Aspect ratio of undulation in a vertically vibrated granular layer

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• 作者：Yoshihito Dose^a ; Osamu Sano^b ; ¹ ; ^{sano@cc.tuat.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Granular material ; Vertical vibration ; Undulation ; Aspect ratio ; Eigenmode ; Buckling
• 刊名：Comptes Rendus Mécanique
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：344
• 期：3
• 页码：167-180
• 全文大小：1663 K

文摘

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$\delta /\lambda$ is well described by an almost linear function of fa   rather than by that of Γ≡(2πf)²a/g$\mathrm{\Gamma }\equiv {(2\pi f)}^{2}a/g$, 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.