一个新的干摩擦结合部法向接触阻尼方程  

A novel expression of normal contact damping for dry tribology joint interface

作　　者：田红亮[1] 严峥嵘[2] 郑金华[1] 张屹[1] 

机构地区：[1]三峡大学机械与动力学院,湖北宜昌443002 [2]三峡大学电气与新能源学院,湖北宜昌443002

出　　处：《哈尔滨工业大学学报》2016年第1期133-140,共8页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金面上基金(51275273);三峡大学博士科研启动基金(KJ2012B013)

摘　　要：依照矫正分形几何学理论与Hertz法向接触力学方程,建立新柔性结合部法向接触阻尼方程.考虑变化凸起顶端曲率半径与连续载荷,推出一种求导函数但非偏导函数获取办法,构建2个凸起之间互相作用的法向接触刚度方程.研究结果表明:法向接触阻尼随着表面粗糙轮廓分形维数的增大而先下降后增加;当表面粗糙轮廓分形维数小于第一拐点时,法向接触阻尼随着分形粗糙度的增大而增大;当表面粗糙轮廓分形维数大于第一拐点时,法向接触阻尼随着分形粗糙度的增大而减小;法向接触阻尼随着法向接触载荷的增大而先减小后增大.仿真曲线图中的2个拐点和1个极小值点为干摩擦结合部接触参数的优化设计提供了依据.A new formula of normal contact damping for geometry theory and Hertz normal contact mechanics tip of the summit and continuous load, the attaining was induced to get two summits＇ interacting normal flexible joint interface was given by the revision fractal equation. Considering the changeable curvature radius at the way of differentiable function not partial differential function contact stiffness formula. The numeral curves imply that the normal contact damping decreases firstly and afterwards increases with the augment of fractal dimension of the surface raspy profile. When the fractal dimension of the coarse surface profile is smaller than the first inflection point, the normal contact damping enhances with the increase of fractal roughness. If the fractal dimension is larger than the first inflexion point, the normal contact damping reduces with the increase of fractal roughness. As the normal contact load improves, the normal contact damping firstly diminishes whereafter gains. Two inflection points and one extreme small point in the simulation curves might provide the reference for the optimization design of these contact parameters in dry tribological joint interface.

关 键 词：干摩擦结合部 法向接触阻尼 分形几何学理论 法向接触载荷 拐点 

分 类 号：TH113.1[机械工程—机械设计及理论]