One-dimensional dynamic microslip friction model

A one-dimensional dynamic microslip friction model, including the damper inertia, is presented in this paper. An analytical approach is developed to obtain the steady-state solution of the resulting nonlinear partial differential equations when subjected to harmonic excitation. In the proposed approach, according to the excitation frequency, a single mode of the system is considered in the steady-state solution for simplicity; consequently, phase difference among spatially distributed points is neglected. Three types of normal load distributions, resulting in distinct stick–slip transitions along the contact interface, are studied. The resulting hysteresis curves and the associated Fourier coefficients are obtained and compared with each other. An equivalent point contact friction model is established and compared with the proposed microslip model, illustrating the effects of partial slip in the contact interface for low amplitude or high normal load applications.