考虑预紧力和接触角变化的直线滚动导轨副刚度建模与分析  

Stiffness Modeling and Analysis Considering Influences of Preload and Contact Angle of a Linear Rolling Guide

作　　者：张巍[1,2] 王民 孙乐乐[1] ZHANG Wei;WANG Min;SUN Lele(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;Engineering & Training Center,Inner Mongolia University of Science and Technology,Baotou 014010,Inner Mongolia,China)

机构地区：[1]北京工业大学机械工程与应用电子技术学院先进制造技术北京市重点实验室,北京100124 [2]内蒙古科技大学工程训练中心,内蒙古包头014010

出　　处：《北京工业大学学报》2018年第1期56-63,共8页Journal of Beijing University of Technology

基　　金：国家科技重大专项资助项目(2012ZX04010-021-04);北京自然科学基金资助项目(3154029;KZ201410005010)

摘　　要：为了求得任意外载荷对滚珠直线导轨副各个方向的变形量的影响,运用齐次变换矩阵建立了滚珠直线导轨副的接触刚度模型.该模型分析了滚珠直线导轨副在预紧力和接触角变化的情况下,不同列滚珠受载的弹性变形量的大小,分别得到了一定载荷下滚动导轨副沿垂直方向和水平横向上的变形量和绕3个正交轴旋转的偏转角.进而,得到滚动导轨副的垂直、水平横向2个方向上的线性刚度和3个方向的扭转刚度.对所建模型进行了仿真计算与分析,并与实际情况对比,找到了直线滚动导轨预紧力和接触角对其刚度的影响规律.To calculate the deformation of a rolling linear guide in all directions under any external load,a model of contact stiffness of roller linear guides was set up by the homogeneous transformation matrix.The model calculated the elastic deformations of different balls by the presence of under any external load considering the changing preload and contact angle.The elastic deformations along two axes and three deflection angles around three axes were calculated.Furthermore,the linear stiffness of two directions and the torsional stiffness of three directions were obtained.The stiffness models were analyzed and compared with the actual situation.The simulation analysis prove that these mathematics models are right.The influence laws under the changing preload and the contact angle of the rolling linear guide to its stiffness are found.

关 键 词：直线滚动导轨副 齐次变换矩阵 预紧力 接触角 接触刚度 

分 类 号：TH115[机械工程—机械设计及理论]