Abstract
The collision vibration is widely applied to the impact machining device since accurately large energy is comparatively obtained. It is necessary to quantitatively analyze response vibration and restitution force by collision for design of the impact machining device. As an example of basic investigation, this paper deals with impact vibration in a spring-mass system for two-degree of freedom excited by periodic force with arbitrary functions. The analytical model is steady impact vibration for two-degree of freedom having two masses subjected to an exciting vibration. Then the restitution force, which has characteristics of an unsymmetric piecewise-linear system with hysteresis loop, collides elastically with another mass when amptitude of the mass exceeds than the clearance. In order to analyze the resulting vibration for the main resonance, the Fourier series method is applied to obtain an exact solution for response vibration. The numerical calculation is performed to obtain the resonance curves. The numerical results show effects of the stiffness of the clampted spring and the amplitude of excitation on the resonance curves.
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