复合载荷下滚珠丝杠副全滚珠载荷分布建模与分析

doi:10.3901/JME.2020.17.126

机械工程学报 ›› 2020, Vol. 56 ›› Issue (17): 126-136.doi: 10.3901/JME.2020.17.126

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复合载荷下滚珠丝杠副全滚珠载荷分布建模与分析

赵佳佳^1,2,3, 林明星^1,2,3, 宋现春^1,2,3, 骆伟超^1,2,3, 宋丽伟⁴

1. 山东大学机械工程学院济南 250061;
2. 山东大学教育部高效洁净机械制造重点实验室济南 250061;
3. 山东大学国家机械工程实验教学示范中心济南 250061;
4. 济南二机床集团有限公司济南 250022

收稿日期:2019-08-13 修回日期:2020-01-08 出版日期:2020-09-05 发布日期:2020-10-19
通讯作者: 林明星(通信作者),男,1966年出生,博士,教授,博士研究生导师。主要研究方向为智能装备、机器人及机器视觉技术。E-mail:mxlin@sdu.edu.cn
作者简介:赵佳佳,男,1987年出生,博士研究生。主要研究方向为机械传动与智能控制。E-mail:zhaojia0922@126.com
基金资助:
国家自然科学基金（51475267，51375279）和国家科技重大专项（2012ZX04002013）资助项目。

Modeling and Analysis of Full Ball Load Distribution of Ball Screw with the Combined Load

ZHAO Jiajia^1,2,3, LIN Mingxing^1,2,3, SONG Xianchun^1,2,3, LUO Weichao^1,2,3, SONG Liwei⁴

1. School of Mechanical Engineering, Shandong University, Jinan 250061;
2. Key Laboratory of High-efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan 250061;
3. National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061;
4. JIER Machine-Tool Group Co. LTD, Jinan 250022

Received:2019-08-13 Revised:2020-01-08 Online:2020-09-05 Published:2020-10-19

摘要/Abstract

摘要： 滚珠丝杠副是将旋转运动转换直线运动的精密驱动部件，对数控机床的传动精度有着重要影响。在外载荷作用下以往都是假定所有滚珠与滚道的接触载荷均匀一致的，忽略了各滚珠接触载荷的差异性，严重影响滚珠丝杠副定位误差补偿的准确性。为提高定位精度，提出一种全滚珠载荷分布模型，分析了在轴向载荷和径向载荷复合作用下所有滚珠动静态接触载荷分布状况。通过与有限元建模分析比较，验证模型的准确性。在此基础上分析了滚珠几何误差对滚珠动静态接触载荷分布的影响。基于全滚珠载荷分布模型和弹性变形理论，利用数值仿真获得复合载荷下滚珠丝杠副的位置偏差及位置跳动量变化情况。试验结果表明，提出的复合载荷作用下考虑滚珠几何误差的载荷分布模型，对提高滚珠丝杠副的位置精度预测及其定位误差补偿有较好的参考意义。

关键词: 滚珠丝杠副, 复合载荷, 载荷分布, 接触变形, 位置精度

Abstract: Ball screws are the driving component used to convert rotational motion to linear motion, which has an important influence on the transmission accuracy of machine tools. Under the action of load, it is often assumed that the contact load between balls and raceways is uniform and the difference of contact load for balls is ignored, which seriously affect the accuracy of position error compensation for ball screws. In order to improve the position accuracy, a full ball load distribution model is proposed, and the dynamic and static contact load distribution of balls under the axial and radial coupled load is analyzed. The consistency of the model is verified by comparing with the finite element analysis. On this basis, the influence of geometric error on the dynamic and static contact load distribution of balls is analyzed. Based on the full ball load distribution model and elastic deformation theory, the position deviation and position variation of ball screw under the coupled load is obtained by numerical simulation. The experimental results show that the proposed load distribution model, which take the geometric errors of balls into account, has a good reference significance for improving the position deviation prediction and position error compensation of ball screws.

Key words: ball screw, combined load, load distribution, contact deformation, position precision

中图分类号:

TG156

赵佳佳, 林明星, 宋现春, 骆伟超, 宋丽伟. 复合载荷下滚珠丝杠副全滚珠载荷分布建模与分析[J]. 机械工程学报, 2020, 56(17): 126-136.

ZHAO Jiajia, LIN Mingxing, SONG Xianchun, LUO Weichao, SONG Liwei. Modeling and Analysis of Full Ball Load Distribution of Ball Screw with the Combined Load[J]. Journal of Mechanical Engineering, 2020, 56(17): 126-136.

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复合载荷下滚珠丝杠副全滚珠载荷分布建模与分析

Modeling and Analysis of Full Ball Load Distribution of Ball Screw with the Combined Load

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