[1] [1] SHEN H, FU J, HE Y, et al.. On-line asynchronous compensation methods for static/quasi-static error implemented on CNC machine tools［J］. International Journal of Machine Tools & Manufacture, 2012, 60: 14-26.

[2] [2] 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 and Manufacture, 2010, 50(4): 386-393.

[3] [3] CHEN J S. A study of thermally induced machine tool errors in real cutting conditions［J］. International Journal of Machine Tools and Manufacture, 1996, 36(12): 1401-1411.

[4] [4] MOU J. A method of using neural networks and inverse kinematics for machine tools error estimation and correction［J］. Journal of Manufacturing Science and Engineering, 1997, 119(2): 247-254.

[5] [5] YUE H X, SHI Y, LI G Q. Research on thermal error compensate of spindle based on neural network［J］. Manufacturing Technology & Machine Tool, 2012(3): 23-25. (in Chinese)

[6] [6] XIE CH, ZHANG W M. Comprehensive measurement errors of 5-axis turning-milling centers and their compensation startegies［J］. Opt. Precision Eng., 2014, 22(4): 1004-1011. (in Chinese)

[7] [7] RAMESH R, MANNAN M, POO A. Support vector machines model for classification of thermal error in machine tools ［J］. The International Journal of Advanced Manufacturing Technology, 2002, 20(2): 114-120.

[8] [8] LIN W Q, FU J ZH, XU Y ZH, et al..Thermal error prediction of numerical control machine tools based on least squares support vector machines［J］. Journal of Zhejiang University: Engineering Science, 2008, 42(6): 905-908. (in Chinese)

[9] [9] MIAO E M, GONG Y Y, CHENG T H, et al..Application of support vector regression machine to thermal error modelling of machine tools［J］. Opt. Precision Eng., 2013, 21(4): 980-986. (in Chinese)

[10] [10] LIN W Q, FU J ZH, XU Y ZH, et al..Optimal sensor placement for thermal error identification of NC machine tool based on LS-SVM and genetic algorithm［J］. Opt. Precision Eng., 2008, 16(9): 1682-1687. (in Chinese)

[11] [11] YAN X H, FU J Z, CHEN Z C. Bayesian networks modeling for thermal error of numerical control machine tools［J］. Journal of Zhejiang University Science A, 2008, 9(11): 1524-1530.

[12] [12] RAMESH R, MANNAN M, POO A, et al.. Thermal error measurement and modelling in machine tools. Part II. Hybrid Bayesian network-support vector machine model［J］. International Journal of Machine Tools and Manufacture, 2003, 43(4): 405-419.

[13] [13] GUO Q J, YANG J G. Thermal error modeling on machine tools based on ant colony algorithm［J］.Journal of Shanghai Jiaotong University, 2009(5): 803-806. (in Chinese)

[14] [14] YANG H, NI J. Adaptive model estimation of machine-tool thermal errors based on recursive dynamic modeling strategy［J］. International Journal of Machine Tools and Manufacture, 2005, 45(1): 1-11.

[15] [15] ZHANG Y, YANG J G. Grey neural network modeling for machine tool thermal error［J］.Journal of Shanghai Jiaotong University, 2011, 45(11): 1581-1586.(in Chinese)

[16] [16] MAYR J, JEDRZEJEWSKI J, UHLMANN E, et al.. Thermal issues in machine tools［J］. CIRP Annals-Manufacturing Technology, 2012, 61(2): 771-791.

[17] [17] ISO 230-3: 2001, Test code for machine tools-Part3: Determination of thermal effects［S］. ISO, Geneva, Switzerland.

[18] [18] PAHK H, LEE S. Thermal error measurement and real time compensation system for the CNC machine tools incorporating the spindle thermal error and the feed axis thermal error［J］. The International Journal of Advanced Manufacturing Technology, 2002, 20(7): 487-494.

[19] [19] SRINIVASA N, ZIEGERT J, MIZE C. Spindle thermal drift measurement using the laser ball bar［J］. Precision Engineering, 1996, 18(2): 118-128.

[20] [20] YANG S H, KIM K H, PARK Y K. Measurement of spindle thermal errors in machine tool using hemispherical ball bar test［J］. International Journal of Machine Tools and Manufacture, 2004, 44(2): 333-340.

[21] [21] DELBRESSINE F, FLORUSSEN G, SCHIJVENAARS L, et al.. Modelling thermomechanical behaviour of multi-axis machine tools［J］. Precision Engineering, 2006, 30(1): 47-53.

[22] [22] SHANG P.The DBB-based errors modeling and measurement method for 5-axis high speed CNC machine tools［D］. Tianjin: Tianjin University, 2008. (in Chinese)