Dynamic Prediction Method for Machine Tool Spindle Rotational Accuracy under Cutting Condition

doi:10.3901/JME.2020.17.240

Abstract

Abstract: Rotational accuracy is an important indicator of spindle machining performance. The existing measurement methods of the rotational accuracy are usually carried out by means of a standard ball and under idling conditions, which cannot take into account the influence of the load such as the cutting load. Therefore the existing methods are difficult to reflect the true accuracy of the spindle in the cutting state. Aiming at this problem, a dynamic prediction method of spindle rotational accuracy based on dynamic model is proposed. Firstly, a high-fidelity high-speed spindle-bearing system dynamics model is established, and the excitation load such as cutting force is taken as the input boundary condition. Then, the cutting force is measured by a dynamometer and modified and input into the dynamic model to realize the dynamic prediction of vibration response and radial rotational error of the spindle. A set of on-line measuring device for spindle rotational error is designed and manufactured, and the prediction results of the rotational accuracy are experimentally verified. The simulation and experimental results under different cutting conditions are compared and analyzed. The results show that the proposed method can accurately predict the variation of spindle rotational accuracy and provide a basis for the evaluation of spindle machining performance.

Key words: rotational accuracy, machine tool, dynamic modeling, cutting condition, prediction

CLC Number:

TG659

KANG Ting, CAO Hongrui. Dynamic Prediction Method for Machine Tool Spindle Rotational Accuracy under Cutting Condition[J]. Journal of Mechanical Engineering, 2020, 56(17): 240-248.

References

[1] ASHOK S D,SAMUEL G L. Modeling,measurement,and evaluation of spindle radial errors in a miniaturized machine tool[J]. The International Journal of Advanced Manufacturing Technology,2012,59(5):445-461.
[2] AN C H,ZHANG Y,XU Q,et al. Modeling of dynamic characteristic of the aerostatic bearing spindle in an ultra-precision fly cutting machine[J]. International Journal of Machine Tools and Manufacture,2010,50(4):374-385.
[3] 李树森,刘暾. 精密离心机静压气体轴承主轴系统的动力学特性分析[J]. 机械工程学报,2005,41(2):28-32. LI Shusen,LIU Tun. Analysis of the dynamics of precision centrifuge spindle system with the externally pressurized gas bearing[J]. Chinese Journal of Mechanical Engineering,2005,41(2):28-32.
[4] 黄强,于宗玲,魏坤. 主轴回转精度的综合建模及仿真分析方法[J]. 机床与液压,2015,43(15):146-150. HUANG Qiang,YU Zongling,WEI Kun. General modeling and simulation analysis method on rotating accuracy of spindle[J]. Machine Tool & Hydraulics,2015,43(15):146-150.
[5] 熊万里,侯志泉,吕浪. 液体静压主轴回转误差的形成机理研究[J]. 机械工程学报,2014,50(7):112-119. XIONG Wanli,HOU Zhiquan,LÜ Lang. Study on the mechanism of hydrostatic spindle rotational error motion[J]. Journal of Mechanical Engineering,2014,50(7):112-119.
[6] HUANG P,LEE W B,CHAN C Y. Investigation of the effects of spindle unbalance induced error motion on machining accuracy in ultra-precision diamond turning[J]. International Journal of Machine Tools and Manufacture,2015,94:48-56.
[7] MARTIN D L. Precision spindle and bearing error analysis[J]. International Journal of Machine Tools and Manufacture,1995,35(2):187-193.
[8] KIM S H,KIM B H,JIN Y G. A study on the error separation method in rotation accuracy measurement of high precision spindle unit[J]. Journal of the Korean Society of Manufacturing Process Engineers,2014,13(1):78-84
[9] ANANDAN K P,OZDOGANLAR O B. A multi-orientation error separation technique for spindle metrology of miniature ultra-high-speed spindles[J]. Precision Engineering,2015,43:119-131.
[10] FUJIMAKI K,MITSUI K. Radial error measuring device based on auto-collimation for miniature ultra-high-speed spindles[J]. International Journal Machine Tool & Manufacture,2007,47(11):1677-1685.
[11] LIU Zichao,PAN Wei,LU Changhou,et al. Numerical analysis on the static performance of a new piezoelectric membrane restrictor[J]. Industrial Lubrication and Tribology,2016,68(5):521-529.
[12] 杜正春,杨建国,姚振强,等. 主轴回转误差补偿机理和动力学模型研究[J]. 机械工程学报,2003,39(3):48-57. DU Zhengchun,YANG Jianguo,YAO Zhenqiang,et al. Research on mechanism and dynamics model of spindle rotation error compensation[J]. Journal of Mechanical Engineering,2003,39(3):48-57.
[13] 胡灿,熊万里,孙文彪,等. 可控节流液体静压主轴回转精度提升的机理研究[J]. 机械工程学报,2019,55(11):160-168. HU Can,XIONG Wanli,SUN Wenbiao,et al. Research on the mechanism of improving hydrostatic spindle rotating accuracy with controllable restrictor[J]. Journal of Mechanical Engineering,2019,55(11):160-168.
[14] 陈恩平. 机床主轴回转精度计算机辅助测试系统[J]. 组合机床与自动化加工技术,2004(9):100-101. CHEN Enping. The computer aided measuring system for spindle rotating accuracy measuring of machine tool[J]. Modular Machine Tool & Automatic Manufacturing Technique,2004(9):100-101.
[15] 王卫东,翟超,陈柯. 机床主轴回转精度的CCD测量系统[J]. 计量学报,2006,27(1):18-21. WANG Weidong,ZHAI Chao,CHEN Ke. A CCD measuring system for the rotary precision of spindle of machine tools[J]. Acta Metrologica Sinica,2006,27(1):18-21.
[16] KARACAY T,AKTURK N. Vibrations of a grinding spindle supported by angular contact ball bearings[J]. Proceedings of the Institution of Mechanical Engineers Part K Journal of Multi-body Dynamics,2008,222(1):61-75.
[17] KIM S M,LEE S K. Prediction of thermo-elastic behavior in a spindle-bearing system considering bearing surro-undings[J]. International Journal of Machine Tools & Manufacture,2001,41(6):809-831.
[18] JIANG Shuyun,MAO Hebing. Investigation of variable optimum preload for a machine tool spindle[J]. International Journal of Machine Tools and Manufacture,2010,50(1):19-28.
[19] JIANG Shuyun,ZHENG Shufei. Dynamic design of a high-speed motorized spindle-bearing system[J]. Journal of Mechanical Design,2010,132(3):034501.
[20] JIANG Shuyun,ZHENG Shufei. A modeling approach for analysis and improvement of spindle-drawbar-bearing assembly dynamics[J]. International Journal of Machine Tools and Manufacture,2010,50(1):131-142.
[21] 陈小安,张朋,合烨,等. 高速电主轴轴向振动研究[J]. 振动与冲击,2014,33(20):70-74. CHEN Xiaoan,ZHANG Peng,HE Ye,et al. Axial vibration of high-speed motorized spindles[J]. Journal of Vibration and Shock,2014,33(20):70-74.
[22] 陈小安,刘俊峰,合烨,等. 高速电主轴热态性能及其影响[J]. 机械工程学报,2013,49(11):135-142. CHEN Xiaoan,LIU Junfeng,HE Ye,et al. Thermal properties of high speed motorized spindle and their effects[J]. Journal of Mechanical Engineering,2013,49(11):135-142.
[23] CAO Hongrui,ZHANG Xingwu,CHEN Xuefeng. The concept and progress of intelligent spindles:A review[J]. International Journal of Machine Tools & Manufacture,2017,112:112-115.
[24] XI Songtao,CAO Hongrui,CHEN Xuefeng. A dynamic modeling approach for spindle bearing system supported by both angular contact ball bearing and floating displacement bearing[J]. Journal of Manufacturing Science and Engineering-Transactions of the ASME,2018,140(2):021014.
[25] XI Songtao,CAO Hongrui,CHEN Xuefeng. Dynamic modeling of spindle bearing system and vibration response investigation[J]. Mechanical Systems and Signal Processing. 2019,114:486-511.
[26] 熊万里,侯志泉,吕浪,等. 气体悬浮电主轴动态特性研究进展[J]. 机械工程学报,2011,47(5):40-58. XIONG Wanli,HOU Zhiquan,LÜ Lang,et al. Review on the dynamic characteristics of aerostatic motorized spindles[J]. Journal of Mechanical Engineering,2011,47(5):40-58.
[27] SHI Shengyu,LIN Jing,WANG Xiufeng,et al. A hybrid three-probe method for measuring the roundness error and the spindle error[J]. Precision Engineering,2016,45:403-413.
[28] MA Ping,ZHAO Chunming,LU Xinhui. Rotation error measurement technology and experimentation research of high-precision hydrostatic spindle[J]. The International Journal of Advanced Manufacturing Technology,2014,73(9):1313-1320.