Archivio Istituzionale della RicercaWe consider an optimization problem aiming to improve the torsional performance of rectangular plates modeling bridges. The involved functional is the gap function, namely the maximum difference of displacements between the two free edges of the plate. We compute the explicit expression of the gap function for some forces that appear to be the most prone to generate torsional instability in the structure and we exploit it to partially prove a conjecture about a worst-case problem stated in a paper by A. Antunes and F. Gazzola of 2018.
Some remarks about a worst-case problem for the torsional response of a plate / Berchio, Elvise; Falocchi, Alessio - In: Interactions between Elasticity and Fluid MechanicsSTAMPA. - [s.l] : EMS press, 2022. - ISBN 978-3-98547-027-3. [10.4171/esiam/3]
Some remarks about a worst-case problem for the torsional response of a plate
Berchio, Elvise;
2022
Abstract
We consider an optimization problem aiming to improve the torsional performance of rectangular plates modeling bridges. The involved functional is the gap function, namely the maximum difference of displacements between the two free edges of the plate. We compute the explicit expression of the gap function for some forces that appear to be the most prone to generate torsional instability in the structure and we exploit it to partially prove a conjecture about a worst-case problem stated in a paper by A. Antunes and F. Gazzola of 2018.
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https://hdl.handle.net/11583/2977211