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Title: Unified description of passive vibration control for buildings based on pole allocation applied to three‐degree‐of‐freedom model
Authors: Ikeda, Yoshiki
Matsumoto, Yuki
Author's alias: 池田, 芳樹
松本, 祐輝
Keywords: 3-DOF
passive vibration control
performance-based design
pole allocation
unified understanding
Issue Date: Sep-2022
Publisher: Wiley
Journal title: Structural Control and Health Monitoring
Volume: 29
Issue: 9
Thesis number: e2995
Abstract: 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.
Rights: This is the peer reviewed version of the following article: [Ikeda, Y, Matsumoto, Y. Unified description of passive vibration control for buildings based on pole allocation applied to three-degree-of-freedom model. Struct Control Health Monit. 2022; 29(9):e2995.], which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
The full-text file will be made open to the public on 09 May 2023 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1002/stc.2995
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