極配置法に基づく多質点1本棒せん断振動型建物モデルの支配方程式

Abstract

Based on the pole allocation method in control theory, the authors’ previous research found out a fundamental closed-form equation governing a three-lumped-mass stick-shape shear model for a building. Through the selection of appropriate model parameters, the simplified model can represent an earthquake-resistant structure, a base-isolated structure, an interstory-isolated structure, or a passively controlled structure with a tuned mass damper or viscous interstory dampers. The equation explains how the model parameters are related to the control target and generally proves the trade-off relationship in the passive control effect. The present study similarly applies the pole allocation method to a multi-lumped-mass stick-shape model to provide the trade-off relationship with higher generality. The newly introduced equation has the same form as the previous research indicated. Next, this study discusses the installation distribution of interstory dampers from a viewpoint of modal damping as control target.