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The collision vibration was widely applied to the impact machining device,since the greatly accurate energy is comparatively obtained.It is necessary to quantitatively analyze response vibration and repulsive force caused by collision in design of the impact machining device.This paper deals with steady collision vibration in spring-mass system excited by periodic force with arbitrary function.The analytical model is single-degree-of-freedom system having collision vibration with damping.The restoring force,which has an unsymmetric piecewise-linear characteristics,is elastic collision to unsymmetrical faces.In order to analyze harmonic,superharrnonic and subharmonic resonances,the Fourier series method is applied to this system and an exact solution is proposed for response vibration.Following the theoretical analysis,numerical calculations are performed,and the resonance curves are made using the resulting vibrations.The numerical results are shown by effects of the stiffness of clamped spring,the ratio of attached mass and the amplitude of excitation on the resonance curves.The experiments are also performed to verify the numerical results.The numerical results are in a fairly good agreement with the experimental ones.
The collision vibration was widely applied to the impact machining device, since the greatly accurate energy is comparatively obtained. It is necessary to quantitatively analyze the response vibration and repulsive force caused by collision in design of the impact machining device. This paper deals with steady collision vibration in spring-mass system excited by periodic force with arbitrary function. The analytical model is single-degree-of-freedom system having collision vibration with damping. The restoring force, which has an unsymmetric piecewise-linear characteristics, is elastic collision to unsymmetrical faces . In order to analyze harmonic, superharmonic and subharmonic resonances, the Fourier series method is applied to this system and an exact solution are proposed for response vibration. Popular the theoretical analysis, numerical calculations are performed, and the resonance curves are made using the result vibrations.The numerical results are shown by effects of the stiffness of clamp ed spring, the ratio of attached mass and the amplitude of excitation on the resonance curves. these experiments are also performed to verify the numerical results. numerical results are in a fairly good agreement with the experimental ones.