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...

Full description

Bibliographic Details
Main Authors: Hiroki Akehashi, Izuru Takewaki
Format: Article
Language:English
Published: Wiley 2022-10-01
Series:Japan Architectural Review
Subjects:
Online Access:https://doi.org/10.1002/2475-8876.12302
_version_ 1828171669826437120
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.
first_indexed 2024-04-12T03:30:40Z
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
record_format Article
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
work_keys_str_mv AT hirokiakehashi anewreducedmodelofdampedmomentframeforrapidoptimizationofviscousdamperplacement
AT izurutakewaki anewreducedmodelofdampedmomentframeforrapidoptimizationofviscousdamperplacement
AT hirokiakehashi newreducedmodelofdampedmomentframeforrapidoptimizationofviscousdamperplacement
AT izurutakewaki newreducedmodelofdampedmomentframeforrapidoptimizationofviscousdamperplacement