TECHNICAL NOTES
Jun 1, 1990

Impedances of Soil Layer with Boundary Zone

Publication: Journal of Geotechnical Engineering
Volume 116, Issue 6

Abstract

When calculating dynamic response of embedded foundations or piles, impedances (stiffness and damping) of the adjacent soil are needed. To account approximately for soil nonlinearity under high strain, contact deficiencies and disturbances caused by foundation installation, a cylindrical annulus of softer soil around the foundation is used. The soil properties in this weakened boundary zone differ from those of the outer zone but both regions are assumed to be homogeneous. The mass of the cylindrical annulus can be either neglected or accounted for. If this mass is considered, a seemingly more accurate approach, wave reflections from the interface between the two media can occur resulting in marked undulations of the impedances with regard to frequency and, possibly, in negative stiffness. It is the purpose of the paper to show that such undulations are unrealistic and that the impedances featuring them can be less suitable for practical application than those obtained neglecting the mass of the inner zone.

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References

1.
Han, Y. C., and Novak, M. (1988a). “Non‐linear vibration of single pile under vertical harmonic excitation.” Proc. 3rd Int. Conf. on the Application of Stress‐Wave Theory on Piles. Ottawa, May 25–27. International Society for Soil Mechanics and Foundation Engineering, 1, 399–408.
2.
Han, Y. C., and Novak, M. (1988b). “Dynamic behaviour of single piles under strong harmonic excitation.” Can. Geotech. J., 25, Aug., 523–534.
3.
Lakshmanan, N., and Minai, R. (1981). “Dynamic soil reactions in radially non‐homogeneous soil media.” Bull. Disaster Prev. Res. Inst. Kyoto Univ., 31, 2, Jun., 79–114.
4.
Novak, M., and Aboul‐Ella, F. (1978). “Impedance functions of piles in layered media.” J. Engrg. Mech. Div., ASCE, 104(6), 643–661.
5.
Novak, M., and Mitwally, H. (1988). “Transmitting boundary for axisymmetrical dilation problems.” J. Engrg. Mech. Div., ASCE, 114(1), 181–187.
6.
Novak, M., and Sheta, M. (1980). “Approximate approach to contact effects of piles.” Proc. Dynamic Response of Pile Foundations: Analytical Aspects, ASCE, Oct., 53–79.
7.
Novak, M., Nogami, T., and Aboul‐Ella, F. (1978). “Dynamic soil reactions for plane strain case.” J. Engrg. Mech. Div., ASCE, 104(4), 953–959.
8.
Veletsos, A. S., and Dotson, K. W. (1986). “Impedances of soil layer with disturbed boundary zone.” J. Geotech. Engrg., ASCE, 112(3), 363–368.
9.
Veletsos, A. S., and Dotson, K. W. (1987). “Horizontal impedances for radially inhomogeneous viscoelastic soil layers.” Tech. Report NCEER‐87‐0021, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo, N.Y., Oct.
10.
Veletsos, A. S., and Dotson, K. W. (1988). “Vertical and torsional vibration of foundations in inhomogeneous media.” J. Geotech. Engrg., ASCE, 114(9), 1002–1021.

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Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 116Issue 6June 1990
Pages: 1008 - 1014

History

Published online: Jun 1, 1990
Published in print: Jun 1990

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Authors

Affiliations

M. Novak, Fellow, ASCE
Prof., Fac. of Engrg. Sci., Univ. of Western Ontario, London, Ontario, Canada N6A 5B9
Y. C. Han
Assoc. Prof., Inst. of Engrg. Mech., Harbin, China

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