Unified Description of Passive Vibration Control for Buildings Based on Pole Allocation Applied to Three-degree-of-freedom Model
Unified Description of Passive Vibration Control for Buildings Based on Pole Allocation Applied to Three-degree-of-freedom Model
复制标题
基于三自由度模型的极点配置的建筑物被动振动控制统一描述
DOI：
10.1002/stc.2995
复制
发表时间：
2022
影响因子：
5.4
通讯作者：
Yuki MATSUMOTO
中科院分区：
文献类型：
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作者：
Yoshiki IKEDA;Yuki MATSUMOTO
针对具有被动控制系统的建筑物，基于控制理论中的极点配置方法，建立了建筑物被动控制系统的逆问题。将结构体系简化为三自由度集中质量阻尼剪切模型。通过选择近似模型参数，简化模型可以表示抗震结构、基础隔震结构、层间隔震结构或带有调谐质量阻尼器或粘滞阻尼器的受控结构。将三种振型的固有频率和相应的阻尼比设置为基于性能的设计的初始控制目标。新引入的闭合形式表达式解释了模型参数与控制目标之间的关系，并普遍证明了被动控制效果中的权衡关系。数值算例表明，极点配置在选择解时是任意的。然而，只有有限的解决方案可以应用于实际建筑物。
For a building with a passive control system, an inverse problem is formulated based on the pole allocation method in control theory. The structural system is simplified as a three‐degree‐of‐freedom lumped‐mass damped shear model. Through the selection of approximate model parameters, the simplified model can represent an earthquake‐resistant structure, a base‐isolated structure, an inter‐storey‐isolated structure, or a controlled structure with a tuned mass damper or viscous dampers. The natural frequencies and corresponding damping ratios in the three vibration modes are set as the initial control targets for the performance‐based design. The newly introduced closed‐form expression explains how the model parameters are related to the control target and generally proves the trade‐off relationship in the passive control effect. Numerical examples demonstrate that pole allocation is arbitrary in selecting a solution. Nevertheless, only a limited solution can be applied to an actual building.