Abstract
This paper proposes a new method to obtain the optimal values of connecting springs and dampers and those optimal locations for controlling multi-vibration modes in connected buildings. The way to obtain the optimal values of dampers for connecting buildings with only dampers has been already known, however, it is hard to control the multi-vibration modes using this way because of a restriction that the natural frequency of a sub-structure must be higher than that of a main structure. Using the proposed method, it is able to adapt for the inverse situation of the natural frequency in connected buildings, since the sub-structure is usually slender and it means to take lower natural frequency. This method is based on the stationary point theory which is well known for designing tuned mass dampers optimally, and its rectification approach for modifying the optimal values of connecting springs and dampers, because vibration mode shapes are changed by connected springs. The effectiveness of the proposed method is demonstrated through a simulation example of the multi-mode vibration control of a pair of three-lumped-mass models.
