Seismic response control of multi-story asymmetric building installed with dampers

Abstract

The seismic response of linearly elastic, four-story asymmetric building installed with various dampers is investigated by numerical simulation study. The governing equations of motion are derived based on the mathematical model of asymmetric building. The seismic response of the system is obtained by numerically solving the equations of motion using state space method. The peak and root mean square response quantities obtained for the study are: Lateral and torsional displacements, lateral and torsional accelerations, base shear, base torque as well as the control forces. The responses are obtained corresponding to the four real earthquake ground motions. The comparative performance is investigated for optimally designed dampers namely, semi-active magneto-rheological dampers, semi-active variable dampers, semi-active variable friction dampers, semi-active variable stiffness dampers and non-linear viscous dampers. The parametric studies are carried out to derive the optimum parameters for various control devices. It is observed that there exits an optimum parameters for various control devices such as to have optimum compromise between lateral-torsional displacement and acceleration response reduction as well as the damper capacity. Further, the implemented control devices are quite effective in reducing the lateral-torsional responses and the effectiveness is more in reducing the torsional responses as compared to the lateral responses.