Modeling of Frictional Stick-Slip of Contact Interfaces Considering Normal Fractal Contact
Abstract In this paper, a physics-based approach is proposed to represent the tangential frictional stick-slip behaviors of contact interfaces in mechanical systems. The modeling idea of the discrete Iwan model is adopted, where the yield forces of Jenkins elements are determined by considering the surface fractal feature and normal loading conditions. Initially, surrogate asperities are defined to express the fractal features of the contact surface topography, and Jenkins elements are used to describe the tangential stick-slip motions between surrogate contact asperities. Then, a geometric series distribution principle of the normal loads at contact asperities is proposed to determine the yield forces of the Jenkins elements. The criterion for identifying the micro- and macro-slips of the contact interfaces is proposed, which are determined by the stick and slip conditions of the largest contact spot. An experimental setup for measuring frictional stick-slip of contact interfaces was constructed, upon which tangential quasi-static experiments were conducted. Satisfactory agreements between the theoretical and experimental results indicates that the proposed modeling approach can perfectly predict the stick-slip behavior of the contact interfaces. Finally, mechanical characteristics of the contact interfaces were investigated in detail by employing the validated modeling approach. Owing to the definite physical significance of the proposed modeling approach, the mechanism of the tangential stick-slip behavior of contact interfaces is partially demonstrated.