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Undulations of a thin granular layer induced by vertical vibration

An experimental study is performed on quasi-two dimensional waves in a thin granular layer of thickness h induced by vertical vibration with frequency f and amplitude a under atmospheric pressure. We used sesame of oval shape as well as different sizes of spherical glass and aluminum beads. Irrespec...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2003-06, Vol.72 (6), p.1390-1395
Main Authors: UGAWA, Akiko, SANO, Osamu
Format: Article
Language:English
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Summary:An experimental study is performed on quasi-two dimensional waves in a thin granular layer of thickness h induced by vertical vibration with frequency f and amplitude a under atmospheric pressure. We used sesame of oval shape as well as different sizes of spherical glass and aluminum beads. Irrespective of the container size L, "ripples" are observed in a thin layer which consists of spherical beads (aluminum and glass beads) for relatively small acceleration of external forcing. On the other hand "undulations" are observed in a thicker layer, which consists of sesame as well as spherical beads, for larger accelerations. In the latter, several eigen modes are observed, which is reminiscent of the buckling and bending waves in an elastic rod. Continuum model is shown to explain the observed modes. In addition to acceleration amplitude (2πf)2a/g (g: acceleration of gravity) and normalized frequency f\\sqrth/g, layer height h/d (d: particle size) and aspect ratio L/h play important roles.
ISSN:0031-9015
1347-4073
DOI:10.1143/JPSJ.72.1390