Abstract
This paper deals with nonlinear vibration of a continuum system with gaps under stationary 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. An analytical model of the cubic equation is proposed based on the restoring force characteristics in the experiments. For stationary random input waves, the probability density function of the response displacement and the response velocity are governed by the Fokker-Planck Equation. The analytical model of the nonlinear spring is applied to this equation, and the probability density function of the response displacement and the response velocity is calculated. Moreover, the probability density of the restoring force characteristics is evaluated.
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