Study on Dynamic Characteristics of Magnetic Suspension Milling Motorized Spindle Rotor-tool Variable Mass Unbalance System

doi:10.3901/JME.2022.23.306

Abstract

Abstract: Aiming at the rotation accuracy instability problem of "tool-the main shaft" system caused by the mass change of "tool-spindle" system caused by the chip entering into the chip tolerance slot during the cutting process of magnetic suspension milling motorized spindle, a dynamic model of "chip-tool-spindle" system was established based on variable mass point theory. The vibration of the system caused by the change of the unbalance mass was analyzed, and the unbalance magnetic force was generated due to the uneven magnetic field in the air gap between the stator and rotor of the magnetic suspension bearing. A model of the unbalance magnetic force was established by using the equivalent magnetic circuit method. The Riccati transfer matrix method was used to solve the steady-state dynamic model of rotor-tool system in magnetic suspension milling motorized spindle, and the unbalance response of the system under the influence of the modal parameters and the initial eccentric mass was obtained. The milling force, the variable mass force, the chip mass unbalanced centrifugal force and the unbalanced magnetic pull force were considered, and the Newmark-β algorithm was used to solve the transient dynamic model of the rotor-tool variable mass system. The dynamic response of the system from starting to cutting process is simulated and analyzed. The results show that, mass unbalance is the main factor affecting the steady state response of rotor-tool system of magnetic suspension milling motorized spindle; variable mass force is the main factor affecting the transient response of the system; the effect of unbalanced magnetic pull on system response is negatively correlated with system stability and positively correlated with system amplitude.

Key words: magnetic suspension motorized spindle, variable mass, modal analysis, unbalanced response

CLC Number:

TH113

OUYANG Zhihai, KANG Huimin, LIU Houcai, DUAN Lianghui, CAO Zheng, ZHOU Yue, JIANG Guan, LI Wang. Study on Dynamic Characteristics of Magnetic Suspension Milling Motorized Spindle Rotor-tool Variable Mass Unbalance System[J]. Journal of Mechanical Engineering, 2022, 58(23): 306-320.

References

[1] 熊万里,孙文彪,刘侃,等. 高速电主轴主动磁悬浮技术研究进展[J]. 机械工程学报,2021,57(13):1-17. XIONG Wanli,SUN Wenbiao,LIU Kan,et al. Active magnetic bearing technology development in high-speed motorized spindles[J]. Journal of Mechanical Engineering,2021,57(13):1-17.
[2] 张钢,刘宁,高刚,等. 磁悬浮轴承技术的发展与应用[C]//中国轴承论坛第四届研讨会,2006,洛阳. 2006:102-106.ZHANG Gang,LIU Ning,GAO Gang,et al. Development and application of magnetic levitation bearing technology[C]//The fourth Symposium of China Bearing Forum,2006,Luoyang. 2006:102-106.
[3] 陈易新,胡业发,杨恒明,等. 机床主轴可控磁力轴承的结构分析与设计[J]. 机床与液压,1988(3):2-8.CHEN Yixin,HU Yefa,YANG Hengming,et al. Structural analysis and design of controllable magnetic bearing for machine tool spindle[J]. Machine Tool & Hydraulics,1988(3):2-8.
[4] 张德魁,赵雷,赵鸿滨,等. 磁悬浮轴承内圆磨床电主轴及其控制[J]. 轴承,2000(11):11-13+42. ZHANG Dekui,ZHAO Lei,ZHAO Hongbin,et al. Electric spindle and control of magnetic levitation bearing internal Grinder[J]. Bearing,2000(11):11-13+42.
[5] 朱润生,杨作兴,赵雷,等. 主动磁轴承电主轴的磨削试验[J]. 机械工程学报,2002(6):134-138. ZHU Runsheng,YANG Zuoxing,ZHAO Lei,et al. Grinding test of active magnetic bearing motorized spindle[J]. Journal of Mechanical Engineering,2002(6):134-138.
[6] KIMMAN M,LANGEN H,SCHMIDT R. A miniature milling spindle with active magnetic bearings[J]. Mechatronics,2010,20(2):224-235.
[7] 田胜利. 高速电主轴系统复杂动态特性及其综合测试技术研究[D]. 重庆:重庆大学,2019. TIAN Shengli. Study on complex dynamic characteristics and comprehensive testing technology of high speed motorized spindle system[D]. Chongqing:Chongqing University, 2019.
[8] 乔晓利. 磁悬浮电主轴系统动态分析及振动控制技术综述[J]. 河北科技大学学报,2016,37(5):441-448. QIAO Xiaoli. Magnetic suspension motorized spindle-cutting system dynamics analysis and vibration control review[J]. Journal of Hebei University of Science and Technology,2016,37(5):441-448.
[9] 杨新洲,张钢,吴剑锋,等. 磁悬浮支承铣削电主轴的动力学性能仿真分析[C]//2003大型发电机组振动和转子动力学学术会议,2003,焦作. 2003:5. YANG Xinzhou,ZHANG Gang,WU Jianfeng,et al. Simulation and analysis of dynamic performance of magnetic levitation support milling spindle[C]//2003 Large Generator Vibration and Rotor Dynamics Conference,2003,Jiaozuo. 2003:5.
[10] 李松生,张钢,杨柳欣,等. 新型数控铣床用磁悬浮高速电主轴的设计分析[J]. 制造技术与机床,2005(3):114-116. LI Songsheng,ZHANG Gang,YANG Liuxin,et al. Design and analysis of high-speed magnetic suspension spindle foe CNC milling machine[J]. Manufacturing Technology & Machine Tool,2005(3):114-116.
[11] 李德广,刘淑琴,樊迪. 基于磁悬浮轴承高速电主轴的法向磨削力检测方法[J]. 机械工程学报,2012,48(24):1-7. LI Deguang,LIU Shuqin,FAN Di. Normal grinding force measuring based on high speed magnetic bearing spindle[J]. Journal of Mechanical Engineering,2012, 48(24):1-7.
[12] 柳伟兵. 磁悬浮铣削电主轴振动控制研究[D]. 成都:成都理工大学,2019. LIU Weibin. Study on vibration control of milling spindle with active magnetic bearings[D]. Chengdu:Chengdu University of Technology,2019.
[13] XIE Zhenyu,YU Kun,WEN Liantang,et al. Characteristics of motorized spindle supported by active magnetic bearings[J]. Chinese Journal of Aeronautics,2014,27(6):1619-1624.
[14] SAWICKI J,MASLEN E. Rotordynamic response and identification of AMB machining spindle[C]//the ASME Turbo Expo 2007:Power for Land,Sea,and Air,2007,Montreal,Canada. New York:ASME,2007:977-982.
[15] MENG Jie,LI Shuai,HE Gaofan,et al. Dynamic characteristics analysis on bearingless motorized spindle rotor system[C]//20183rd International Conference on Mechanical,Control and Computer Engineering (ICMCCE),September 14-16,2018,Huhhot,China. New York:IEEE,2018:269-272.
[16] 周瑾,蔡永飞. 磁悬浮轴承-转子系统的理论与试验模态分析[J]. 武汉理工大学学报(信息与管理工程版),2010,32(6):889-891.ZHOU Jin,CAI Yongfei. Theoretical and experimental modal analysis of magnetic bearing-rotor system[J]. Journal of Wuhan University of Technology (Information & Management Engineering),2010,32(6):889-891.
[17] 宋骏琛,欧阳慧珉,张广明. 基于传递矩阵法的磁悬浮轴承转子的动力学分析[J]. 机电工程技术,2014,43(11):11-13+78. SONG Junchen,OUYANG Huimin,ZHANG Guangming. Analyzing dynamic characteristic of high speed motorized spindle on magnetic bearing rotor[J]. Mechanical & Electrical Engineering Technology,2014, 43(11):11-13+78.
[18] ARREDONDO I,JUGO J,ETXEBARRIA V. Modeling and control of a flexible rotor system with AMB-based sustentation.[J]. Isa Transactions,2008,47(1):101-112.
[19] 卞斌,刘淑琴,贺思艳,等. 磁悬浮轴承磨床电主轴中拍振现象的分析[J]. 山东大学学报(工学版),2012, 42(3):133-137+142. BIAN Bin,LIU Shuqin,HE Siyan,et al. Analysis of beat vibration in electric spindle of magnetic bearing grinder[J]. Journal of Shandong University (Engineering Science),2012,42(3):133-137+142.
[20] KUNG H,HUANG B. Vibration in a cracked machine tool spindle with magnetic bearings[J]. Open Mechanical Engineering Journal,2008,2(2):32-39.
[21] 梅荣海. 制造误差对磁力轴承动态特性的影响研究[D].武汉:武汉理工大学,2011.MEI Ronghai. Research on the influence of manufacturing error on dynamic characteristics of magnetic bearing[D]. Wuhan:Wuhan University of Technology,2011.
[22] BARKALLAH M,BOUAZIZ A,CHOLEY J,et al. Cutting parameters and vibrations analysis of magnetic bearing spindle in milling process[J]. Journal of theoretical and applied mechanics,2016,54(3):691-703.
[23] 陈鹏,康辉民,胡斌梁,等. 切削负载下磁悬浮电主轴系统的振动响应分析[J]. 组合机床与自动化加工技术,2019(7):22-25. CHEN Peng,KANG Huimin,HU Binliang,et al. Vibration response analysis of magnetic suspension electric spindle system under cutting load[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2019(7):22-25.
[24] 陈鹏. 控制参数对主动磁悬浮电主轴系统动态特性的影响研究[D]. 湘潭:湖南科技大学,2018. CHEN Peng. Study on influence of control parameters on dynamic characteristics of active magnetic suspension electric spindle system[D]. Xiangtan:Hunan University of Science and Technology,2018.
[25] 方朋杰,乔晓利. 基于主动磁轴承的机床切削系统动态特性分析[J]. 绍兴文理学院学报(自然科学),2017,37(3):46-55. FANG Pengjie,QIAO Xiaoli. Dynamic characteristic analysis of machine tool cutting system based on active magnetic bearing[J]. Journal of Shaoxing University (Natural Science),2017,37(3):46-55.
[26] URIARTE L,ETXANIZ I,ITURBE I,et al. Chatter suppression in a high speed magnetic spindle by adding damping[J]. Journal of Machine Engineering,2014, 14(4):65-74.
[27] JU Ganggang,SONG Qinghua,LIU Zhangqiang,et al. Instantaneous dynamics of multi-Axis milling thin-walled Workpiece with complex curved surface[J]. Materials Science Forum,2016,836-837:529-535.
[28] 丰佳铭. 叶片类零件旋风铣削加工变形研究[D]. 济南:山东大学,2020. FENG Jiaming. Research on the deformation of blades-whirling process[D]. Jinan:Shandong University, 2020.
[29] 闻邦椿,顾家柳,夏松波,等. 高等转子动力学——理论、技术与应用[M]. 北京:机械工业出版社,1999. WEN Bangchun,GU Jianliu,XIA Songbo,et al. Advanced rotor dynamics——theory, technology and application[M]. Beijing:China Machine Press,1999.
[30] 刘晶波,杜修力. 结构动力学[M]. 北京:机械工业出版社,2005.LIU Jingbo,DU Xiuli. Structural dynamics[M]. Beijing:China Machine Press,2005.