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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
- Abstract
Summary: 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.
- Subjects
VIBRATION of buildings; TUNED mass dampers; INTELLIGENT buildings; PERFORMANCE-based design; INVERSE problems
- Publication
Structural Control & Health Monitoring, 2022, Vol 29, Issue 9, p1
- ISSN
1545-2255
- Publication type
Article
- DOI
10.1002/stc.2995