[1] [1] LASEMI A, XUE D, GU P. Accurate identification and compensation of geometric errors of 5-axis CNC machine tools using double ball bar ［J］. Measurement Science and Technology, 2016, 27: 055004.

[2] [2] KHAN A W, CHEN W. A methodology for systematic geometric error compensation in five-axis machine tools ［J］. International Journal of Advanced Manufacturing Technology, 2010, 53(5-8): 615-628.

[3] [3] GUO Q J, ZHAO G Y, CHENG X, et al.. Research on volumetric error compensation of two turntable five-axis machine tools ［J］. Journal of Mechanical Engineering, 2016, 52(13): 189-194.(in Chinese)

[4] [4] ANDOLFATTO L, LAVERNHE S, MAYER J R R. Evaluation of servo, geometric and dynamic error sources on five axis high-speed machine tool ［J］. International Journal of Machine Tools and Manufacture, 2011, 51(10-11): 787-796.

[5] [5] CHENG Y P, ZHANG E ZH, QI Y L, et al.. Geometric error measurement and integrated modeling for precision CNC machine tools of optical free-form surface ［J］. Opt. Precision Eng., 2017, 25(10s): 174-182.(in Chinese)

[6] [6] GUO CH G, HAN X, LI Y, et al.. Thermal error modeling for spindle system of precision CNC lathe ［J］. Opt. Precision Eng., 2016, 24(7): 1731-1742.(in Chinese)

[7] [7] YE J H, GAO CH H, JIANG J B. On-machine measurement and fuzzy RBF neural network modeling for geometric errors of rotary axes of five-axis machine tools ［J］. Opt. Precision Eng., 2016, 24(4): 826-834.(in Chinese)

[8] [8] CHEN D J, DONG L H, YANG ZH, et al.. Geometric error identification and compensation of complex CNC grinding machine ［J］. Opt. Precision Eng., 2015, 23(10z): 348-354.(in Chinese)

[9] [9] WANG J, GUO J, ZHANG G, et al.. The technical method of geometric error measurement for multi-axis NC machine tool by laser tracker ［J］. Measurement Science and Technology, 2012, 23(4): 45003-45013.

[10] [10] WANG W, TAO W J, LI Q CH. Research on characteristic of test specimen for five-axis CNC machine tools ［J］. Journal of Mechanical Engineering, 2017, 53(1): 101-109.(in Chinese)

[11] [11] GUO S, JIANG G, MEI X. Investigation of sensitivity analysis and compensation parameter optimization of geometric error for five-axis machine tool ［J］. International Journal of Advanced Manufacturing Technology, 2017, 93: 3229-3243.

[12] [12] IBARAKI S, KNAPP W. Indirect measurement of volumetric accuracy for three-axis and five-axis machine tools: A review ［J］. International Journal of Automation Technology, 2012, 6(2): 110-124.

[13] [13] DING S, HUANG X, YU C, et al.. Novel method for position-independent geometric error compensation of five-axis orthogonal machine tool based on error motion ［J］. The International Journal of Advanced Manufacturing Technology, 2016, 83: 1069-1078.

[14] [14] JIANG Z, TANG X, ZHOU X, et al.. Machining tests for identification of location errors on five-axis machine tools with a tilting head ［J］. The International Journal of Advanced Manufacturing Technology, 2015, 79(1-4): 245-254.

[15] [15] LEE K I, YANG S H. Robust measurement method and uncertainty analysis for position-independent geometric errors of a rotary axis using a double ball-bar ［J］. International Journal of Precision Engineering and Manufacturing, 2013, 14(2): 231-239.

[16] [16] IBARAKI S, IRITANI T, MATSUSHITA T. Calibration of location errors of rotary axes on five-axis machine tools by on-the-machine measurement using a touch-trigger probe ［J］. International Journal of Machine Tools and Manufacture, 2012, 58(7): 44-53.

[17] [17] DU ZH CH, YANG J G, FENG Q B. Research status and trend of geometrical error measurement of CNC machine tools ［J］. Aviation Precision Manufacturing Technology, 2017, 525(6): 34-44.(in Chinese)

[18] [18] FU G Q, FU J ZH, SHEN H Y.One novel geometric error identification of rotary axes for five-axis machine tool ［J］. Journal of Zhejiang University(Engineering and Technology Edition), 2015, 49(5): 848-857.(in Chinese)

[19] [19] XIANG S, YANG J. Using a double ball bar to measure 10 position-dependent geometric errors for rotary axes on five-axis machine tools ［J］. The International Journal of Advanced Manufacturing Technology, 2014, 75(1-4): 559-572.

[20] [20] IBARAKI S, KIMURA Y, YU N, et al.. Formulation of influence of machine geometric errors on five-axis on-machine scanning measurement by using a laser displacement sensor ［J］. Journal of Manufacturing Science and Engineering, 2015, 137(2): 021013.

[21] [21] FLORUSSEN G H J, DELBRESSINE F L M, VAN DE MOLENGRAFT M J G, et al.. Assessing geometrical errors of multi-axis machines by three-dimensional length measurements ［J］. Measurement, 2001, 30(4): 241-255.

[22] [22] HE ZH Y, FU J ZH, CHEN Z CH. Thermal error measurement of spindle for 5-axis CNC machine tool based on ball bar ［J］. Opt. Precision Eng., 2015, 23(5): 1401-1408.(in Chinese)

[23] [23] CHEN D, DONG L, BIAN Y, et al.. Prediction and identification of rotary axes error of non-orthogonal five-axis machine tool ［J］. International Journal of Machine Tools and Manufacture, 2015, 94: 74-87.

[24] [24] XIANG S, YANG J, ZHANG Y. Using a double ball bar to identify position-independent geometric errors on the rotary axes of five-axis machine tools ［J］. The International Journal of Advanced Manufacturing Technology, 2013, 70(9-12): 2071-2082.

[25] [25] GUO SH J, MEI X S, JIANG G D, et al.. Correlation analysis of geometric error for CNC machine tool ［J］. Transactions of the Chinese Society for Agricultural Machinery, 2016, 47(10): 383-389.(in Chinese)

[26] [26] ISO 230-1: 2012, Test code for machine tools-part 1: Geometric accuracy of machines operating under no-load or quastic-static conditions ［S］. Geneva: ISO, 2012.

[27] [27] ISO 230-7: 2015, Test code for machine tools-part 7: Geometric accuracy of axes of rotation ［S］. Geneva: ISO, 2015.

[28] [28] INASAKI I, KISHINAMI K, SAKAMOTO S, et al..Shape Generation Theory for Machine Tools-its Bais and Applications ［M］. Tokyo, Yokendo, 1997.

[29] [29] UDDIN MS, IBARAKI S, MATSUBARA A, et al.. Prediction and compensation of machining geometric errors of five-axis machining centers with kinematic errors ［J］. Precision Engineering, 2009, 33(2): 194-201.

[30] [30] TSUSUMI M, SAITO A. Identification and compensation of systematic deviations particular to 5-axis machining centers ［J］. International Journal of Machine Tools and Manufacture, 2003, 43(8): 771-780.