The collision vibration was widely applied to the collision machining device,since the great and accurate energy is comparatively obtained.It is necessary to quantitatively analyze response vibration and repulsive force by the impact collision in the design of the collision machining device.As an example of basic investigation,this paper deals with impact vibration in continuous system excited by periodic displacement with arbitrary functions.The analytical model is steady impact vibration in simply-beam supported at both ends having an attached mass.The attached mass collides elastically with clamped spring on asymmetrical faces.In order to clarify the main resonance of the system subjected to excitation by displacement,the resulting vibrations are analyzed using the Fourier series method and an exact solution is proposed for this system.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 collision machining device, since the great and accurate energy is comparatively obtained. It is necessary to quantitatively analyze the response vibration and repulsive force by the impact collision in the design of the collision machining device. As an example of basic investigation, this paper deals with impact vibration in continuous system excited by periodic displacement with arbitrary functions. The analytical model is steady impact vibration in simply-beam supported at both ends with an attached mass. The attached mass collides elastically with clamped spring on asymmetrical faces.In order to clarify the main resonance of the system subjected to excitation by displacement, the resulting vibrations are analyzed using the Fourier series method and an exact solution is proposed for this system. Popular theoretical analysis, numerical calculations are performed, and the resonance curves are made using the resulting vibrations.The numerica l 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. numerical results are in a fairly good agreement with the experimental ones.