Research on the Degradation of the Axial Natural Frequency of the Double-Nut Ball Screw Feed Drive System

doi:10.3901/JME.2022.11.120

Abstract

Abstract: To investigate the degradation of the axial nature frequency of the double-nut ball screw feed drive system, the dynamic equation of the feed drive system on the basis of the distributed parameter method and lumped parameter method is proposed, and the axial stiffness degrading model of the feed drive system based on Archard wear theory is established, on the bais of the axial stiffness degrading model and dynamic equation, the axial nature frequency degrading model is summarized. The frequency response curve of the feed drive system within 1.485 million revolutions is collected, the result shows that the natural frequency dropped to 143.2 Hz from 148 Hz. And the maximum prediction error not exceeding 1 Hz, which strongly proves the accuracy of the axial nature frequency degrading model.

Key words: double-nut ball screw feed system, dynamic model, archard wear theory, axial natural frequency

CLC Number:

TH113

XIE Jinglun, ZHOU Changguang, NIE Conghui, FENG Hutian, ZHOU Huaxi. Research on the Degradation of the Axial Natural Frequency of the Double-Nut Ball Screw Feed Drive System[J]. Journal of Mechanical Engineering, 2022, 58(11): 120-132.

References

[1] FENG Guohua, PAN Yilu. Investigation of ball screw preload variation based on dynamic modeling of a preload adjustable feed-drive system and spectrum analysis of ball-nuts sensed vibration signals[J]. International Journal of Machine Tools and Manufacture, 2011, 52(1):85-96.
[2] DIEGO A, ROGELIO L, FERNANDO J, et al. Modeling and vibration mode analysis of a ball screw drive[J]. The International Journal of Advanced Manufacturing Technology, 2012, 58(1-4):257-265.
[3] FENG Hutian. Dynamics and design basis of ball screw pair[m]. Beijing:Machinery Industry Press, 2014. 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, 2014.
[4] WANG Wei, ZHOU Yanxun, WANG Hao, et al. Vibration analysis of a coupled feed system with nonlinear kinematic joints[J]. Mechanism and Machine Theory, 2019, 134:562-581.
[5] LIU Chang, ZHAO Chunyu, LIU Zhendong, et al. Dynamic analysis of ball screw feed system with the effects of excitation amplitude and design parameters[J]. Applied Sciences, 2021, 11(15):7070.
[6] WANG Min, ZAN Tao, GAO Xiangsheng, et al. Suppression of the time-varying vibration of ball screws induced from the continuous movement of the nut using multiple tuned mass dampers[J]. International Journal of Machine Tools and Manufacture, 2016, 107:41-49.
[7] PISLARU C, FORD D, HOLROYD G. Hybrid modelling and simulation of a computer numerical control machine tool feed drive[J]. Proceedings of the Institution of Mechanical Engineers, Part I:Journal of Systems and Control Engineering, 2004, 218(2):111-120.
[8] ZHANG Wei, ZHANG Xing, ZHANG Jun, et al. Analysis of lead screw pre-stretching influences on the natural frequency of ball screw feed system[J]. Precision Engineering, 2019, 57:30-44.
[9] ZHANG Jun, ZHANG Huijie, DU Chao, et al. Research on the dynamics of ball screw feed system with high acceleration[J]. International Journal of Machine Tools and Manufacture, 2016, 111:9-16.
[10] GU Jianguo, ZHANG Yimin. Dynamic analysis of a ball screw feed system with time-varying and piecewise-nonlinear stiffness[J]. Proceedings of the Institution of Mechanical Engineers, 2019, 233(18):6503-6518:
[11] LIU Niancong. Quantitative analysis for effects of structural stiffness on vibration characteristics of machine tool feed system[J]. Journal of Vibroengineering, 2020, 22(2):241-251.
[12] ZHU Jianmin, ZHANG Tongchao, LI Xiaoru. Dynamic characteristics analysis of ball screw feed system based on stiffness characteristics of mechanical joint[J]. Journal of mechanical engineering, 2015, 51(17):72-82. 朱坚民, 张统超, 李孝茹. 基于结合部刚度特性的滚珠丝杠进给系统动态特性分析[J]. 机械工程学报, 2015, 51(17):72-82.
[13] CHENG Qiang, QI Baobao, LIU Zhifeng, et al. An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions[J]. Mechanism and Machine Theory, 2019, 134:1-23.
[14] ZHOU Changguang, Ren Shihao, FENG Hutian, et al. A new model for the preload degradation of linear rolling guide[J]. Wear, 2021, 482-483.
[15] ZHOU Huaxi, ZHOU Changguang, Wang Xiaoyi, et al. Degradation reliability modeling for two-stage degradation ball screws[J]. Precision Engineering, 2022, 73:347-362.
[16] HU Wei, YANG Zhaojun, CHEN Chuanhai, et al. A weibull-based recurrent regression model for repairable systems considering double effects of operation and maintenance:A case study of machine tools[J]. Reliability Engineering & System Safety, 2021, 213:107669
[17] SHEN Zhixian, QIAO Baijie, LUO Wei, et al. Research on dynamic response characteristics and condition indicators of gear wear fault[J]. Journal of mechanical engineering, 2021, 57(17):120-131. 沈智宪, 乔百杰, 罗巍, 等. 齿轮磨损故障动态响应特征与诊断指标研究[J]. 机械工程学报, 2021, 57(17):120-131.
[18] FU Qiuju. Research on friction and wear of deep groove ball bearing under lean oil lubrication[D]. Nanjing:Nanjing University of Aeronautics and Astronautics, 2014. 付秋菊. 贫油润滑下深沟球轴承的摩擦磨损研究[D]. 南京:南京航空航天大学, 2014.
[19] GAO Hengqiang, CAI Hongjuan, CAI Miao. Finite element analysis of angular contact ball bearing wear based on Archard modified model[J]. Machine tools and hydraulics, 2018, 46 (15):159-164. 高恒强, 蔡红娟, 蔡苗. 基于Archard修正模型的角接触球轴承磨损有限元分析[J]. 机床与液压, 2018, 46(15):159-164.
[20] LI Yanbiao, ZHENG Hang, CHEN Bo, et al. Dynamic modeling and analysis of 5-PSS/UPU parallel mechanism with elastically active branched chains[J]. Chinese Journal of Mechanical Engineering, 2020, 33:33.
[21] GENG Weitao, LIU niancong, CHEN Jianlong, et al. Analysis of the influence of damping on the axial vibration of CNC machine tool table[J]. Tool Technology, 2017, 51(7):116-119. 耿伟涛, 刘念聪, 陈建龙, 等. 阻尼对数控机床工作台轴向振动的影响分析[J]. 工具技术, 2017, 51(7):116-119.
[22] ZHOU Changguang, XIE Jinglun, FENG Hutian. Investigation of the decompression condition of double-nut ball screws considering the influence of the geometry error and additional elastic unit[J]. Mechanism and Machine Theory, 2021, 156(5):154-164.
[23] ZHOU Changguang. Theoretical and experimental investigation of the preload loss of ball screws[D]. Nanjing:Nanjing University of Technology, 2018. 周长光. 滚珠丝杠副预紧力衰退预测及试验研究[D]. 南京:南京理工大学, 2018.
[24] JIN Lan, RUI Zhiyuan, JIANG Haiyuan, et al. Research on prediction of temperature rise of high speed angular contact ball bearing considering interaction between contact parameters and friction heat[J]. Journal of Mechanical Engineering, 2021, 57(7):61-67. 靳岚, 芮执元, 蒋海元, 等. 考虑接触参数与摩擦生热交互影响的高速角接触球轴承温升预测研究[J]. 机械工程学报, 2021, 57(7):61-67.