Aspect ratio of undulation in a vertically vibrated granular layer

Yoshihito Dose; Osamu Sano

doi:10.1016/j.crme.2015.11.005

Aspect ratio of undulation in a vertically vibrated granular layer

Yoshihito Dose ¹ ; Osamu Sano ²

¹ Department of Applied Physics, Tokyo University of Agriculture and Technology, Koganei, Tokyo 184-8588, Japan
² Tokyo University of Agriculture and Technology, Fuchu, Tokyo 183-8538, Japan

Comptes Rendus. Mécanique, Volume 344 (2016) no. 3, pp. 167-180.

Résumé

The aspect ratio of the height δ to the wavelength λ of the undulation generated by a vertical vibration of the granular layer was investigated experimentally, and its dependence on the frequency f and amplitude a is disclosed. We found that $δ / λ$ is well described by an almost linear function of fa rather than by that of $Γ \equiv {(2 π f)}^{2} a / g$ , irrespective of the horizontal size of the container, where g is the acceleration of gravity. Appearance of sub-arches to maintain the main eigenmode and the transitions between eigenmodes of undulation are also elucidated.

Reçu le : 2015-06-03
Accepté le : 2015-11-04
Publié le : 2016-02-03

DOI : 10.1016/j.crme.2015.11.005

Mots clés : Granular material, Vertical vibration, Undulation, Aspect ratio, Eigenmode, Buckling

Affiliations des auteurs :

Yoshihito Dose ¹ ; Osamu Sano ²

¹ Department of Applied Physics, Tokyo University of Agriculture and Technology, Koganei, Tokyo 184-8588, Japan
² Tokyo University of Agriculture and Technology, Fuchu, Tokyo 183-8538, Japan

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     author = {Yoshihito Dose and Osamu Sano},
     title = {Aspect ratio of undulation in a vertically vibrated granular layer},
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     language = {en},
}

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Yoshihito Dose; Osamu Sano. Aspect ratio of undulation in a vertically vibrated granular layer. Comptes Rendus. Mécanique, Volume 344 (2016) no. 3, pp. 167-180. doi : 10.1016/j.crme.2015.11.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.11.005/

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