On the Nonlinear Dynamics of In-Contact Rigid Bodies experiencing Stick-Slip and Wear Phenomena

Abstract

In this paper, the dynamic behavior of one degree-of-freedom oscillator subject to stick-slip and wear phenomena at the contact interface with a rigid substrate is investigated. The motion of the oscillator, induced by a harmonic excitation, depends on the tangential contact forces, exchanged with the rigid soil, which are modeled through nonlinear constitutive laws accounting for stick-slip phenomena due to friction as well as wear due to abrasion. The nonlinear ordinary differential equations governing the problem are derived, whose solution is numerically obtained via a typical Runge–Kutta-based algorithm. The main target of this study is to analyze and discuss the strong nonlinear behavior descending from the presence of stick-slip and wear phenomena, thus investigating the effect of the different interface modeling.