Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members

Abstract Torsional moments can occur in a column owing to the geometric nonlinearity when the top of the column undergoes a large displacement in two horizontal directions. Periodically generated torsional moments can excite the torsional mode of a building owing to the internal resonance. For high‐...

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Main Authors: Shiori Maki, Masayuki Kohiyama
Format: Article
Language:English
Published: Wiley 2022-10-01
Series:Japan Architectural Review
Subjects:
Online Access:https://doi.org/10.1002/2475-8876.12290
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author Shiori Maki
Masayuki Kohiyama
author_facet Shiori Maki
Masayuki Kohiyama
author_sort Shiori Maki
collection DOAJ
description Abstract Torsional moments can occur in a column owing to the geometric nonlinearity when the top of the column undergoes a large displacement in two horizontal directions. Periodically generated torsional moments can excite the torsional mode of a building owing to the internal resonance. For high‐rise buildings, there is a risk that long‐period seismic motions can cause a non‐negligible torsional response due to this phenomenon. To investigate this risk, this study focuses on non‐eccentric single‐story and two‐story shear‐type structural models with an aggregate column, which is assumed to be an elastic Timoshenko beam. We derived the equations of motion for the models under horizontal ground motions and confirmed that the equations were identical to those of the models with an aggregate column of an elastic Euler beam. We then performed time‐history response analyses of the models satisfying the internal resonance conditions under the input ground motions of harmonic waves, Gaussian white noise acceleration, acceleration records of previous earthquakes, and a long‐period design wave. The results showed that the maximum horizontal acceleration at the corner of the top floor slab could be increased by more than 60% of the acceleration at the center of the slab in the worst case.
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spelling doaj.art-df0db04a54ee43b9b7025b8ee7ac4ef02022-12-22T03:49:35ZengWileyJapan Architectural Review2475-88762022-10-015440443110.1002/2475-8876.12290Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical membersShiori Maki0Masayuki Kohiyama1Graduate School of Science and Technology Keio University Yokohama JapanFaculty of Science and Technology Keio University Yokohama JapanAbstract Torsional moments can occur in a column owing to the geometric nonlinearity when the top of the column undergoes a large displacement in two horizontal directions. Periodically generated torsional moments can excite the torsional mode of a building owing to the internal resonance. For high‐rise buildings, there is a risk that long‐period seismic motions can cause a non‐negligible torsional response due to this phenomenon. To investigate this risk, this study focuses on non‐eccentric single‐story and two‐story shear‐type structural models with an aggregate column, which is assumed to be an elastic Timoshenko beam. We derived the equations of motion for the models under horizontal ground motions and confirmed that the equations were identical to those of the models with an aggregate column of an elastic Euler beam. We then performed time‐history response analyses of the models satisfying the internal resonance conditions under the input ground motions of harmonic waves, Gaussian white noise acceleration, acceleration records of previous earthquakes, and a long‐period design wave. The results showed that the maximum horizontal acceleration at the corner of the top floor slab could be increased by more than 60% of the acceleration at the center of the slab in the worst case.https://doi.org/10.1002/2475-8876.12290geometric nonlinearityhigh‐rise buildingshear‐type structureTimoshenko beamtorsional response
spellingShingle Shiori Maki
Masayuki Kohiyama
Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members
Japan Architectural Review
geometric nonlinearity
high‐rise building
shear‐type structure
Timoshenko beam
torsional response
title Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members
title_full Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members
title_fullStr Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members
title_full_unstemmed Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members
title_short Torsional behavior of a non‐eccentric structure considering the effect of shear deformations in vertical members
title_sort torsional behavior of a non eccentric structure considering the effect of shear deformations in vertical members
topic geometric nonlinearity
high‐rise building
shear‐type structure
Timoshenko beam
torsional response
url https://doi.org/10.1002/2475-8876.12290
work_keys_str_mv AT shiorimaki torsionalbehaviorofanoneccentricstructureconsideringtheeffectofsheardeformationsinverticalmembers
AT masayukikohiyama torsionalbehaviorofanoneccentricstructureconsideringtheeffectofsheardeformationsinverticalmembers