In the structural optimization problem determining the placement of dampers on a building, an appropriate structural model is desired to evaluate the structural seismic response and the performance of the dampers. Although the structural optimization based on the time-history analysis using large-scale frame model can be performedrecently, it is preferable to use a simple structural analysis model to reduce computational time in optimizations. This paper proposes a simplified modeling method to efficiently perform the structural optimization problem installing stud-type high rubber damper in frame model. The simplified model is a shear model with damper considering the performance degradation of damperswhere supporting spring is allocated as Maxwell model.The proposed formulation is aimed to determine the stiffness of supporting spring based on direct stiffness method for frame model.
