A new reduced model of damped moment frame for rapid optimization of viscous damper placement
Abstract A new model reduction method is presented for moment‐resisting frames with viscous dampers. The proposed method considers (1) the interactive effect of added damping between the horizontal‐vertical directions and (2) the direct effect with regard to the vertical direction different from the...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Wiley
2022-10-01
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Series: | Japan Architectural Review |
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Online Access: | https://doi.org/10.1002/2475-8876.12302 |
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author | Hiroki Akehashi Izuru Takewaki |
author_facet | Hiroki Akehashi Izuru Takewaki |
author_sort | Hiroki Akehashi |
collection | DOAJ |
description | Abstract A new model reduction method is presented for moment‐resisting frames with viscous dampers. The proposed method considers (1) the interactive effect of added damping between the horizontal‐vertical directions and (2) the direct effect with regard to the vertical direction different from the conventional static condensation method. When brace‐type dampers are treated, these effects cannot be neglected originally. The proposed method gives a better correspondence of the fundamental eigenmode with that of the non‐reduced moment frame than the static condensation method. In addition, the proposed reduced model can accurately evaluate the maximum interstory drifts of the non‐reduced moment frame. The proposed model reduction method is formulated in the frequency domain. The frequency dependency of the stiffness matrix and the damping matrix of the reduced model is investigated. The influences of the added damping matrix by viscous dampers on the natural circular frequencies, the damping ratios and the participation vectors are also investigated. Finally, it is demonstrated through a numerical example that the displacement‐based optimization of the damper allocation can be accurately and rapidly conducted by using the reduced models throughout the optimization process. |
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format | Article |
id | doaj.art-fda4199daa8546f4bb638ecb30794a3f |
institution | Directory Open Access Journal |
issn | 2475-8876 |
language | English |
last_indexed | 2024-04-12T03:30:40Z |
publishDate | 2022-10-01 |
publisher | Wiley |
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series | Japan Architectural Review |
spelling | doaj.art-fda4199daa8546f4bb638ecb30794a3f2022-12-22T03:49:35ZengWileyJapan Architectural Review2475-88762022-10-015443244410.1002/2475-8876.12302A new reduced model of damped moment frame for rapid optimization of viscous damper placementHiroki Akehashi0Izuru Takewaki1Department of Architecture and Architectural Engineering Graduate School of Engineering, Kyoto University Kyoto JapanDepartment of Architecture and Architectural Engineering Graduate School of Engineering, Kyoto University Kyoto JapanAbstract A new model reduction method is presented for moment‐resisting frames with viscous dampers. The proposed method considers (1) the interactive effect of added damping between the horizontal‐vertical directions and (2) the direct effect with regard to the vertical direction different from the conventional static condensation method. When brace‐type dampers are treated, these effects cannot be neglected originally. The proposed method gives a better correspondence of the fundamental eigenmode with that of the non‐reduced moment frame than the static condensation method. In addition, the proposed reduced model can accurately evaluate the maximum interstory drifts of the non‐reduced moment frame. The proposed model reduction method is formulated in the frequency domain. The frequency dependency of the stiffness matrix and the damping matrix of the reduced model is investigated. The influences of the added damping matrix by viscous dampers on the natural circular frequencies, the damping ratios and the participation vectors are also investigated. Finally, it is demonstrated through a numerical example that the displacement‐based optimization of the damper allocation can be accurately and rapidly conducted by using the reduced models throughout the optimization process.https://doi.org/10.1002/2475-8876.12302moment frameoptimizationreduced modelstatic condensationviscous damper |
spellingShingle | Hiroki Akehashi Izuru Takewaki A new reduced model of damped moment frame for rapid optimization of viscous damper placement Japan Architectural Review moment frame optimization reduced model static condensation viscous damper |
title | A new reduced model of damped moment frame for rapid optimization of viscous damper placement |
title_full | A new reduced model of damped moment frame for rapid optimization of viscous damper placement |
title_fullStr | A new reduced model of damped moment frame for rapid optimization of viscous damper placement |
title_full_unstemmed | A new reduced model of damped moment frame for rapid optimization of viscous damper placement |
title_short | A new reduced model of damped moment frame for rapid optimization of viscous damper placement |
title_sort | new reduced model of damped moment frame for rapid optimization of viscous damper placement |
topic | moment frame optimization reduced model static condensation viscous damper |
url | https://doi.org/10.1002/2475-8876.12302 |
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