DOI: 10.1115/1.2787191. Vertical Oscillation of a Bed of Granular Material

Vertical Oscillation of a Bed of Granular Material

10.1115/1.2787191

Crossref journal-article

ASME International

Journal of Applied Mechanics (33)

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.

Bibliography

Brennen, C. E., Ghosh, S., & Wassgren, C. R. (1996). Vertical Oscillation of a Bed of Granular Material. Journal of Applied Mechanics, 63(1), 156â161.

Authors 3

C. E. Brennen (first)
S. Ghosh (additional)
C. R. Wassgren (additional)

References 14 Referenced 29

Bachmann, D., 1940, Verfahrenstechnik Z.V.D.I. Beiheft, No. 2, p. 43 (cited by Gutman, 1976a).
Chlenov V. A. , and MikhailovN. V., 1965, “Some Properties of Vibrating Fluidized Bed,” Inzh.-Fiz. Zh., Vol. 9, No. 2, pp. 196–200. (10.1007/BF00828686)
Chlenov, V. A., and Mikhailov, N. V., 1972, Vibrofluidized beds, Izdatel’stvo Nauka, Moscow.
Cle´ment E. M. , LudingS., BlumenA., RajchenbachJ., and DuranJ., 1993, “Fluidization, Condensation, and Clusterization of a Vibrating Column of Beads,” International J. of Mod. Phys. B, Vol. 7, Nos. 9 and 10, pp. 1807–1827. (10.1142/S0217979293002602)
Douady S. , FauveS., and LarocheC., 1989, “Subharmonic Instabilities and Defects in a Granular Layer Under Vertical Vibrations,” Europhys. Lett., Vol. 8, No. 7, pp. 621–627. (10.1209/0295-5075/8/7/007)
Evesque P. , and RajchenbachJ., 1989, “Instability in a Sand Heap,” Phys. Rev. Lett, Vol. 62, No. 1, pp. 44–46. (10.1103/PhysRevLett.62.44)
Gutman R. G. , 1976a, “Vibrated Beds of Powders Part I: A Theoretical Model for the Vibrated Ved,” Trans. Instn. Chem. Engrs., Vol. 54, pp. 174–183.
Gutman R. G. , 1976b, “Vibrated Beds of Powders Part II: Heat Transfer in and Energy Dissipation of a Vibrated Bed,” Trans. lnstn. Chem. Engrs., Vol. 54, pp. 251–257.
Holmes P. J. , 1982, “The Dynamics of Repeated Impacts with a Sinusoidally Vibrating Table,” J. of Sound and Vibration, Vol. 84, No. 2, pp. 173–189. (10.1016/0022-460X(82)90215-2)
Jaeger H. M. , and NagelS. R., 1992, “Physics of the Granular State,” Science, Vol. 255, No. 5051, pp. 1523–1531. (10.1126/science.255.5051.1523)
Laroche C. , DouadyS., and FauveS., 1989, “Convective Flow of Granular Masses Under Vertical Vibrations,” J. Phys. France, Vol. 50, No. 7, pp. 699–706. (10.1051/jphys:01989005007069900)
Rajchenbach J. , and EvesqueP., 1988, “Instabilite´ Convective Dans un tas de Sable,” C.R. Acad. Sci. Ser. II (Paris), Vol. 307, pp. 1–4.
Thomas B. , MasonM. O., LiuY. A., and SquiresA. M., 1989, “Identifying States in Shallow Vibrated Beds,” Powder Tech., Vol. 57, pp. 267–280. (10.1016/0032-5910(89)80046-4)
Wood L. A. , and ByrneK. P., 1981, “Analysis of a Random Repeated Impact Process,” J. of Sound and Vibration, Vol. 78, No. 3, pp. 329–345. (10.1016/S0022-460X(81)80143-5)

Dates

Type	When
Created	17 years, 6 months ago (Feb. 21, 2008, 4:29 a.m.)
Deposited	5 years, 10 months ago (Oct. 4, 2019, 2:31 a.m.)
Indexed	1 year, 6 months ago (Feb. 6, 2024, 1 a.m.)
Issued	29 years, 5 months ago (March 1, 1996)
Published	29 years, 5 months ago (March 1, 1996)
Published Online	29 years, 5 months ago (March 1, 1996)
Published Print	29 years, 5 months ago (March 1, 1996)

Funders 0

None

BibTeX

@article{Brennen_1996, title={Vertical Oscillation of a Bed of Granular Material}, volume={63}, ISSN={1528-9036}, url={http://dx.doi.org/10.1115/1.2787191}, DOI={10.1115/1.2787191}, number={1}, journal={Journal of Applied Mechanics}, publisher={ASME International}, author={Brennen, C. E. and Ghosh, S. and Wassgren, C. R.}, year={1996}, month=mar, pages={156–161} }

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