基于偏心式变曲率沟槽的高精度球体加工理论与试验研究

doi:10.3901/JME.2019.09.183

机械工程学报 ›› 2019, Vol. 55 ›› Issue (9): 183-190.doi: 10.3901/JME.2019.09.183

基于偏心式变曲率沟槽的高精度球体加工理论与试验研究

郭伟刚^1,2, 袁巨龙¹, 周芬芬³, 项震¹, 赵萍¹, 吕冰海¹

1. 浙江工业大学超精密加工研究中心杭州 310014;
2. 杭州职业技术学院杭州 310018;
3. 台州学院机械工程学院台州 318000

收稿日期:2018-03-09 修回日期:2018-09-16 出版日期:2019-05-05 发布日期:2019-05-05
通讯作者: 赵萍(通信作者),女,1963年出生,副教授。主要研究方向为超精密加工技术及装备。E-mail:zhaoping@zjut.edu.cn
作者简介:郭伟刚,男,1980年出生,博士研究生,教授。主要研究方向为超精密加工技术及装备。E-mail:guoweigang2004@126.com;袁巨龙,男,1962年出生,博士,教授,博士研究生导师。主要研究方向为超精密加工技术及装备。E-mail:jlyuan@zjut.edu.cn
基金资助:
国家自然科学基金（U1401247，U1604254，51375455）和浙江省公益公用技术应用性（2017C31113）资助项目。

Theoretical and Experimental Research on Processing Balls with Eccentric Variable-radius V-groove

GUO Weigang^1,2, YUAN Julong¹, ZHOU Fenfen³, XIANG Zhen¹, ZHAO Ping¹, LÜ Binghai¹

1. Ultra-precision Machining Center, Zhejiang University of Technology, Hangzhou 310014;
2. Hangzhou Vocational and Technical College, Hangzhou 310018;
3. School of Mechanical Engineering, Taizhou University, Taizhou 318000

Received:2018-03-09 Revised:2018-09-16 Online:2019-05-05 Published:2019-05-05

摘要/Abstract

摘要： 提出基于偏心式变曲率沟槽的高精度球体批量加工方法，加工过程中球体运动状态随磨盘沟槽曲率半径的变化而变化，送料机构将球体从磨盘外沿的出料口依序送至磨盘中心的入料口进行循环加工。基于纯滚动运动假设，建立单颗球体几何运动学模型，通过旋转坐标变换计算并仿真球面加工轨迹。在自主研发的偏心式变曲率沟槽加工系统上进行加工试验，对球体运动的宏观验证试验结果与仿真结果一致，证明了所建的运动学模型的有效性。在加工试验研磨阶段球体的批直径变动量、球度偏差及表面粗糙度偏差均得到明显改善并逐渐收敛，抛光阶段后得到单颗球体最好的球度值为0.114 μm，表面粗糙度Ra为9 nm。

关键词: 加工轨迹, 精密球, 偏心式变曲率沟槽, 一致性, 运动学

Abstract: A new batch processing method for precision balls with eccentric variable-radius groove plate (EVGP) is proposed. In this method the motion state of ball is continuously changed with the variation of the groove radius as the ball moving along the groove. Balls can be one by one from the outlet along processing plate edge to the inlet in the center of plate by employed cycling feeding transporter. Based on the assumption of pure rolling motion, the geometric kinematic model of a single ball is built, and then the processing trajectory on the spherical surface can be obtained by rotation coordinate transformation. Processing experiment is carried out on the EVGP equipment which is self-manufactured. The experimental results of observation are agreement with simulation results. Thereby the kinematic model is proved to be valid. There are three stages which are fine lapping, super fine lapping and polishing in processing experiment. In the lapping stage, the variation of ball lot diameter, sphercity and the deviation of surface roughness Ra have been improved significantly and gradually to be convergence. After the final polishing stage, the best polishing results of a single ball achieved are surface roughness Ra of 9 nm and sphericity of 0.114 μm.

Key words: consistency, eccentric variable-radius v-groove, kinematics, precision balls, processingtrajectory

中图分类号:

TH145
TH140

郭伟刚, 袁巨龙, 周芬芬, 项震, 赵萍, 吕冰海. 基于偏心式变曲率沟槽的高精度球体加工理论与试验研究[J]. 机械工程学报, 2019, 55(9): 183-190.

GUO Weigang, YUAN Julong, ZHOU Fenfen, XIANG Zhen, ZHAO Ping, LÜ Binghai. Theoretical and Experimental Research on Processing Balls with Eccentric Variable-radius V-groove[J]. Journal of Mechanical Engineering, 2019, 55(9): 183-190.

参考文献

[1] ZHUO Y, ZHOU X,YANG C. Dynamic analysis of double-row self-aligning ball bearings due to applied loads,internal clearance,surface waviness and number of balls[J]. Journal of Sound & Vibration,2014,333(23):6170-6189.
[2] BARZDAITIS V,BARZDAITIS V V,MASKVYTIS R,et al. New deep groove ball bearings high frequencies vibration testing[J]. Mechanika,2014,20(3):287-293.
[3] NOGUCHI S,HIRUMA K,KAWA H,et al. The Influence of location of balls and ball diameter difference in rolling bearings on the nonrepetitiverunout (NRRO) of retainer revolution[J]. Precision Engineering,2005,29(1):11-18.
[4] 袁巨龙,张飞虎,戴一帆,等. 超精密加工领域科学技术发展研究[J]. 机械工程学报,2010,46(15):161-177. YUAN Julong,ZHANG Feihu,DAI Yifang,et al. Development research of science and technologies in ultra-precision machining field[J]. Journal of Mechanical Engineering,2010,46(15):161-177.
[5] INAGAKI K,ABE K. Evaluation of performance of minute sphere grinders prepared for trial[R]. Sendai:Tohoku University,1976,25,1,49-65.
[6] ZHANG B,NAKAJIMA A,NAKAJIMA A. Spherical surface generation mechanism in the grinding of balls for ultraprecision ball bearings[J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology,2000,214(4):351-357.
[7] LEE R T,HWANG Y C,CHIOU Y C. Lapping of ultra-precision ball surfaces. Part I. Concentric V-groove lapping system[J]. International Journal of Machine Tools & Manufacture,2006,46(10):1146-1156.
[8] 黑部利次. ヤラミックスの球超精密研磨[J]. 机械と工具,1990,34(2):43-49. KUROBE T. Super precision polishing of YARA mix ball.[J] Machine and Tool, 1990, 34(2):43-49.
[9] KUROBE T,KAKUTA H,ONODA M. Spin angle control lapping of balls (1streport) - theoretical analysis of lapping mechanism[J]. Journal of the JapanSociety for Precision Engineering,1996,62(12):1773-1777.
[10] KUROBE T,KAKUTA H,ONODA M. Spin angle control lapping of balls (2streport) - theoretical analysis of lapping mechanism[J]. Journal of the Japan Society for Precision Engineering,1997,63(5):726~730.
[11] KUROBE T,MORITA T,TSUCHIHASHI N. Super fine finishing of Si_3N_4 ceramic ball using spin angle controlled machining method[J]. Journal of the Japan Society for Precision Engineering Contributed Papers,2004,70(11):1392-1396.
[12] 吕冰海. 陶瓷球双转盘研磨方式及成球机理的研究[D]. 哈尔滨:哈尔滨工业大学,2007 LÜ Binghai. Research on the rotated dual-plates lapping mode of ceramic ball and sphere-shaping mechanism[D]. Harbin:Harbin Institute of Technology,2007.
[13] 冯铭. 螺旋式沟槽磨盘加工高精度球体的探索研究[D].杭州:浙江工业大学,2013. FENG Ming. A basis exploration on processing high-precision balls by spiral groovelapping plate[D]. Hangzhou:Zhejiang University of Technology,2013.
[14] 郁炜,吕冰海,姚蔚峰,等. 基于ADMAS的球体双自转研磨方式下研磨盘转速优化研究[J]. 中国机械工程,2013,24(7):866-872. YU Wei,LÜ Binghai,YAO Weifeng,et al. Speed optimization for lapping plates in RDP lapping mode based on ADAMS[J]. China Mechanical Engineering,2013,24(7):866-872.
[15] YUAN J L,CHEN L N,ZHAO P,et al. Study on sphere shaping mechanism of ceramic ball for lapping process[J]. Key Engineering Materials,2004,259-260:195-200.
[16] CHENG X,LIN F,SUN X,et al. Lapping motional trajectory analysis on sphere rotor of electrostatic gyroscope[J]. Manufacturing Technology & Machine Tool,2009,30(9):90-93.
[17] LIU D,DENG Q F,LV B H,et al. Simulation and analysis for spin angle track of the ball machined by dual rotation plates lapping method[J]. Applied Mechanics & Materials,2010,37-38:1148-1152.
[18] ZHAO P,GUO W,FENG M,et al. A novel lapping method for high precision balls based on variable-radius v-groove[J]. Journal of Micro and Nano-Manufacturing,2013,1(4):041007.

基于偏心式变曲率沟槽的高精度球体加工理论与试验研究

Theoretical and Experimental Research on Processing Balls with Eccentric Variable-radius V-groove

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