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 dissipated energy and impact force between two buildings during an earthquake. In this paper, a new equation is proposed to measure the impact force and energy dissipation. The results based on the proposed equation are compared with the results of available equations. Using a suggested link element, a new formula is presented to calculate the impact force and energy dissipation. In order to evaluate the results of dissipated energy, a new relation between CR and impact velocity is also suggested. Since there is a need to have a reference curve to select impact velocity, based on the coecient of restitution, several impact velocities and CRs were evaluated. By using the latter curve, results could be evaluated. A new equation of 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 degree of freedom system, due to external force, a new equation of motion is suggested to calculate the impact damping ratio.