Français
A minimaxmax problem for improving the torsional stability of rectangular plates
Multi angle
Authors : Gazzola, Filippo (Author of the conference)
CIRM (Publisher )
49Q10 - Optimization of shapes other than minimal surfaces
74K20 - Plates (solid mechanics)
35Q74 - PDEs in connection with mechanics of deformable solids
CIRM (Publisher )
Loading the player...
|
Abstract :
We introduce a new function which measures the torsional instability of a partially hinged rectangular plate. By exploiting it, we compare the torsional performances of different plates reinforced with stiffening trusses. This naturally leads to a shape optimization problem which can be set up through a minimaxmax procedure.
MSC Codes : 49Q10 - Optimization of shapes other than minimal surfaces
74K20 - Plates (solid mechanics)
35Q74 - PDEs in connection with mechanics of deformable solids
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/12/2016 Conference Date : 22/11/16 Subseries : Research talks arXiv category : Analysis of PDEs ; Classical Analysis and ODEs ; Optimization and Control Mathematical Area(s) : Control Theory & Optimization ; PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:37:55 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-11-22_Gazzola.mp4 
|
Information on the Event
Event Title : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnellesEvent Organizers : Bucur, Dorin ; Buttazzo, Giuseppe ; Henrot, Antoine ; Pratelli, Aldo Dates : 21/11/16 - 25/11/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1489.html
Citation Data
DOI : 10.24350/CIRM.V.19095303Cite this video as: Gazzola, Filippo (2016). A minimaxmax problem for improving the torsional stability of rectangular plates. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19095303 URI : http://dx.doi.org/10.24350/CIRM.V.19095303 |
See Also
- [Multi angle] Regularity of the optimal sets for spectral functionals. Part I: sum of eigenvalues / Author of the conference Terracini, Susanna.
- [Multi angle] On the stability of the Bossel-Daners inequality / Author of the conference Trombetti, Cristina.
- [Multi angle] Isoperimetry with density / Author of the conference Morgan, Frank.
- [Post-edited] Some new inequalities for the Cheeger constant / Author of the conference Fragalà, Ilaria.
Bibliography
- Ferreira, V., Gazzola, F., Moreira dos Santos, E. (2016). Instability of modes in a partially hinged rectangular plate. Journal of Differential Equations, 261(11), 6302-6340 - http://dx.doi.org/10.1016/j.jde.2016.08.037
