A new model for calculating impact force and energy dissipation based on the CR-factor and impact velocity

Many researchers have studied building pounding to calculate the dissipatedenergy and impact force between two buildings during an earthquake. in this paper, a newequation is proposed to measure the impact force and energy dissipation. the results basedon the proposed equation are compared with the results of available equations. using asuggested link element, a new formula is presented to calculate the impact force and energydissipation. in order to evaluate the results of dissipated energy, a new relation betweencr and impact velocity is also suggested. since there is a need to have a reference curve toselect impact velocity, based on the coecient of restitution, several impact velocities andcrs were evaluated. by using the latter curve, results could be evaluated. a new equationof motion is assumed to select the best impact velocity and coecient of restitution. finally,based on the coecient of restitution and using the steady-state response of a single degreeof freedom system, due to external force, a new equation of motion is suggested to calculatethe impact damping ratio.