Effect of damping on impact response of a two degrees of freedom system

Abstract The impact response of a system consisting of a main mass on which a critical element of much smaller mass is mounted, is analyzed. Equations of motion are non-dimensionalized and a closed form solution obtained. System parameters are the two damping ratios and the frequency ratio. Maximum values of the non-dimensional acceleration of the critical element and the product of its acceleration and displacement are computed. Results are presented in a form to permit optimum design of the system.