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该文考虑结合面上微凸体接触为椭圆形接触,运用弹性力学空间半无限体受载荷变形理论,并根据椭圆形接触面上压力分布的Hertz理论,推导出椭圆形接触面的长、短半轴计算式和单个微凸体接触时的切向接触刚度表达式。建立了结合面上微凸体椭圆形接触面的长、短半轴呈二维正态分布、高度呈正态分布情况下的宏观切向接触刚度模型,得到了相应的宏观切向接触刚度表达式。通过数值计算给出了切向接触刚度随结合面的法向载荷、切向载荷、椭圆微凸体的离心率、微凸体分布的相关系数、微凸体测量高度和微凸体分布的标准方差等各影响因素的变化情况,增大法向载荷可以提高结合面的切向接触刚度,而切向载荷的增大会导致切向接触刚度的减小。
In this paper, we consider the asperities contact of the asperities on the surface and the semi-infinite body in the space of elastic mechanics by the theory of load deformation. According to the Hertz theory of the pressure distribution on the elliptical surfaces, Tangential Contact Stiffness Expression for Half Axle Calculation and Single Asperity Contact. The macroscopical tangential contact stiffness model with long and short semi-axes of the asperities on the bond surface and two-dimensional normal distribution of the semi-elliptical contact surface and the normal distribution of the height is established. The corresponding macroscopic tangential contact stiffness is obtained formula. The tangential contact stiffness is given by numerical calculation. The normal load, the tangential load, the eccentricity of elliptical asperities, the correlation coefficient of asperity distribution, the height of asperity measurement and the distribution of asperity are given Variance and other factors, increasing the normal load can improve the contact surface tangential stiffness, and the increase of tangential load will lead to the reduction of tangential contact stiffness.