基于偏相关-灰色综合关联度的温度测点优化
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摘要
机床的热误差建模与补偿技术是提高机床加工精度的行之有效方法,而关键温度测点的选择是成功实施该技术的重要前提,由此提出一种基于偏相关-灰色综合关联度的温度测点优化方法。采用偏相关分析法,分析单一温度测点与主轴热误差间的相关性,剔除掉不相关或弱相关的测点,对剩余测点进行基于灰色综合关联度算法的分析,量化各测点与机床主轴热误差间的紧密程度,将测点数量由16个减少至4个。根据优化结果,建立4测点的热误差预测模型,分析表明,主轴Z向最大热误差由10.338μm减小至1.299μm,验证了温度测点优化结果的有效性。
A newmethod is proposed to optimize the temperature measuring points of thermal error compensation technology for machine tools. A PC( Partial Correlation) analysis method is used to weed out measuring points which are unrelated to spindle Z thermal error by controlling other variables. Then GSDA( Grey Synthetic Degree of Association) is used to determine the correlation between the thermal error and measuring points. The key measuring points are achieved and the number is reduced from 16 to 4. Then a thermal error model is built based on these key temperature measuring points. The result shows that the Z-axis thermal error is reduced from 10. 338 μm to 1. 299 μm which validates the method's effectiveness.
A newmethod is proposed to optimize the temperature measuring points of thermal error compensation technology for machine tools. A PC( Partial Correlation) analysis method is used to weed out measuring points which are unrelated to spindle Z thermal error by controlling other variables. Then GSDA( Grey Synthetic Degree of Association) is used to determine the correlation between the thermal error and measuring points. The key measuring points are achieved and the number is reduced from 16 to 4. Then a thermal error model is built based on these key temperature measuring points. The result shows that the Z-axis thermal error is reduced from 10. 338 μm to 1. 299 μm which validates the method's effectiveness.
引文
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[10]Min X,Jiang S.A thermal model of a ball screw feed drive system for a machine tool[J].ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering,2011,1(1):1-8.
[11]Zhao H,Yang J,Shen J.Simulation of thermal behavior of a CNC machine tool spindle[J].International Journal of Machine Tools&Manufacture,2007,47(6):1003-1010.
[12]Creighton E,Honegger A,Tulsian A,et al.Analysis of thermal errors in a high-speed micro-milling spindle[J].International Journal of Machine Tools&Manufacture,2010,50(4):386-393.
[2]李兴达,顾群英,李自汉,等.基于时间序列和神经网络的主轴热误差建模[J].组合机床与自动化加工技术,2015(9):13-16.
[3]Pahk H J,Lee S W.Thermal Error Measurement and Real Time Compensation System for the CNC Machine Tools[M].London:Springer,2000.
[4]Wu H,Zhang H,Guo Q,et al.Thermal error optimization modeling and real-time compensation on a CNC turning center[J].Journal of Materials Processing Technology.2008,207(1):172-179.
[5]张伟,叶文华.基于灰色关联和模糊聚类的机床温度测点优化[J].中国机械工程,2014,25(4):456-460.
[6]闫嘉钰,张宏韬,刘国良,等.基于灰色综合关联度的数控机床热误差测点优化新方法及应用[J].四川大学学报(工程科学版),2008,40(2):160-164.
[7]凡志磊,李中华,杨建国.基于偏相关分析的数控机床温度布点优化及其热误差建模[J].中国机械工程,2010,21(17):2025-2028.
[8]沈金华,赵海涛,张宏韬,等.数控机床热补偿中温度变量的选择与建模[J].上海交通大学学报,2006,40(2):181-184.
[9]范金梅,许黎明,赵晓明,等,机床热误差补偿中温度传感器布置策略的研究[J].仪器仪表学报,2005,26(S8):83-84.
[10]Min X,Jiang S.A thermal model of a ball screw feed drive system for a machine tool[J].ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering,2011,1(1):1-8.
[11]Zhao H,Yang J,Shen J.Simulation of thermal behavior of a CNC machine tool spindle[J].International Journal of Machine Tools&Manufacture,2007,47(6):1003-1010.
[12]Creighton E,Honegger A,Tulsian A,et al.Analysis of thermal errors in a high-speed micro-milling spindle[J].International Journal of Machine Tools&Manufacture,2010,50(4):386-393.