Simulation of a mass-on-belt dynamical model with the Zener viscoelastic support

Abstract

Mass-on-belt models have been developed for the study of stick–slip. For most cases, a linear spring or the Kelvin–Voigt representation form the connection between the inertial reference frame and the mass. Here, the Zener viscoelastic support was included and the linear stability indicate that adequate parameter combinations enhance the stability zone to cope with higher frictional levels. Nonlinear numerical results show that responses are represented by three-dimensional limit cycles. For several conditions, its stable branches of solution presented hysteresis according to the nondimensional belt speed, where the bistability was described by three-dimensional regions of attraction. The results also indicate that the system may present interactions between limit cycles and fixed points, generating a sequence of period increasing bifurcations.