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TECHNICAL PAPERS

Axial Vibration of a Padded Annulus on a Semi-Infinite Viscoelastic Medium

[+] Author and Article Information
B. B. Guzina, F. Nintcheu Fata

Department of Civil Engineering, University of Minnesota, 500 Pillsbury Drive, SE Minneapolis, MN 55455

J. Appl. Mech 68(6), 923-928 (Jun 12, 2001) (6 pages) doi:10.1115/1.1410098 History: Received August 29, 2000; Revised June 12, 2001
Copyright © 2001 by ASME
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References

El-Shafee,  O. M., and Gould,  P. L., 1980, “Dynamic Axisymmetric Soil Model for a Flexible Ring Footing,” Earthquake Eng. Struct. Dyn., 8, pp. 479–498.
Tassoulas,  J. L., and Kausel,  E., 1984, “On the Dynamic Stiffness of Circular Ring Footings on an Elastic Stratum,” Int. J. Num. Analy. Meth. Geomet., 8, pp. 411–426.
Veletsos,  A. S., and Tang,  Y., 1987, “Rocking Vibration of Rigid Ring Foundations,” J. Geotech. Eng., 113, pp. 1019–1032.
Veletsos,  A. S., and Tang,  Y., 1987, “Vertical Vibration of Ring Foundations,” Earthquake Eng. Struct. Dyn., 15, pp. 1–21.
Rajapakse,  R. K. N. D., 1989, “Dynamic Response of Elastic Plates on Viscoelastic Half-Space,” ASCE Journal of Engineering Mechanics, 115, pp. 1867–1881.
Noble,  B., 1963, “The Solution of Bessel Function Dual Integral Equations by a Multiplying-Factor Method,” Proc. Cambridge Philos. Soc., 59, pp. 351–362.
Bycroft,  G. N., 1956, “Forced Vibrations of a Rigid Circular Footing on a Semi-Infinite Elastic Space and on an Elastic Stratum,” Philos. Trans. R. Soc. London, Ser. A, A248, pp. 327–368.
Awojobi,  A. O., and Grootenhius,  P., 1965, “Vibration of Rigid Bodies on Semi-Infinite Elastic Media,” Proc. R. Soc. London, Ser. A, A287, pp. 27–63.
Luco,  J. E., and Westmann,  R. A., 1971, “Dynamic Response of Circular Footings,” ASCE Journal of the Soil Mechanics and Foundation Division, 97, pp. 1381–1395.
Veletsos,  A. S., and Wei,  Y. T., 1971, “Lateral and Rocking Vibration of Footings,” ASCE Journal of the Soil Mechanics and Foundation Division, 97, pp. 1227–1248.
Smith, R. E., and Lytton, R. L., 1984, “Synthesis Study of Nondestructive Testing Devices for use in Overlay Thickness Design of Flexible Pavement,” Technical Report RD-83/097, Federal Highway Administration, Washington, DC.
Siekmeier, J. A., Young, D., and Beberg, D., 2000, “Comparison of the Dynamic Cone Penetrometer With Other Tests During Subgrade and Granular Base Characterization in Minnesota,” ASTM Special Technical Publication, Vol. 1375, pp. 175–188.
Uzan, J., Lytton, R. L., and Germann, F. P., 1989, “General Procedure for Backcalculating Layer Moduli,” ASTM Special Technical Publication, Vol. 1026, pp. 217–228.
Boddapati, K. M., and Nazarian, S., 1994, “Effects of Pavement-Falling Weight Deflectometer Interaction on Measured Pavement Response,” ASTM Special Technical Publication, Vol. 1198, pp. 326–340.
Ewing, W. M., Jardetzky, W. S., and Press, F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
Christensen, R. M., 1971, Theory of Viscoelasticity, Academic Press, San Diego, CA.
Findley, W. N., Lai, J. S., and Onaran, K., 1989, Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, New York.
Pak,  R. Y. S., 1987, “Asymmetric Wave Propagation in a Half-Space by a Method of Potentials,” ASME J. Appl. Mech., 54, pp. 121–126.
Muki, R., 1961, “Asymmetric Problems of the Theory of Elasticity for a Semi-Infinite Solid and a Thick Plate,” Vol. 1, Progress in Solid Mechanics, North-Holland, Amsterdam.
Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions, Dover, New York.
Egorov, K. E., 1965, “Calculation of Bed for Foundation With Ring Footing,” Proceedings, 6th International Conference on Soil Mechanics ands Foundation Engineering, Vol. 2, pp. 41–45 (excerpted from Poulos, H. G. and Davis, E. H., 1974, Elastic Solutions for Soil and Rock Mechanics, John Wiley and Sons, New York).

Figures

Grahic Jump Location
Static contact stress distribution: effect of padding stiffness
Grahic Jump Location
Vertical dynamic compliance of a rigid annulus
Grahic Jump Location
Center deflection under vibratory annular punch
Grahic Jump Location
Surface deflection of a half-space: effect of padding stiffness
Grahic Jump Location
In-phase components of the surface motion
Grahic Jump Location
Out-of-phase components of the surface motion
Grahic Jump Location
Padded annulus on a uniform viscoelastic half-space

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