Modelling of the three-dimensional friction contact of vibrating elastic bodies with rough surfaces

Abstract

Friction contact appears to be an intricate nonlinear coupling in modelling engineering structures. With vibration systems, it can serve as a dampening element for reducing the stress range. The contribution deals with the modelling of the 3D dry friction elastic contact. The influence of surface roughness on its normal and tangential stiffness, both of nonlinear nature, is being considered. The model also allows a change of the normal contact force and of the applied moment of force in the course of a vibration cycle. The equations of the proposed mathematical model have been solved using direct integration.