| Author Name | Affiliation | | Wei Zhang | Advanced Manufacturing Technology of the Key Laboratory of Beijing Municipality College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
The Engineering & Training Center, Inner Mongolia University of Science and Technology, Baotou 014010, Inner Mongolia, China | | Min Wang | Advanced Manufacturing Technology of the Key Laboratory of Beijing Municipality College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China | | Bingbing Le | Advanced Manufacturing Technology of the Key Laboratory of Beijing Municipality College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China |
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| Abstract: |
| The contact stiffness and the error analysis have an important effect on the manufacture and the optimization of Ball Linear Guide Feed Unit (BLGFU). In order to analyze the contact stiffness and linear errors or angle errors of BLGFU, in this paper, the contact stress and deformation mechanics between the ball and rail is analyzed. Based on Hertz theory of contact and theory of the multi-body system, a model of the contact stiffness considering the changes in contact angle is established. With the increasing of the external load, the varying trend of the contact deformation can be obtained. Therefore, the motion accuracy degradation of the BLGFU can be analyzed. By using a special experimental device and test system of the rolling linear guide worktable, the horizontal contact stiffness and the vertical linear stiffness are obtained, respectively. By comparing the contact stiffness of the experiment dates and the simulation results, the variation tendency of two curves is consisted and the difference between the measured values and the theoretical values is less than 18%. It is obvious that the model of the contact stiffness considering changes of contact angle has accuracy and feasibility. Thus, while external force point locating at different positions; the contact stiffness and the accuracy analysis of the BLGFU are proved validity by simulations. |
| Key words: ball linear guide feed unit Hertz contact theory contact stiffness accuracy analysis |
| DOI：10.11916/j.issn.1005-9113.16207 |
| Clc Number:TH123+.4 |
| Fund: |
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| Descriptions in Chinese: |
| 直线滚动导轨进给单元刚度及误差分析建模与试验 张巍1,2，王民1，乐兵兵1 (1.北京工业大学机电学院先进制造北京市重点实验室，北京 100124； 2.内蒙古科技大学工程训练中心，内蒙古 包头 014010） 中文说明：随着精密数控机床的发展，迫切需要对机床的关键执行部件进行受力、变形及误差进行更精确的分析。 1）利用多体系统理论对滑块和工作台的对称中心建立坐标系，利用受力和位移平衡方程得到每一个滑块在三维坐标系中的变形量。在通过坐标变换得到工作台的变形量和误差量。 2）对直线进给单元滑块中的每一个滚珠的赫兹变形及受力进行分别求解，考虑了同时承载滚珠的数目。并考虑进给单元受力点相对对称中心的相对位置确定工作台的两直线度误差量和3个旋转量误差量。这对实际工作有积极借鉴作用，实际工况下，可根据切削力的大小和力的作用点的不同对进给执行机构进行误差补偿，从而得到更为精确的加工尺寸。 3）研究中使用高精度的三向力力学传感器（量程范围2kN），利用激光传感器检测直线进给单元受力的微小变形，为更大限度的减小测量误差，试验装置还采用120度对称检测杆，分别测量3个位置的变形误差值，最后对3个误差值进行平均处理。得到的实验值与理论计算值相似程度更高。 |
