Dynamic Modeling of a Linear Feed Axis Considering the Characteristics of the Electro-mechanical and Rigid-flexible Coupling

doi:10.3901/JME.2017.17.060

Abstract

Abstract: The dynamic performance is a key factor that influences the dynamic accuracy of a feed axis servo system. The mechanism of dynamic errors with the electro-mechanical and rigid-flexible coupling characteristics has not been revealed. It leads to a blind region for the research on the dynamic optimal design and dynamic errors suppression of a feed axis servo system. Considering the concentrated and distributed flexibility of the structure, the dynamic model of a feed axis servo system is established based on the electro-mechanical and rigid-flexible coupling characteristics. According to analyzing the response of the dynamic model to step and sine signals in simulation, how the dynamic errors are produced is discussed and the influence of important factors on the dynamic errors is analyzed. The proposed dynamic model can systematically illustrated the formation of dynamic error, which lays a theoretical foundation for the dynamic optimal design and dynamic error suppression of the feed axis servo system.

Key words: dynamic performance, electro-mechanical coupling, feed axis servo system, rigid-flexible coupling, three-loop control

CLC Number:

TG659

LI Jie, XIE Fugui, LIU Xinjun, LIU Dawei, LI Fuhua, JIANG Zhong. Dynamic Modeling of a Linear Feed Axis Considering the Characteristics of the Electro-mechanical and Rigid-flexible Coupling[J]. Journal of Mechanical Engineering, 2017, 53(17): 60-69.

References

[1] 沈金华, 杨建国. 基于对角线测量的机床空间定位误差热变化分析[J]. 华南理工大学学报, 2008, 36(10):125-128. SHEN Jinhua, YANG Jianguo. Thermal variation analysis of spatial positioning error of machine tool based on diagonal measurement[J]. Journal of South China University of Technology, 2008, 36(10):125-128.
[2] 李杰,刘辛军,谢福贵,等. 基于时变特性的数控机床综合误差建模方法[J]. 科技导报, 2016, 34(2):65-70. LI Jie, LIU Xinjun, XIE Fugui, et al. A comprehensive error modeling method for numerical control machine tools based on time-varying characteristics[J]. Science & Technology Review, 2016, 34(2):65-70.
[3] LI J, XIE F G, LIU X J, et al. Geometric error modeling and sensitivity analysis of a five-axis machine tool[J]. International Journal of Advanced Manufacturing Technology, 2016, 82(9-12):2037-2051.
[4] LI J, XIE F G, LIU X J, et al. Geometric error identification and compensation of linear axes based on a novel 13-line method[J]. The International Journal of Advanced Manufacturing Technology, 2016, 87(5):2269-2283.
[5] GAN S W, HAN-SEOK L, RAHMAN M, et al. A fine tool servo system for global position error compensation for a miniature ultra-precision lathe[J]. International Journal of Machine Tools & Manufacture, 2007, 47(7-8):1302-1310.
[6] SHEN H, FU J, HE Y, et al. On-line asynchronouscompensation methods for static/quasi-static error implemented on CNC machine tools[J]. International Journal of Machine Tools & Manufacture, 2012, 60(1):14-26.
[7] CUI G, LU Y, GAO D, et al. A novel error compensation implementing strategy and realizing on Siemens 840D CNC systems[J]. International Journal of Advanced Manufacturing Technology, 2011, 61(5-8):595-608.
[8] 许桢英, 费业泰, 陈晓怀. 动态精度理论研究与发展[J]. 仪器仪表学报, 2001, 22(4):71-74. XU Zhenying, FEI Yetai, CHEN Xiaohuai. Study and development of the theory of the accuracy of dynamic measurement[J]. Chinese Journal of Scientific Instrument, 2001, 22(4):71-74.
[9] 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 & Manufacture, 2011, 51(10):787-796.
[10] 王磊,刘海涛,杨啸,等. 轴间耦合下多轴联动机床的位置维动态特性分析[J]. 机械工程学报, 2014, 50(15):89-96. WANG Lei, LIU Haitao, YANG Xiao, et al. Position-dependent dynamic analysis of multi-axis machine tool considering axial coupling[J]. Journal of Mechanical Engineering, 2014, 50(15):89-96.
[11] LEI W T, PAUNG I M, YU C C. Total ballbar dynamic tests for five-axis CNC machine tools[J]. International Journal of Machine Tools & Manufacture, 2009, 49(6):488-499.
[12] 刘强, 吴文镜. 数控机床耦合建模与分析技术研究进展[J]. 航空制造技术, 2014(16):8-11. LIU Qiang, WU Wenjing. Research progress of coupled modeling and analysis technology of NC machine tools[J]. Aeronautical Manufacturing Technology, 2014(16):8-11.
[13] KUSHNIR E. Application of operational modal analysis to a machine tool testing[C]//ASME 2004 International Mechanical Engineering Congress and Exposition. 2004:57-62.
[14] ZAGHBANI I, SONGMENE V. Estimation of machine-tool dynamic parameters during machining operation through operational modal analysis[J]. International Journal of Machine Tools & Manufacture, 2009, 49(Suppl. 12-13):947-957.
[15] WANG W, JIANG Z, TAO W, et al. A new test part to identify performance of five-axis machine tool-part I:geometrical and kinematic characteristics of S part[J]. International Journal of Advanced Manufacturing Technology, 2015, 79(5-8):739-756.
[16] RAHAMAN M, SEETHALER R, YELLOWLEY I, et al. A new approach to contour error control in high speed machining[J]. International Journal of Machine Tools & Manufacture, 2015, 88:42-50.
[17] ZHANG G P, HUANG Y M, SHI W H, et al. Predicting dynamic behaviours of a whole machine tool structure based on computer-aided engineering[J]. International Journal of Machine Tools & Manufacture, 2003, 43(7):699-706.
[18] 张会端. 机床进给系统的动力学分析[D]. 长春:吉林大学, 2009. ZHANG Huiduan. The dynamic analysis of the machine drive system[D]. Changchun:Jilin University, 2009.
[19] LIN M T, WU S K. Modeling and analysis of servo dynamics errors on measuring paths of five-axis machine tools[J]. International Journal of Machine Tools & Manufacture, 2013, 66(2):1-14.
[20] LIN M T, WU S K. Modeling and improvement of dynamic contour errors for five-axis machine tools under synchronous measuring paths[J]. International Journal of Machine Tools & Manufacture, 2013, 72(18):58-72.
[21] 王刚. 直流电机伺服控制技术研究与实现[D]. 大连:大连理工大学, 2013. WANG Gang. Research and implementation of DC motor servo control technology[D]. Dalian:Dalian University of Technology, 2013.
[22] 张义民. 机械振动[M]. 北京:清华大学出版社, 2007. ZHANG Yimin. Mechanical vibration[M]. Beijing:Tsinghua University Press, 2007.