数控机床热误差预测模型的评估方法
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摘要
数控机床热误差产生机理复杂,通常使用温度场监测数据数学建模对热误差进行预测,加工工况和所处环境的复杂使得数据驱动建模方法的优劣难以全面评价,因此建立了一套热误差预测模型的评价指标体系,并提出了相应的评估方法,从热误差预测模型的鲁棒性、准确性、有效性、稳定性与相关性方面对预测模型的性能进行了综合评价。以ZK5540A型重型数控机床在空转工况下所监测的温度场数据为例,采用所提评价指标和评估方法分别对3种不同的数据驱动建模方法的性能指标进行了计算与分析,验证了评估指标和方法的有效性。
Due to the complicated mechanism of Computer Numerical Control(CNC)machine tool's thermal error,they are usually predicted by mathematical modeling based on temperature field monitoring data.The complexity of working conditions and environment makes it difficult to evaluate the advantages and disadvantages of data-driven modeling method comprehensively.Therefore,a set of evaluation index system of thermal error prediction model was established and the corresponding evaluation method was proposed.The performance of the prediction model was evaluated comprehensively from the aspects of robustness,accuracy,effectiveness,stability and correlation.By taking the temperature field data of ZK5540 heavy CNC machine tool with air-cutting conditions as an example,the performance of three different data-driven models were calculated and analyzed by using the evaluation index and evaluation method proposed,which verified the effectiveness of the evaluation index and method.
Due to the complicated mechanism of Computer Numerical Control(CNC)machine tool's thermal error,they are usually predicted by mathematical modeling based on temperature field monitoring data.The complexity of working conditions and environment makes it difficult to evaluate the advantages and disadvantages of data-driven modeling method comprehensively.Therefore,a set of evaluation index system of thermal error prediction model was established and the corresponding evaluation method was proposed.The performance of the prediction model was evaluated comprehensively from the aspects of robustness,accuracy,effectiveness,stability and correlation.By taking the temperature field data of ZK5540 heavy CNC machine tool with air-cutting conditions as an example,the performance of three different data-driven models were calculated and analyzed by using the evaluation index and evaluation method proposed,which verified the effectiveness of the evaluation index and method.
引文
[1]WANG Haitong,LI Tieming,WANG Liping,et al.Review on thermal error modeling of machine tools[J].Journal of Mechanical Engineering,2015,51(9):122(in Chinese).[王海同,李铁民,王立平,等.机床热误差建模研究综述[J].机械工程学报,2015,51(9):122.]
[2]LIU Qiang,QING Sizhao.Perspectives on big data modeling of process industries[J].Acta Automatic Sinica,2016,42(2):163-167(in Chinese).[刘强,秦泗钊.过程工业大数据建模研究展望[J].自动化学报,2016,42(2):163-167.]
[3]YAO Qi,LIU Yu,ZHANG Wei,et al.Study on the comprehensive evaluation method of regional wind power prediction[C]//Proceedings of the 36th Chinese Control Conference.Shanghai:Shanghai System Science Press,2017:10259-10262.
[4]LI Lili,SHI Jianfeng,ZHAO Bo,et al.Current development of CNC machine tool safety[J].Machine Tool&Hydraulics,2014,17:176-178(in Chinese).[李丽丽,史建锋,赵波,等.数控机床安全性发展现状[J].机床与液压,2014,42(17):176-178.]
[5]ZHENG Tingting,WANG Haixia,LI Weidong.A review of the wind power forecasting technology and its performance evaluation[J].Southern Power System Technology,2013,7(2):104-109(in Chinese).[郑婷婷,王海霞,李卫东.风电预测技术及其性能评价综述[J].南方电网技术,2013,7(2):104-109.]
[6]QI Y,YU L,KAI B,et al.A evaluation method of wind farm power prediction based on principal component analysis and entropy methods[C]//Proceedings of Control and Decision Conference.Washington,D.C.,USA:IEEE,2016:2132-2136.
[7]CHENG F L,JIANG B,LI Y,et al.The analysis and evaluation method of assembly accuracy reliability of heavy duty machine tool[J].Advanced Materials Research,2012,500:608-613.
[8]CAI Ligang,TIAN Yang,LIU Zhifeng,et al.Application of cloud computing to simulation of a heavy duty machine tool[J].International Journal of Advanced Manufacturing Technology,2015,84(1/2/3/4):291-303.
[9]ZHOU Jianping,LIN Han,WEN Buying.Comprehensive decision making of transmission network planning based on AHP-GRA[J].Power System and Clean Energy,2011,27(9):66-70(in Chinese).[周建平,林韩,温步瀛.基于层次分析法与灰关联理论的输电网规划方案综合决策[J].电网与清洁能源,2011,27(9):66-70.]
[10]MARSE M,HOREJS O,HORNYCH J,et al.Robustness and portability of machine tools thermal error compensation model based on control of participating thermal sources[J].Journal of Machine Engineering,2013,13(1):24-36.
[11]ALMULLA M,ALMATORI K,YAHYAOUI H.A QoS-Based fuzzy model for ranking real world web services[C]//Proceedings of IEEE International Conference on Web Services.Washington,D.C.,USA:IEEE,2011:203-210.
[12]KUANG Fen,DAI Wei,CHEN Liang,et al.Assessment method and applications forreliabilitymanufacturing process based on quality loss[J].Computer Integrated Manufacturing Systems,2015,21(6):1571-1578(in Chinese).[匡芬,戴伟,陈亮,等.基于质量损失的加工过程可靠性评估方法[J].计算机集成制造系统,2015,21(6):1571-1578.]
[13]GENG Xiuli,ZHANG Yongzheng.Improved FMEA approach for risk evaluation based on hesitant fuzzy set[J].Computer Integrated Manufacturing Systems,2017,23(2):342-345(in Chinese).[耿秀丽,张永政.基于犹豫模糊集的改进FMEA风险评估方法[J].计算机集成制造系统,2017,23(2):342-345.]
[14]AN Xianghua,YU Jingbo,CAI Weiguo.Fuzzy rough FMEA evaluation method based on hybridmulti attribute decision and correlative analysis[J].Computer Integrated Manufacturing Systems,2016,22(11):2614-2615(in Chinese).[安相华,于靖博,蔡卫国.基于混合多属性决策和关联分析的模糊粗糙FMEA评估方法[J].计算机集成制造系统,2016,22(11):2614-2615.]
[15]XU M,QIAO Y,LU Z.A comprehensive error evaluation method for short-term wind power prediction[J].Automation of Electric Power Systems,2011,35(12):20-26.
[2]LIU Qiang,QING Sizhao.Perspectives on big data modeling of process industries[J].Acta Automatic Sinica,2016,42(2):163-167(in Chinese).[刘强,秦泗钊.过程工业大数据建模研究展望[J].自动化学报,2016,42(2):163-167.]
[3]YAO Qi,LIU Yu,ZHANG Wei,et al.Study on the comprehensive evaluation method of regional wind power prediction[C]//Proceedings of the 36th Chinese Control Conference.Shanghai:Shanghai System Science Press,2017:10259-10262.
[4]LI Lili,SHI Jianfeng,ZHAO Bo,et al.Current development of CNC machine tool safety[J].Machine Tool&Hydraulics,2014,17:176-178(in Chinese).[李丽丽,史建锋,赵波,等.数控机床安全性发展现状[J].机床与液压,2014,42(17):176-178.]
[5]ZHENG Tingting,WANG Haixia,LI Weidong.A review of the wind power forecasting technology and its performance evaluation[J].Southern Power System Technology,2013,7(2):104-109(in Chinese).[郑婷婷,王海霞,李卫东.风电预测技术及其性能评价综述[J].南方电网技术,2013,7(2):104-109.]
[6]QI Y,YU L,KAI B,et al.A evaluation method of wind farm power prediction based on principal component analysis and entropy methods[C]//Proceedings of Control and Decision Conference.Washington,D.C.,USA:IEEE,2016:2132-2136.
[7]CHENG F L,JIANG B,LI Y,et al.The analysis and evaluation method of assembly accuracy reliability of heavy duty machine tool[J].Advanced Materials Research,2012,500:608-613.
[8]CAI Ligang,TIAN Yang,LIU Zhifeng,et al.Application of cloud computing to simulation of a heavy duty machine tool[J].International Journal of Advanced Manufacturing Technology,2015,84(1/2/3/4):291-303.
[9]ZHOU Jianping,LIN Han,WEN Buying.Comprehensive decision making of transmission network planning based on AHP-GRA[J].Power System and Clean Energy,2011,27(9):66-70(in Chinese).[周建平,林韩,温步瀛.基于层次分析法与灰关联理论的输电网规划方案综合决策[J].电网与清洁能源,2011,27(9):66-70.]
[10]MARSE M,HOREJS O,HORNYCH J,et al.Robustness and portability of machine tools thermal error compensation model based on control of participating thermal sources[J].Journal of Machine Engineering,2013,13(1):24-36.
[11]ALMULLA M,ALMATORI K,YAHYAOUI H.A QoS-Based fuzzy model for ranking real world web services[C]//Proceedings of IEEE International Conference on Web Services.Washington,D.C.,USA:IEEE,2011:203-210.
[12]KUANG Fen,DAI Wei,CHEN Liang,et al.Assessment method and applications forreliabilitymanufacturing process based on quality loss[J].Computer Integrated Manufacturing Systems,2015,21(6):1571-1578(in Chinese).[匡芬,戴伟,陈亮,等.基于质量损失的加工过程可靠性评估方法[J].计算机集成制造系统,2015,21(6):1571-1578.]
[13]GENG Xiuli,ZHANG Yongzheng.Improved FMEA approach for risk evaluation based on hesitant fuzzy set[J].Computer Integrated Manufacturing Systems,2017,23(2):342-345(in Chinese).[耿秀丽,张永政.基于犹豫模糊集的改进FMEA风险评估方法[J].计算机集成制造系统,2017,23(2):342-345.]
[14]AN Xianghua,YU Jingbo,CAI Weiguo.Fuzzy rough FMEA evaluation method based on hybridmulti attribute decision and correlative analysis[J].Computer Integrated Manufacturing Systems,2016,22(11):2614-2615(in Chinese).[安相华,于靖博,蔡卫国.基于混合多属性决策和关联分析的模糊粗糙FMEA评估方法[J].计算机集成制造系统,2016,22(11):2614-2615.]
[15]XU M,QIAO Y,LU Z.A comprehensive error evaluation method for short-term wind power prediction[J].Automation of Electric Power Systems,2011,35(12):20-26.