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Research Article | Open Access

Dynamic behaviours of flexible plates vertically fixed in a channel

Omar Aref1,2Li Wang1John Young1Fang-Bao Tian1( )
School of Engineering and Technology, University of New South Wales, Canberra, ACT 2600, Australia
Computer Based Engineering Applications Department, Informatics Research Institute, City of Scientific Research and Technological Applications, New Borg El Arab City, 21934, Egypt
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Abstract

This work studies the nonlinear dynamics of plates vertically attached to a channel using the immersed boundary-lattice Boltzmann-general interpolation material point method. The hydrodynamic flow and dynamics of the plate walls over a broad range of Reynolds numbers, structure-to-fluid mass ratio, and bending stiffness are analysed. Four modes are identified: stable plate with symmetric vortex, stable plate with asymmetric vortex, unstable plate with symmetric vortex, and unstable plate with asymmetric vortex. The modes represent distinct flow-structure interaction scenarios observed during the study of plates subjected to fluid flows. A symmetric wake remains aligned with the centreline of the artery over time, while an asymmetric wake deviates upwards or downwards from the centreline. The potential pathways to steady and unsteady behaviour are explored. The physical mechanisms that cause different modes of dynamic response for the plates are discussed.

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Electronic Research Archive
Pages 2839-2867

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Cite this article:
Aref O, Wang L, Young J, et al. Dynamic behaviours of flexible plates vertically fixed in a channel. Electronic Research Archive, 2026, 34(5): 2839-2867. https://doi.org/10.3934/era.2026129

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Received: 15 December 2025
Revised: 16 March 2026
Accepted: 25 March 2026
Published: 15 May 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)