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Proceedings Paper

Influence of particle size on the vibration of plates loaded with granular material
Author(s): Joseph A. Turner; Wonmo Kang; Florin Bobaru; Liyong Yang; Kitti Rattanadit
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Paper Abstract

Acoustic methods of land mine detection rely on the vibrations of the top plate of the mine in response to sound. For granular soil (e.g., sand), it is expected that particle size will influence the mine response. This hypothesis is studied experimentally using a plate loaded with dry sand of various sizes from hundreds of microns to a few millimeters. For low values of sand mass, the plate resonance decreases and eventually reaches a minimum without particle size dependence. After the minimum, the frequency increase with additional mass includes a particle-size effect. Analytical continuum models for granular media applied to this problem do not accurately capture the particle-size effect. In addition, a continuum-based finite element model (FEM) of a two-layer plate is used with the sand layer replaced by an equivalent elastic layer. For a given thickness of the sand layer and corresponding experimental resonance, an inverse FEM problem is solved iteratively. The effective Young's modulus and bending stiffness of the equivalent elastic layer that match the experimental frequency are found for every layer thickness. Smaller particle sizes are shown to be more compliant in bending. The results clarify the importance of particle size on acoustic detection methods.

Paper Details

Date Published: 17 May 2006
PDF: 8 pages
Proc. SPIE 6217, Detection and Remediation Technologies for Mines and Minelike Targets XI, 621710 (17 May 2006); doi: 10.1117/12.668901
Show Author Affiliations
Joseph A. Turner, Univ. of Nebraska, Lincoln (United States)
Wonmo Kang, Univ. of Nebraska, Lincoln (United States)
Florin Bobaru, Univ. of Nebraska, Lincoln (United States)
Liyong Yang, Univ. of Nebraska, Lincoln (United States)
Kitti Rattanadit, Univ. of Nebraska, Lincoln (United States)

Published in SPIE Proceedings Vol. 6217:
Detection and Remediation Technologies for Mines and Minelike Targets XI
J. Thomas Broach; Russell S. Harmon; John H. Holloway, Editor(s)

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