Non Linear Dynamic Behaviour Modelling of a Planar Friction Interface in a Structure Assembly

Abstract

This paper deals with the energy losses caused by micro-slip in a planar interface of a structure. Taking into account friction in the joints during the analysis of dynamic systems remains difficult. This paper proposes an analytical study of flexural vibrations of a clamped-clamped beam, the novelty of this experiment is that the position of the interfaces has never been tested before to our knowledge. First, the authors described the benchmark and justified the choice of the position of the interfaces. The second section presents the displacement and stress fields during each phase of the loading process in the joints under the assumption of quasi static motion. In the third part, the authors calculated the energy dissipated by friction in the interface on a loading cycle. This leads to a definition of the energy dissipated by friction in the interface and thus to a non linear loss factor. This loss factor is then optimized according to the height of the beam. In the last part of the paper, the dynamic response of the beam is calculated using this non linear loss factor.