基于体对角线误差检测的数控机床几何误差辨识方法研究
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摘要
研究数控机床的几何误差测量与辨识方法对于提高数控机床的加工精度水平具有重要的现实意义。在数控机床的几何误差辨识方法研究方面,提出了一种基于Laser TRACER体对角线误差测量信息的几何信息快速辨识方法,并引入一种两步解正则化方法,以修正映射矩阵的性态,可以较大程度上提高误差参数辨识的抗干扰性,计算机仿真和实验结果均表明,所提辨识方法的正确性和有效性。
It is of great practical significance to study the geometric error measurement and identification of CNC machine tools to improve the machining accuracy of CNC machine tools.In the research of geometric error identification method of CNC machine tool,anew geometric error identification method based on Laser TRACER body diagonal error measurement information is proposed.A two-step solution regularization method is introduced to modify the behavior of the mapping matrix,which can improve the anti-jamming of error parameter identification to a great extent.Computer simulation and experimental results show that the proposed method iscorrect and effective.
It is of great practical significance to study the geometric error measurement and identification of CNC machine tools to improve the machining accuracy of CNC machine tools.In the research of geometric error identification method of CNC machine tool,anew geometric error identification method based on Laser TRACER body diagonal error measurement information is proposed.A two-step solution regularization method is introduced to modify the behavior of the mapping matrix,which can improve the anti-jamming of error parameter identification to a great extent.Computer simulation and experimental results show that the proposed method iscorrect and effective.
引文
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[2]Chen J S,Kou T W,Chiou S H.Geometric error calibration of multi-axis machines using an auto-alignment laser interferometer[J].Precision Engineering,1999,23(4):243-252.
[3]Zhang Z,Hu H.Measuring geometrical errors of linear axis of machine tools based on the laser tracker[C].Robotics and Biomimetics(ROBIO),2011 IEEE International Con-ferenee on IEEE,2011:2276-2281.
[4]Schwenke H,Knapp W,Haitjema H,et a1.Geometric error measurement and compensation of machines-an update[J].CIRP Annals-Manufacturing Technology,2008,57(2):660-675.
[5]ASME B5.54-2005.Methods for Performance Evaluation of Computer Numerically Controlled Machining Centers[S].New York:The American Society of Mechanical Engineers,2005.
[6]ISO 230-6.Test code for machine tools,Part 6.Determination of positioning accuracy on body and face diagonals[S].Switzerland.International Organization for Standardization,2002.
[7]Zhang G,Quang R,Hocken R,et al.A Displacement Method for Machine Geometry Calibration[J].Annals of CIRP,1988,37(1):515-518.
[8]刘又午,盛伯浩.数控机床误差补偿技术及应用发展动态及展望[J].制造技术与机床,1998,12:5-6,21.
[9]范晋伟,田越.基于14条位移线测量法的数控机床误差参数辨识技术[J].北京工业大学学报,2000,26(2):11-15.
[10]Ibaraki S,Hate T.A new formulation of laser step diagonal measurement three-dimensional case[J].Precision Engineering,2010,34(3):516-525.
[11]Wang J D,Guo J J.Research on the base station calibration of multi-station and time-sharing measurement based on hybrid genetic algorithm[J].Measurement2016,(94):139-148.
[12]Hughes E B,Wilson A,Peggs G N.Design of a high-accuracy CMM based on multi-lateration techniques[J].CIRP Annals-Manufacturing Technology,2000,49(1):391-394.
[13]Masahiro U,Yasuhiro T.On-machine dimensional measurement of large parts by compensating for volumetric errors of machine tools[J].Precision Engineering,2016,43:200-210.
[14]王振杰.大地测量中不适定问题的正则化解法[D].合肥:中国科学院研究生院,2003.
[15]Tikhonov A N,Arsenin V Y.Solutions of ill-posed problems[M].New York:Wiley,1977.
[16]陈希孺,王松桂.近代回归分析原理方法及应用[M].合肥:安徽教育出版社,1987.
[17]Hansen P C,Leary D P.The use of the l-curve in the regularization of descrete ill-posed problems[J].SIAM Journal on Scientific Computing,1993,14(6):1487-1503.