Modeling the elastic contact angle of preloaded ball screw pair with non-ideal double-arc raceway considering radial clearance

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (20) : 181-187.

JIANG Hongkui 1 SONG Xianchun 1 XU Xiangrong 1 LI Yanfeng 1 WANG Leyuan 1 DU Wei 2 RONG Bo-song 2

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Abstract

Double-arc raceway (Gothic raceway) is widely adopted in precision ball screw mechanism because it can made the ball screw’s mechanical properties such as bearing capacity, stiffness and transmission accuracy more stable.However, it is more difficult to manufacture and measure the double-arc raceway, and non-ideal raceway are often obtained in practical production.The geometric errors of raceway and radial clearance seriously affect the overall performance of the precision ball screw.In order to improve the assembling quality of ball screw pair, a mathematical model of elastic contact angle of double nut ball screw mechanism with non-ideal profile under pretention load was established based on the Hertz elastic contact theory and the deformation compatibility principle, considering initial radial clearance.The proposed model was verified by applying the model into the calculation of contact angle of split inner-ring ball bearing.Taking the example of double nut ball screw mechanism 3210, the influences of tolerance of raceway and ball diameter on elastic contact angle were analyzed.This method can provide a theoretical reference for optimization design of ball screw, and the intelligent optimization of assembly.

Key words

ball screw mechanism / elastic deformation contact angle / radial clearance / Hertz contact / raceway error

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JIANG Hongkui 1 SONG Xianchun 1 XU Xiangrong 1 LI Yanfeng 1 WANG Leyuan 1 DU Wei 2 RONG Bo-song 2 . Modeling the elastic contact angle of preloaded ball screw pair with non-ideal double-arc raceway considering radial clearance[J]. Journal of Vibration and Shock, 2019, 38(20): 181-187

References

[1] 冯虎田. 滚珠丝杠副动力学与设计基础[M]. 北京：机械工业出版社, 2015.
[2] WEI C C, LIN J F. Kinematic analysis of the ball screw mechanism considering variable contact angles and elastic deformations[J]. Journal of Mechanical Design, 2003, (04):717-733.
[3] Xu N, Tang W, Chen Y, et al. Modeling analysis and experimental study for the friction of a ball screw[J]. Mechanism & Machine Theory, 2015, 87:57-69.
[4] 陈勇将, 汤文成, 王洁璐. 滚珠丝杠副刚度影响因素及试验研究[J]. 振动与冲击, 2013, 32(11):70-74.
CHEN Yong-jiang, TANG Wen-cheng, WANG Jie-lu. Influence factors on stiffness of a ball screw[J]. Journal of vibration and shock, 2013, 32(11): 70-74.
[5] Tao L, Wang Y, He Y, et al. A numerical method for evaluating effects of installation errors of grinding wheel on rotor profile in screw rotor grinding[J]. Proceedings of the Institution of Mechanical Engineers Part B Journal of Engineering Manufacture, 2016, 230(8).
[6] 张学宁, 韩勤锴, 褚福磊. 基于简化Jones-Harris方法的球轴承接触角研究[J]. 振动与冲击, 2013, 32(13):170-175.
ZHANG X, HAN Q, CHU F. Research on contact angle of ball bearings based on simplified Jones-Harris method[J]. Journal of Vibration and Shock, 2013, 32(13):170-175.
[7] Chen J S, Huang Y K, Cheng C C. Mechanical model and contouring analysis of high-speed ball-screw drive systems with compliance effect[J]. International Journal of Advanced Manufacturing Technology, 2004, 24(3-4):241-250.
[8] 王燕霜, 袁倩倩, 曹佳伟, 李璞, 李燕. 特大型双排四点接触球轴承承载能力的研究[J]. 机械工程学报, 2014, 09：65-70.
WANG Yan-shuang, YUAN Qian-qian, CAO Jia-wei, LI Pu, LI Yan. Research on Static Load--carrying Capacity of Large Size Double Row Four-point Contact Ball Bearings[J]. Chinese Journal of Mechanical Engineering, 2014, 50(09):65-70.
[9] 胡建忠, 王民, 高相胜, 等. 双螺母定位预紧滚珠丝杠副轴向接触刚度分析[J]. 机械工程学报, 2014, 50(7)：106-113.
HU Jian-zhong, WANG Min, GAO Xiang-sheng, et al. Axial contact stiffness analysis of position preloaded ball screw mechanism[J]. Chinese Journal of Mechanical Engineering, 2014, 50(7):106-113.
[10] Wang Q, Lin M. Electromechanical coupling measurement of a new giant magnetostrictive structure for double-nut ball screw pre-tightening[J]. Measurement Science & Technology, 2016, 27(12):125906.
[11]赵国平,范元勋,张立柱,等.高负荷滚珠丝杠副弹塑性变形与失效的理论与试验研究[J].南京理工大学学报(自然科学版),2016,40(01):89
Zhao Guoping,Fan Yuanxun,Zhang Lizhu,et al.Theoretical and experimental research of plastoelastic deformationand failure of ball screw under high load condition[J].Journal of Nanjing University of Science and Technology,2016,40(01):89.
[12] 赵训贵, 平舜娣. 滚珠丝杠螺纹滚道参数误差对接触角和变位导程及摩擦力矩的影响及其相互关系[J]. 磨床与磨削,1995(3)：6-15.
[13] 李梦奇, 庾辉, 李冬英,等. 面向结构参数的滚珠丝杠副动态接触角建模[J]. 农业工程学报, 2016(4):98-104.
Li Meng-qi, Yu Hui, Li Dong-ying, Wang Bin, Zhang Gen-bao. Modeling for dynamic contact angle of ball screw mechanism aimed to structural parameters[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(4): 98-104.
[14] 王永强, 张承瑞. 滚珠丝杠进给系统仿真建模[J]. 振动与冲击, 2013, 32(3):46-49.
WANG Yong-qiang, ZHANG Cheng-rui. Simulation modeling of a ball screw feed drive system[J]. Journal of Vibration and Shock, 2013, 32(3):46-49.
[15] 黄俊, 袁军堂, 汪振华. 双驱动进给系统动态建模及变化规律研究[J]. 振动与冲击, 2017, 36(18):148-153.
HUANG Jun, YUAN Juntang ,WANG Zhenhua. Dynamic modeling of a dual-drive system and its dynamic characteristics[J]. Journal of Vibration and Shock, 2017, 36(18):148-153.
[16] 杨勇, 张为民, 仇炜谏, 陈盛. 基于模态综合法与动态凝聚的滚珠丝杠进给系统状态空间建模与实验验证[J]. 振动与冲击, 2017, 36(13):53-59.
YANG Yong, ZHANG Weimin, QIU Weijian, et al. State space modeling and test verification for a ball screw feed system based on modal synthesis and dynamic condensation[J]. Journal of Vibration and Shock. 2017, 36(13):53-59.
[17] HARRIS T A, Rolling bearing analysis[M]. NewYork: John Wiley and Sons Inc, 2006.
[18] 姜洪奎;李彦凤;马建春，等. 非等适应比滚道的滚珠丝杠副弹性变形接触角的确定方法[P]. 中国CN201510512754.X，20151209.