Stockdale, G, Milani, G and Sarhosis, V orcid.org/0000-0002-5748-7679 (2022) Work-path approach seismic modelling of hinge-controlled masonry arches. Proceedings of the Institution of Civil Engineers - Structures and Buildings, 175 (9). pp. 734-746. ISSN 0965-0911
Abstract
A dynamic analysis procedure for hinge-controlled masonry arches subjected to horizontal acceleration profiles is developed. Constructed from the principle of energy conservation, the establishment of equivalent systems and the path independence of conservative work, a time-incremental analysis structure is established for kinematic propagation. Equivalent systems are defined through combining kinematic equilibrium with static deformations of the single degree of freedom mechanism through parametric plotting. This generates the minimum work required to propagate the arch towards collapse. For a constant acceleration above the static limit, energy conservation requires the transformation of excess work' into kinetic energy. The path independence of work creates a spatial kinetic energy equation that is used to establish the time domain of the system. Knowing the initial position and kinetic energy thus allows the final position and kinetic energy to be determined for the time increment. A new constant acceleration and timestep then propagates the behaviour through the acceleration profile.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is protected by copyright. All rights reserved. This is an author produced version of an article published in Proceedings of the Institution of Civil Engineers. Uploaded in accordance with the publisher's self-archiving policy. |
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: | 12 Jul 2022 14:57 |
Last Modified: | 29 Mar 2023 01:19 |
Status: | Published |
Publisher: | ICE Publishing |
Identification Number: | 10.1680/jstbu.19.00240 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:188457 |