抄録
 Recently, response control dampers are used to improve seismic response of high-rise building for long-period ground motion. In general, it is required to arrange the dampers efficiently with small number on the pane of high-rise building structure. However, it is not easy to obtain the optimum placement of the dampers on the plane of structure, because the damper's performance depend on the dynamic behavior of the building. Therefore, in this paper, a method to obtain an optimal placement of the response control dampers on the plane of high-rise building structure is proposed.
 In section 2, the proposed method is shown. In the present method, first, the dampers are placed on all possible places in the frame structure (ground structure) of the building (Fig. 1a), and then the dampers are gradually removed by evolutionary structural optimization (ESO) method (Fig. 1b~Fig. 1f). The accumulated damping energy of the damper in the dynamic analysis is used to determine the removal order. In the dynamic analysis, finite element method with numerical time integration method (mean acceleration method) is used. The dampers are modeled in dash-pot (Fig. 2 and Fig. 3), and the accumulated damping energy is shown in Eq.(3).
 In section 3, the effectiveness of the present method is shown. In the numerical example of the building with 3 layers and 3 spans (Fig. 4), it is shown that the optimum solutions can be obtained by the present method (Fig. 5~Fig. 8). In the numerical example of the high-rise building (Fig. 10), it is shown that the effective solutions are obtained compared with general placement plans (Fig. 11~Fig. 16, Table 1). Also, it is shown that the optimum placement obtained by the present method is changed by the types of seismic waves (Fig. 17). Therefore, it is necessary to use long-period ground motion for the analysis in order to obtain the optimum placement of dampers in high-rise buildings.
 It is concluded from these examples that the present method is useful for determining the placement of response control dampers on the plane of high-rise building structure at the structural planning stage.