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Published March 1, 1996 | public
Journal Article Open

Vertical Oscillation of a Bed of Granular Material

Abstract

A bed of granular material which is subjected to vertical vibration will exhibit at least one sudden expansion at a critical acceleration amplitude. This sudden expansion corresponds to a bifurcation similar to that exhibited by a single ball bouncing on a vibrating plate. Theoretical analysis based on this model yields results which are in accord with the experimental observations. Other bifurcations may occur at higher vibration levels.

Additional Information

Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME Journal of Applied Mechanics. Manuscript received by the ASME Applied Mechanics Division, Jan. 24, 1994; final revision, Nov. 21, 1994. The authors would like to thank Prof. Rolf Sabersky for his always helpful encouragement and advice. The work described herein was partly carried out during the summer of 1984 while one of the authors (S. Ghosh) was supported by a Summer Undergraduate Research Fellowship (SURF) at the California Institute of Technology. This paper was prepared with the support of the National Science Foundation under grant number CTS 9300665.

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Created:
August 21, 2023
Modified:
October 13, 2023