Research on Fractal Model of Tangential Contact Stiffness between Cylindrical Surfaces Considering Friction Factors

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 wi