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 piecewise nonlinear constitutive laws, accounting for stick–slip phenomena due to friction as well as wear due to abrasion, already developed by the authors in a previous work. 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. In this framework, the analysis is carried out considering the whole evolution of non-smooth contact laws, starting from the virgin interface.

在本文中，研究了一个自由度振荡器在与刚性基板的接触界面处受到粘滑和磨损现象的动态行为。由谐波激励引起的振荡器运动取决于与刚性土壤交换的切向接触力，这些接触力通过分段非线性本构定律建模，考虑了由于摩擦引起的粘滑现象以及由于磨损引起的磨损，作者在以前的工作中已经开发了。推导了控制该问题的非线性常微分方程，其解是通过典型的基于 Runge-Kutta 的算法以数值方式获得的。本研究的主要目标是分析和讨论粘滑和磨损现象带来的强非线性行为，从而研究不同界面建模的影响。在这个框架中，从原始界面开始，考虑了非光滑接触定律的整个演变。