非対称履歴特性を有する連続体の強制振動(機械力学,計測,自動制御)

概要

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The forced response of continuous systems with nonlinear boundary conditions which are motion limiting-constraints or clearances is of great importance for several engineering applications. In analysis of such systems, an analytical model with restoring force characteristics in which stiffness increases after collision is generally used. On the other hand, there occurs energy absorption which is represented by the coefficient of restitution. However, few studies on vibration analysis of a system with collision considering energy absorption have been carried out. Modelling of energy absorption can be carried out by assuming hysteresis loop characteristics in the relation between force of restitution and penetration. One of the authors proposed an analytical method for steady-state response by expanding the force of restitution into a Fourier series. Using this method, steady-state response of a continuous system was shown for the case of symmetrical collision in which the beam end collides with stop once in half period of its vibration. In this paper, an analytical method of approximate solution for the continuous system with asymmetrical collision characteristics in which the beam end collides with stop once in one period of its vibration is presented. Some numerical results for steady-state response are shown.
社団法人日本機械学会の論文
1997-06-25