In order to analize the dynamic responses of the structures, we must know the time-histories of the acting forces and the vibration characteristics of the structures, such as vibration modes, frequencies and damping coefficients. In this paper, we obtained the damping coefficients from parametric experiments using beam structures. Recognizing the response by various impact force on the structure as the summation of the responses by many impulsive forces on the structure, we think up a damping models on Euler's equation in linear system between force, structure and response, considering T,K,Caughey's model. And we could reproduce impact response on beam structure by calculation very well.