Abstract
It has been clarified that multiple-mass dynamic vibration absorbers (DVAs) have higher performance than the singlemass DVA. One of the authors has succeeded in deriving the optimal design solutions for series- and parallel-type doublemass DVAs based on the three different optimization criteria. As a result of the research, it was confirmed that the double-mass DVAs are surely superior to the single-mass DVA in the vibration suppression performance. The evaluation index of optimization at that time was the compliance transfer function which is the absolute displacement response of the primary system. However, when a building structure is subjected to a large earthquake, the structure often destroyed by excessive relative displacement between the ground and the building. Therefore, the optimal design condition of the DVAs for minimizing the relative displacement between the primary system and the foundation is searched in this report. The minimization condition of the absolute displacement and that of the relative displacement are similar but never the same. As with the minimization of the compliance transfer function for absolute displacement, we also derived optimal solutions based on three different optimization criteria, i.e., H∞ optimization, H2 optimization and stability maximization.
