Global and local dynamics of drifting oscillator for different contact force models

Abstract

Accurate description of the contact force between two impacting solid bodies is important in various engineering applications. This paper examines the effects of contact force models on the global and local dynamics of a drifting oscillator. Three contact force models are considered in this study, namely the Kelvin–Voigt (KV), the Hertz stiffness (HS) and the non-linear contact stiffness and damping (NSD) models. The non-linear analysis of the considered system shows that the local and global dynamic behaviour depend on the choice of contact force model. The short-term (local) dynamic response for the system are almost identical for all the three models. However, results for the long-term (global) dynamics of the system depend on the choice of contact force model; while the results for HS model are topologically similar to those of the KV model, the corresponding results for NSD are different from the other two models.