Rodríguez, AA and Tsavdaridis, KD orcid.org/0000-0001-8349-3979 (2023) Effect of Rotational Inertia on Building Response to Earthquakes via a Closed-Form Solution. Mechanics Based Design of Structures and Machines, 51 (4). pp. 1842-1855. ISSN 1539-7734
Abstract
In this article, a widely used building model, comprised of uniform coupled flexural and shear beams, herein improved by allowing for the effects of rotational inertia. Closed-form solutions in terms of trigonometric and hyperbolic functions are obtained, allowing for the explicit formulation of period ratios, modal participation factors (MPFs), mode shapes, and mode shape derivatives based solely on displacement response, without coupling with chord rotations, which is the case for the Timoshenko beam model. This makes the model proposed in this study more convenient for assessing building behavior to ground motion, by explicitly highlighting the effect of rotational inertia in their response to earthquakes, making the case for studying its beneficial effects in mitigating response of buildings to ground motion. It is observed that rotational inertia induces mild fundamental period lengthening, while notably reducing period ratios between higher modes and the fundamental one. This can lead to an enhanced response to ground motion showcasing narrow-band characteristics. However, the most severe effect is found to be on the MPF, which is significantly diminished. This leads to important reductions on the overall response, as a consequence of attenuation of the first-mode response, along with severe undercutting of the effects of higher modes. The results demonstrate that without considering the rotational inertia in the assessment of in-plane structural response to horizontal ground motion can lead to conservative results. Moreover, the results showcase the advantages of providing supplemental rotational inertia as a way to improve the seismic behavior of buildings.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 Taylor & Francis Group, LLC. This is an author produced version of a paper published in Mechanics Based Design of Structures and Machines. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Acceleration demands; building earthquake response; closed-form solutions; drift; rotational inertia |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 26 Jan 2021 15:14 |
Last Modified: | 29 Mar 2023 01:39 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/15397734.2021.1880329 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:170249 |