Stochastic response of oscillators with fretting friction

Abstract

In this paper, the steady-state response of oscillators with fretting friction under stochastic excitation is studied, which is a primary work for studying fretting wear from the perspective of stochastic systems. Fretting friction is often described by auxiliary equations. Based on the geometric properties of the fretting friction and the stochastic system, the friction force described by auxiliary equations with non-smooth terms in the stochastic oscillator is remodeled by numerical fitting, and the stationary response is solved. This remodeling approach is based on the principle of stochastic averaging and the physical understanding of random vibrational systems. Stochastic oscillators with friction described by Dahl model and Maxwell slip model are examples to verify the feasibility of the proposed solution method.