Study on Nonlinear Vibration of Continuum System With Gaps Considering Energy Dissipated by Collision

This paper deals with nonlinear vibration of a continuum system with gaps under random waves considered collision phenomena. In order to investigate this nonlinear vibration characteristic, experiments are carried out with an experimental apparatus consisting of a nonlinear vibration system. Moreover, an analytical model of the cubic equation is proposed based on the restoring force characteristics in the experiments. This analytical model is used for the simulation analysis, and its results are compared with the experimental results. However, the results show differences between thick plates and thin plates in the root-mean-square (R.M.S.) value of the response acceleration and the transfer function. The ratio of the kinetic energy of the experimental results and the simulation results is investigated. Consequently, energy is dissipated in the experiments. It is found that the energy dissipated by collision phenomena causes these results. In order to measure the coefficient of restitution by the collision phenomena between the plate and the mass, an experimental apparatus for the collision effect is made. Experiments are carried out with this apparatus. The experimental results agree with part of the results of the ratios of kinetic energy. It is clear that the analytical model in consideration for the energy dissipated by the collision effect is required.