Modal response characteristics of seismic controlled mdof shear buildings using tuned viscous mass dampers: A study on a case in which the secondary masses are arranged proportional to the primary stiffness distribution

This paper discusses the modal response characteristics of a tuned viscous mass damper (TVMD) seismic control system in which the secondary apparent masses are arranged such that their distribution is proportional to that of the primary stiffness. We found that the fundamental modes of the undamped primary system are preserved upon adding the secondary system in the seismic control system. Also, the participation mode vectors of the MDOF TVMD controlled system can be obtained by the combination of the participation mode vectors of an uncontrolled primary system and those of a reduced 2-DOF controlled system. This helps practicing structural designers understand the modal response characteristics of the seismic control system.