Analysis of Steady Collision Vibration in Simply Supported Beam with an Attached Mass Excited by Periodic Displacement with Arbitrary Function(The Case Where Restoring Force is Asymmetric Piecewise-Linear System with Dead Zone)

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This paper deals with collision vibration in a continuous system excited by periodic displacement with arbitrary functions. The analytical model is a system of steady collision vibration in simply-supported-beam with an attached mass. The attached mass collides elastically with clamped springs on asymmetrical faces. In order to clarify the main resonance of the system subjected to a displacement excitation, the resulting vibrations are analyzed using the Fourier series method and an exact solution is derived for this system. Following the theoretical analysis, numerical calculations are performed and the resonance curves are constructed using the resulting vibrations. The numerical results reveal the effects of the stiffness of clamped spring, the ratio of attached mass and the amplitude of excitation on the resonance curves. The experiment is also carried out to verify the theoretical result. The numerical result is in a fairly good agreement with the experimental one.
日本学術会議「機械工学委員会・土木工学・建築学委員会合同IUTAM分科会」の論文