|
|
|
| Relation between friction torque and contact stiffness fluctuation of a double-nut preloaded ball screw mechanism |
| WANG yuan-yuan,HUANG Jin-bao, ZU Li, ZHOU Chang-guang, OU Yi, FENG Hu-tian |
| College of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China |
|
|
|
|
Abstract Currently, only a certain position’s rigidity of a double-nut preloaded ball screw mechanism can be measured in one rigidity measurement, several measurements are needed to get its stiffness fluctuation situation within its effective stroke, each measurement needs to install, disassemble and adjust the measuring device, it is time-consuming and laborious. As a ball screw pair’s friction torque measurement is in a no-load case, in its measurement process, helix angle and contact angle have almost no change, while the effects of axial loading on these two angles are very small in rigid measurement. Here, to acquire contact stiffness fluctuation of a double-nut preloaded ball screw mechanism simply and quickly, the ball of the mechanism firstly was dynamically analyzed, and then the relationship between preload and contact stiffness was established. Combining the equilibrium equation of preload and friction torque, the mathematical model of contact stiffness versus friction torque was established. Friction torques for two different types of double nut preload ball screw mechanisms were measured on a ball screw pair friction torque test table. Static rigidities of the two ball screw pairs were also measured on a ball screw pair static stiffness test table. The test results showed that the contact stiffness is proportional to the 1/3 power of friction torque when an axial load exerted on the ball screw pair is not larger than 2^(3⁄2) times of preload; contact stiffness fluctuation of a double-nut preloaded ball screw mechanism can be reflected by measuring friction torque at different positions within the mechanism’s effective stroke.
|
|
Received: 12 December 2016
Published: 28 May 2018
|
|
|
|
[1] XU Z Z, Liu X J, Kim H K, et al. Thermal error forecast and performance evaluation for an air-cooling ball screw system [J]. International Journal of Machine Tools and Manufacture, 2011, 51(7-8); 605-611.
[2] Wei C C, Lai R S. Kinematical analyses and transmission efficiency of a preloaded ball operating at high rotational speeds[J]. Mechanism and Machine Theory, 2011, 46(7):880-898.
[3] 姜洪奎, 宋现春, 李保民,等. 基于滚珠丝杠副流畅性的滚珠返向器型线优化设计[J]. 振动与冲击, 2012, 31(2):38-42.
JIANG Hong-kui, SONG Xian-chun, LI Bao-min, et al. Optimal design of passage profile of a ball returner based on fluency of a ball screw mechanism[J]. Journal of Vibration and Shock, 2012, 31,(2):38-42.
[4] 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. Modeling Modeling of Ball Screw Feed System [J]. Journal of Vibration and Shock, 2013, 32 (3): 46-49.
[5] 吴子英, 刘宏昭, 王胜,等. 数控机床进给伺服系统研究进展[J]. 振动与冲击, 2014, 33(8):148-155.
WU Ziying，LIU Hongzhao，WANG Sheng，et al. Advances in Feeding Servo System of CNC Machine Tool [J]. Journal of Vibration and Shock, 2014, 33 (8): 148-155.
[6] Feng G H，Pan Y L．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 & Manufacture, 2012, 52(1):85-96.
[7] 王民, 李凤蛟, 昝涛,等. 基于多重调谐质量阻尼器的滚珠丝杠副横向振动控制[J]. 振动与冲击, 2015(10):63-67.
WANG Min, LI Feng-jiao, ZAN Tao, et al. Transverse vibration control of ball screw based on multi-tuned mass damper [J]. Journal of Vibration and Shock, 2015 (10): 63-67.
[8] 朱坚民, 张统超, 王健,等. 数控机床进给单元滚动结合部轴向动态特性参数识别[J]. 振动与冲击, 2015, 34(16):1-7.
ZHAO Jian-min, ZHANG Tong-chao, WANG Jian, et al.Characteristics of Axial Dynamic Characteristic Parameter Identification of Rolling Bonding Unit of CNC Machine Tool Feeding Unit [J]. Vibration and Shock, 2015, 34 (16): 1-7.
[9] Kazuki TAKAFUJI，Katuhiro NAKASHIMA. Stiffness of a ball screw with consideration of deformation of the Screw, Nut and Screw Thread [J].JSME International Journal, 1990,vol.33, No.4.
[10] 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.
[11] 黄露郎, 王科社, 查初亮. 滚珠丝杠副轴向静刚度的建模与研究[J]. 组合机床与自动化加工技术, 2015(8):39-42.
HUANG Lu-lang, WANG Ke-she, QIU Xiao-liang.Study and Research on Axial Static Stiffness of Ball Screw [J]. Combined Machine Tool and Automation Processing Technology, 2015 (8): 39-42.
[12] 胡建忠,王民等.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):60-69.
HU Jiang-zhong, WANG Min, et al. Axial Contact Stiffness Analysis of Position Preload Ball Screw Mechanism[J]. Journal of mechanical engineering, 2014, 50(7):60-69.
[13] Wei C C, Lai R S. Kinematical analyses and transmission efficiency of a preloaded ball screw operating at high rotational speeds[J]. Mechanism & Machine Theory, 2011, 46(7):880-898.
[14] Chin Chung Wei, Jen Fin Lin, Jeng-Haur Horng. Analysis of a ball screw with a preload and lubrication[J]. Tribology International 2009, 42; 1816–1831.
[15] BS ISO3408-4 Static axial rigidity, 2006.
[16] Zhou C G, Feng H T, Chen Z T, et al. Correlation between preload and no-load drag torque of ball screws[J]. International Journal of Machine Tools & Manufacture 102 (2016) 35–40.
[17] BS ISO3408-3 Acceptance conditions and acceptance tests, 2006.
[18] 周福兴, 王禹林, 韩军,等. 滚珠丝杠副刚性试验台加载及测量系统工装设计[J]. 组合机床与自动化加工技术, 2016(4):113-116.
Zhou Fuxing, Wang Yu Lin, Han Jun, etc. Test rigid ball screw loading station tooling design and measurement system [J] in combination with the automatic machine processing technology, 2016 (4): 113-116. |
|
|
|
