Dynamic Modeling and Response of Rigid Embedded Cylinders
Publication: Journal of Engineering Mechanics
Volume 121, Issue 9
Abstract
Following a brief review of the limitations of a popular technique for modeling the soil action in analyses of the dynamic response of deeply embedded cylindrical foundations and structures, the sources of the limitations are identified and a modification is proposed that, while retaining the attractiveness of the original model, defines correctly the action of the system. In the proposed approach, the soil medium is modeled by a series of elastically constrained, rather than unconstrained, thin horizontal layers with a circular hole at the center. The impedances of the constrained layers are established and are then used to evaluate the dynamic response of a rigid vertical cylinder embedded in a uniform viscoelastic stratum of constant thickness and infinite extent in the horizontal direction. The cylinder and the stratum are presumed to be supported on a nondeformable base undergoing a uniform horizontal motion. The effects of both harmonic and earthquake-induced ground motions are considered. The response quantities examined include the dynamic force per unit of cylinder height and the corresponding base shear and base moment.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alampalli, S., and Elgamal, A. W. (1991). “Retaining wall; computation of seismically induced deformations.”Proc., 2nd Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Univ. of Missouri–Rolla, Rolla, Mo., Vol. I, 635–642.
2.
Arias, A., Sanchez-Sesma, F. J., and Ovando-Shelley, E. (1981). “A simplified elastic model for seismic analysis of earth-retaining structures with limited displacements.”Proc., Int. Conf. on Recent Adv. in Geotech. Earthquake Eng. and Soil Dyn., Univ. of Missouri–Rolla, Rolla, Mo., Vol. I, 235–240.
3.
Baranov, V. A. (1967). “On the calculation of an embedded foundation.”Voprosy Dinamiki i Prochnosti, Riga, Latvia, Vol. 14, 195–209 (in Russian).
4.
Beredugo, Y. O., and Novak, M.(1972). “Coupled horizontal and rocking vibration of embedded footings.”Can. Geotech. J., 9(4), 477–497.
5.
Dennehy, K. T. (1984). “Seismic vulnerability, analysis and design of anchored bulkheads,” PhD thesis, Rensselaer Polytechnic Inst., Troy, N.Y.
6.
Gazetas, G., and Dobry, R.(1984). “Simple radiation damping model for piles and footings.”J. Engrg. Mech., ASCE, 110(6), 937–956.
7.
Jain, S. K., and Scott, R. F. (1989). “Seismic analysis of cantilever retaining walls.”Proc., Struct. Mech. in Reactor Technol., A. S. Hadjian, ed., Am. Assoc. for Struct. Mech. in Reactor Technol., Los Angeles, Calif., 241–246.
8.
Karkanias, S. (1983). “Seismic behavior and simplified analysis of anchored sheet pile bulkheads,” MS thesis, Rensselaer Polytechnic Inst., Troy, N.Y.
9.
Miller, C. A., Costantino, C. J., and Heymsfeld, E. (1991). “Soil-structure interaction effects on high level waste tanks.”Proc., 3rd D.O.E. Natural Phenomena Hazards Mitigation Conf., Lawrence Livermore Nat. Lab., Livermore, Calif., 588–595.
10.
Nogami, T., and Novak, M.(1977). “Resistance of soil to a horizontally vibrating pile.”Earthquake Engrg. & Struct. Dyn., 5(3), 249–261.
11.
Novak, M.(1974). “Dynamic stiffness and damping of piles.”Can. Geotech. J., 11(4), 574–598.
12.
Novak, M., and Beredugo, Y. O.(1972). “Vertical vibration of embedded footings.”J. Soil Mech. and Found. Div., ASCE, 98(12), 1291–1310.
13.
Novak, M., Nogami, T., and Aboul-Ella, F. (1977). “Dynamic soil reactions for plane strain case.”Res. Rep. BLWT-1-77, Fac. of Engrg. Sci., Univ. of Western Ontario, London, Ontario, Canada, 1–26.
14.
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.
15.
Novak, M., and Sachs, K.(1973). “Torsional and coupled vibrations of embedded footings.”Earthquake Engrg. & Struct. Dyn., 2(1), 11–33.
16.
Pais, A., and Kausel, E.(1988). “Approximate formulas for dynamic stiffnesses of rigid foundations.”Soil Dyn. & Earthquake Engrg., 7(4), 213–227.
17.
Roesset, J. M., Whitman, R. V., and Dobry, R.(1973). “Modal analysis for structures with foundation interaction.”J. Struct. Div., ASCE, 99(3), 399–416.
18.
Scott, R. F. (1973). “Earthquake-induced pressures on retaining walls.”Proc., 5th World Conf. on Earthquake Engrg., IAEE, Tokyo, Japan, Vol. II, 1611–1620.
19.
Sokolnikoff, I. S. (1983). Mathematical theory of elasticity . R. E. Krieger Co., Malabar, Fla., 253–254.
20.
Tajimi, H. (1969). “Dynamic analysis of a structure embedded in an elastic stratum.”Proc., 4th World Conf. on Earthquake Engrg., IAEE, Tokyo, Japan, III(A-6), 53–69.
21.
Tassoulas, J. L., and Kausel, E.(1983). “On the effects of the rigid sidewall on the dynamic stiffness of embedded circular footings.”Earthquake Engrg. & Struct. Dyn., 11(3), 403–414.
22.
Veletsos, A. S., and Dotson, K. W.(1988). “Horizontal impedances for radially inhomogeneous viscoelastic soil layers.”Earthquake Engrg. & Struct. Dyn., 16(7), 947–966.
23.
Veletsos, A. S., and Nair, V. V. D.(1975). “Seismic interaction of structures on hysteretic foundations.”J. Struct. Div., ASCE, 101(1), 109–129.
24.
Veletsos, A. S., and Tang, Y.(1990). “Deterministic assessment of effects of ground-motion incoherence.”J. Engrg. Mech., ASCE, 116(5), 1109–1124.
25.
Veletsos, A. S., and Verbic, B.(1973). “Vibration of viscoelastic foundations.”Earthquake Engrg. & Struct. Dyn., 2(1), 87–102.
26.
Veletsos, A. S., and Younan, A. H.(1994a). “Dynamic soil pressures on rigid vertical walls.”Earthquake Engrg. & Struct. Dyn., 23(3), 275–301.
27.
Veletsos, A. S., and Younan, A. H.(1994b). “Dynamic soil pressures on rigid cylindrical vaults.”Earthquake Engrg. & Struct. Dyn., 23(6), 645–669.
28.
Veletsos, A. S., and Younan, A. H.(1994c). “Dynamic modeling and response of soil-wall systems.”J. Geotech. Engrg., ASCE, 120(12), 2155–2179.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 9 • September 1995
Pages: 1026 - 1035
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Sep 1, 1995
Published in print: Sep 1995
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.