交通运输系统复杂性测度[J].哈尔滨工业大学学报,2008,40(12):2058-2061.Liu Fengtao,He Guoguang.Complexity measure for macroscopical transportation system using Lempel-Ziv algorithm[J].Journal of Harbin Institute of Technology,2008,40(12):2058-2061.(in Chinese)
[2]周丰旭,李爱平,李益,等.基于状态熵的多态制造系统可靠性分析[J].计算机集成制造系统,2016,22(4):1070-1078.Zhou Fengxu,Li Aiping,Li Yi,et al.Reliability analysis of multi-state manufacturing systems based on state entropy[J].Computer Integrated Manufacturing Systems,2016,22(4):1070-1078.(in Chinese)
[3]Li Hongzhou,Yang Zhaojun,Xu Binbin,et al.Reliability evaluation of NC machine tools considering working conditions[J].Mathematical Problems in Engineering,2016,2016(21):1-11.
[4]Lad B K,Kulkarn M S.Reliability and maintenance based design of machine tools[J].International Journal of Performability Engineering,2013,9(3):321-332.
[5]Sadok T,Zied H,Nidhal R.Performance evaluation of a hybrid manufacturing remanufacturing system taking into account the machine degradation[J].International Federation of Automatic Control-Papers on Line,2015,48(3):2153-2157.
[6]黄海凤,高宏力,许明恒,等.数控机床主轴系统性能退化评估方法[J].振动、测试与诊断,2013,33(4):646-652.Huang Haifeng,Gao Hongli,Xu Minheng,et al.E-valuation method of performance degradation for NCmachine tool spindle system[J].Journal of Vibration,Measurement&Diagnosis,2013,33(4):646-652.(in Chinese)
[7]董磊,石瑞敏,曾志强.基于复杂网络聚类的提升机主轴系统故障诊断[J].振动、测试与诊断,2016,36(4):688-693.Dong Lei,Shi Ruimin,Zeng Zhiqiang.Fault diagnosis for spindle system of hoist based on complex network clustering[J].Journal of Vibration,Measurement&Diagnosis,2016,36(4):688-693.(in Chinese)
[8]Efthymiou K,Mourtzis D,Pagoropoulos A,et al.Manufacturing systems complexity analysis methods review[J].International Journal of Computer Integrated Manufacturing,2016,29(9):1025-1044.
[9]Efthymiou K,Pagoropoulos A,Papakostas N,et al.Manufacturing systems complexity:an assessment of manufacturing performance indicators unpredictability[J].CIRP Journal of Manufacturing Science&Technology,2014,7(4):324-334.
[10]董新峰,张为民,姜源.基于EMD复杂度与鉴别信息的磨削颤振预测[J].振动、测试与诊断,2012,32(4):602-607.Dong Xinfeng,Zhang Weimin,Jiang Yuan.Method of grinding chatter predicting based on complexity of EMD and discrimination information[J].Journal of Vibration,Measurement&Diagnosis,2012,32(4):602-607.(in Chinese)
[11]董新峰,张为民,邓松.基于Lempel-Ziv指标的主轴系统退化[J].振动、测试与诊断,2015,35(1):17-23.Dong Xinfeng,Zhang Weimin,Deng Song.The research for the degradation of the spindle of machine tool based on Lempel-ziv index[J].Journal of Vibration,Measurement&Diagnosis,2015,35(1):17-23.(in Chinese)
[12]Pan Yuna,Chen Jin.The changes of complexity in the performance degradation process of rolling element bearing[J].Journal of Vibration&Control,2014,22(2):344-357.
[13]Fan Guoliang,Li Aiping,Liu Xuemei,et al.Performance complexity measurement of tightening equipment based on kolmogorov entropy[J].International Journal of Mechanical,Aerospace,Industrial,Mechatronic and Manufacturing Engineering,2017,11(3):647-652.
[14]Efthymiou K,Pagoropoulos A,Papakostas N,et al.Manufacturing systems complexity review:challenges and outlook[J].Procedia CIRP,2012,3(1):644-649.
[15]饶运清,Efstathiou J.基于信息熵的制造系统复杂性测度及其在调度中的应用[J].机械工程学报,2006,42(7):8-13.Rao Yunqing,Efstathiou J.Entropy-based measurement of manufacturing system complexity and its application in scheduling[J].Chinese Journal of Mechanical Engineering,2006,42(7):8-13.(in Chinese)
[16]Cover T M,Thomas J A.Elements of information theory[M].2nd ed.[S.l.]:John Wiley,2003.
[17]刘峰涛,贺国光.基于L-Z方法的宏观交通运输系统复杂性测度[J].哈尔滨工业大学学报,2008,40(12):2058-2061.Liu Fengtao,He Guoguang.Complexity measure for macroscopical transportation system using Lempel-Ziv algorithm[J].Journal of Harbin Institute of Technology,2008,40(12):2058-2061.(in Chinese)