Analysis and Control Algorithm of Non-linear Error for Nine-axis Synchronize Milling Blades with Twin-cutters

doi:10.3901/JME.2020.03.197

Abstract

Abstract: There are three rotary motions in linear interpolation of twin-tool milling process, which causes the phenomenon that the actual motion trajectory of the cutting contact point does not coincide with the theoretical planning trajectory. In order to ensure surface machining quality of the workpiece, the path optimization algorithm for reducing the non-linear error in twin-tool milling process is proposed. Considering the position constraint relationship of two cutters, the kinematic synchronous conversion model of nine-axis machine tool is suggested. Based on the geometrical feature of the workpiece surface, the theoretical characterization method of non-linear error between the cutting contact points is researched, and the simplified calculation model of the non-linear errors caused by the rotational motion is built. For effectively controlling the non-linear error and the machining error of the twin-tool milling path, the optimization model is established to realize the synchronous interpolation of opposite cutting contact points for the two cutters. Then, the cutting contact points in twin-tool milling path is simultaneously corrected for a typical turbine blade based on the method. The results of simulation and experiment show that the non-linear error of twin-tool milling is reduced. And the feasibility of proposed method is verified which can be used to improve the machining accuracy of blade profile.

Key words: twin-tool milling, non-linear error, path optimization

CLC Number:

TG156

SONG Dongdong, XUE Fei, ZHAO Wanhua, LU Bingheng. Analysis and Control Algorithm of Non-linear Error for Nine-axis Synchronize Milling Blades with Twin-cutters[J]. Journal of Mechanical Engineering, 2020, 56(3): 197-206.

References

[1] HO Mingche,HWANG Yeanren. Machine codes modification algorithm for five-axis machining[J]. Journal of Materials Processing Technology,2003,142:452-460.
[2] 周艳红,周济,周云飞,等. 五坐标数控加工的理论误差分析与控制[J]. 机械工程学报,1999,35(5):54-57. ZHOU Yanhong,ZHOU Ji,ZHOU Yunfei,et al. Analysis and control of the theoretical error in five-axis NC machining[J]. Chinese Journal of Mechanical Engineering,1999,35(5):54-57.
[3] JIA Zhenyuan,MA Jianwei,SONG Dening,et al. A review of contouring-error reduction method in multi-axis CNC machining[J]. International Journal of Machine Tools and Manufacture,2018,125:34-54.
[4] HWANG Yeanren,LIANG Chashong. Cutting errors analysis for spindle-tilting type 5-axis NC machines[J]. International Journal of Advanced Manufacturing Technology,1998,14:399-405.
[5] 姬俊锋,周来水,安鲁陵,等. 考虑非线性误差补偿的五坐标数控加工走刀步长改进算法[J]. 重庆大学学报,2010,33(4):37-42. JI Junfeng,ZHOU Laishui,AN Luling,et al. A new determination method of tool step for 5-axis NC machining[J]. Journal of Chongqing University,2010,33(4):37-42.
[6] 郑飂默,林浒,盖荣丽,等. 五轴数控系统旋转轴快速平滑插补控制策略[J]. 机械工程学报,2011,47(9):105-111. ZHENG Liaomo,LIN Hu,GAI Rongli,et al. Fast smooth interpolation control strategy of rotary axes for five-axis CNC systems[J]. Journal of Mechanical Engineering,2011,47(9):105-111.
[7] 杨旭静,周元生,陈泽忠,等. 五轴数控加工中旋转轴运动引起的非线性误差分析及控制[J]. 机械工程学报,2012,48(3):140-146. YANG Xujing,ZHOU Yuansheng,CHEN Zezhong,et al. Analysis and control of tool path interpolation error in rotary axes motions of five-axis CNC milling[J]. Journal of Mechanical Engineering,2012,48(3):140-146.
[8] TUTUNEA-FATAN O R,MD-SHAFAYET H B. Comparing the kinematic efficiency of five-axis machine tool configurations through nonlinearity errors[J] Computer-Aided Design,2011,43:1163-1172.
[9] SØRBY K. Inverse kinematics of five-axis machines near singular configurations[J]. International Journal of Machine Tools and Manufacture,2007,47:299-306.
[10] 吴大中,王宇晗,冯景春,等. 五坐标数控加工的非线性运动误差分析与控制[J]. 上海交通大学学报,2007,41(10):1608-1612. WU Dazhong,WANG Yuhan,FENG Jingchun,et al. Analysis and control of the non-linear errors in five-axis NC machining[J]. Journal of Shanghai Jiaotong University,2007,41(10):1608-1612.
[11] SHE Chenhua,HUANG Zhaotang. Postprocessor development of a five-axis machine tool with nutating head and table configuration[J]. International Journal of Machine Tools and Manufacture,2008,38:728-740.
[12] 王丹,陈志同,陈五一. 五轴加工中非线性误差的检测和处理方法[J]. 北京航空航天大学学报,2008,34(9):1003-1006. WANG Dan,CHEN Zhitong,CHEN Wuyi. Detectionand control of non-linear errors in 5-axis machining[J]. Journal of Beijing University of Aeronautics and Astronautics,2008,34(9):1003-1006.
[13] LI Jiangang,ZHOUYANG Hongsheng,LOU Yunjiang. Tool path optimization in postprocessor of five-axis machine tools[J]. International Journal of Advanced Manufacturing Technology,2013,68:2683-2691.
[14] BOZ Yaman,ISMAIL L. A postprocessor for table-tilting type five-axis machine tool based on generalized kinematics with variable federate implementation[J]. International Journal of Advanced Manufacturing Technology,2013,66:1285-1293.
[15] 周玉龙. 满足非线性误差要求的五轴进给速度控制方法[J]. 机械工程学报,2014,50(7):209-212. ZHOU Yulong. Research on feedrate control of five-axis based on non-linear error[J]. Journal of Mechanical Engineering,2014,50(7):209-212.
[16] WANG Junteng,ZHANG Dinghua,WU Baohai,et al. Kinematic analysis and feedrate optimization in six-axis NC abrasive belt grinding of blades[J]. International Journal of Advanced Manufacturing Technology,2015,79:405-414.
[17] ZHAO Dan,BI Yunbo,KE Yinglin. An efficient error compensation method for coordinated CNC five-axis machine tools[J]. International Journal of Machine Tools and Manufacture,2017,123:105-115.
[18] YUEN A,ALTINTAS Y. Trajectory generation and control of a 9 axis CNC micromachining center[J]. CIRP Annals-Manufacturing Technology,2016,65:349-352.
[19] 何仲云,余常武,位文明,等. 一种卧式双刀加工叶片的卧式机床结构:中国,201010578663.3[P]. 2011-05-25. HE Zhongyun,YU Changwu,WEI Wenming,et al. A twin-cutters horizontal machine tool for blades:China,201010578663.3[P]. 2011-05-25.
[20] SONG Dongdong,XUE Fei,WU Diaodiao,et al. Iso-parametric path-planning method of twin-tool milling for turbine blades[J]. International Journal of Advanced Manufacturing Technology,2018,98:3179-3189.