Research on Fractal Model of Tangential Contact Stiffness between Cylindrical Surfaces Considering Friction Factors
Research on Fractal Model of Tangential Contact Stiffness between Cylindrical Surfaces Considering Friction Factors
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DOI：
10.3901/jme.2016.23.168
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发表时间：
2016
影响因子：
--
通讯作者：
Che Qi;Zhang Zhen;Liu Peng;Huang Shouwu;Ma Yunbo
中科院分区：
文献类型：
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作者：
Che Qi;Zhang Zhen;Liu Peng;Huang Shouwu;Ma Yunbo
为了精确计算圆柱面之间的切向接触刚度（TCS），本文提出了考虑摩擦因数的圆柱间TCS计算的分形模型的建立。该模型是在两圆柱面的分形接触模型基础上，引入考虑摩擦的弹塑性变形临界接触面积方程，并运用TCS的基本理论得到的。通过运用Matlab对该模型进行模拟，研究了不同参数（如：摩擦系数、分形维数、粗糙度幅值、材料性能参数和圆柱曲率半径）以及接触类型对TCS的影响变化规律。数值结果如下：TCS与法向载荷成正比，随着分形维数的变化分别呈现指数和线性规律。TCS与摩擦系数成反比。材料性能参数对TCS的影响随分形维数的大小以及其自身数值而变化。分形维数与TCS、粗糙度幅值与TCS之间的相关性根据分形维数和材料性能参数的值呈正比或反比。此外，内接触的TCS大于外接触的TCS；TCS随圆柱曲率半径的增大而增大。这里的理论有助于今后分析高副连接面之间的动态特性。
In order to precisely calculate tangential contact stiffness (TCS) between cylindrical surfaces, this paper presents the establishment of fractal model for TCS calculation between cylinders considering friction factors. This model is obtained by introducing the equation of critical contact area of elastoplastic deformation with friction and employing the basic theory of TCS, based on the fractal contact model of two cylinders’ surfaces, and by employing the Matlab to simulate the model, the changing law of TCS affected by different parameters (such as: friction coefficient, fractal dimension, roughness amplitude, material propertied parameters and curvature radius of cylinders) and contact type is investigated. The numerical results are as follows: the relationship between TCS and normal load is direct ratio, which appears exponential and linear rule respectively with variation of fractal dimension. TCS is inverse proportional to friction coefficient. Effect of material propertied parameters on TCS changes with size of fractal dimension as well as the value itself. The correlations between fractal dimension and TCS, roughness amplitude and TCS are direct or inverse proportion depending on the value of fractal dimension and material propertied parameters. Furthermore, TCS of inner contact is bigger than that of outer contact; TCS increases with curvature radius of cylinders. The theory here helps to analyze the dynamic characteristics between high-pair’s joint surfaces in the future.