直线滚动导轨非赫兹接触静刚度模型  

Non Hertz contact static stiffness model of linear rolling ruide

作　　者：马雅丽[1] 关成洋 Ma Yali;Guan Chengyang(School of Mechanical Engineering,Dalian University of Technology,Liaoning Dalian,116024,China)

机构地区：[1]大连理工大学机械工程学院,辽宁大连116024

出　　处：《机械设计与制造工程》2023年第5期73-78,共6页Machine Design and Manufacturing Engineering

基　　金：国家科技重大专项(2015ZX04014-021)。

摘　　要：为建立导轨非赫兹接触静刚度模型,首先给出并求解了一般性点接触问题的基本方程,将其应用到单滚动体和滚道的非赫兹接触问题中进行非赫兹接触分析;其次用拟合精度较高的四阶线性方程拟合出了单滚动体和滚道的静刚度模型;再次基于齐次坐标矩阵法与单滚动体和滚道非赫兹接触静刚度模型建立了滚动导轨非赫兹接触静刚度模型;最后以某一滚动导轨为例求解并分析了非赫兹接触下的五自由度静刚度,结果表明用赫兹接触理论求解非赫兹接触下的导轨静刚度误差最大可达33%。The accuracy of the static stiffness model based on Hertz contact theory is not high when the compactness of the rolling body and the raceway is high.In order to establish the non Hertz contact static stiffness model of the guide rail,the basic equation of the general point contact problem is given and applied to the non Hertz contact problem of single rolling body and raceway,and the non Hertz contact analysis of single rolling body and raceway is carried out.Secondly,the fourth-order linear equation with high fitting accuracy is used to fit the static stiffness model of single rolling body and raceway.Based on the homogeneous coordinate matrix method and the non Hertz contact static stiffness model of single rolling body and raceway,the non Hertz contact static stiffness model of rolling guideway is established.Finally,a rolling guide is taken as an example to solve and analyze the static stiffness of five degrees of freedom under non Hertzian contact.The analysis shows that the maximum error of Hertz contact theory is 33%.

关 键 词：滚动导轨 接触刚度 非赫兹接触 静刚度模型 

分 类 号：TH132.46[机械工程—机械制造及自动化]