Dynamic Modeling and Response of Soil‐Wall Systems
Publication: Journal of Geotechnical Engineering
Volume 120, Issue 12
Abstract
Following a brief review of the inaccuracies that may result from the use of a popular model for evaluating the dynamic soil pressures and associated forces induced by ground shaking in a rigid wall retaining an elastic stratum, the sources of the inaccuracies are identified and a modification is proposed which, while retaining the attractiveness of the original model, defines correctly the action of the system. In the proposed modification, the soil stratum is modeled by a series of elastically supported, semiinfinite horizontal bars with distributed mass rather than by massless springs. The concepts involved are introduced by reference to a fixed‐based wall retaining a homogeneous elastic stratum, and are then applied to the analysis of more complex soil‐wall systems. Both harmonic and transient excitations are considered, and comprehensive numerical solutions are presented that elucidate the actions of the systems examined, and the effects and relative importance of the numerous parameters involved.
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References
1.
Abramowitz, M., and Stegun, I. A. (1965). Handbook of mathemetical functions. Dover Publications, New York, N.Y.
2.
Alampalli, S., and Elgamal, A. W. (1991). “Retaining wall; computation of seis‐mically induced deformations.” Proc., 2nd Int. Conf. on Recent Adv. in Geotech. Earthquake Eng. and Soil Dyn., University of Missouri‐Rolla, Rolla, Mo., I, 635–642.
3.
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., University of Missouri‐Rolla, Rolla, Mo., I, 235–240.
4.
Beredugo, Y. O., and Novak, M. (1972). “Coupled horizontal and rocking vibration of embedded footings.” Can. Geotech. J., 9(4), 477–497.
5.
Bielak, J. (1969). “Base moment for a class of linear systems.” J. Eng. Mech. Div., ASCE, 95(5), 1053–1062.
6.
Dennehy, K. T. (1984). “Seismic vulnerability, analysis and design of anchored bulkheads,” PhD thesis, Rensselaer Polytechnic Institute, Troy, N.Y.
7.
Flores‐Berrones, R., and Whitman, R. V. (1982). “Seismic response of end‐bearing piles.” J. Geotech. Eng. Div., ASCE, 108(4), 554–569.
8.
Gradshteyn, I. S., and Ryzhik, I. M. (1965). Table of integrals, series and products. Academic Press, New York, N.Y.
9.
Jain, S. K., and Scott, R. F. (1989). “Seismic analysis of cantilever retaining walls.” Proc., of Struct. Mech. in Reactor Technol. (SMIRT), Anaheim, Calif., 241–246.
10.
Karkanias, S. (1983). “Seismic behavior and simplified analysis of anchored sheet pile bulkheads,” PhD thesis, Rensselaer Polytechnic Institute, Troy, N.Y.
11.
Kotsubo, S. (1959). “Dynamic water pressure on dams due to irregular earthquakes.” Memoires Fac. of Engrg., Kyushu University, Fukuoka, Japan, 18(4), 119–129.
12.
Matuo, H., and Ohara, S. (1960). “Lateral earth pressure and stability of quay walls during earthquakes.” Proc., 2nd World Conf. Earthquake Engrg., International Association for Earthquake Engineering, Tokyo, Japan.
13.
Meek, J. W., and Wolf, J. P. (1991). “Insights on cutoff frequency for foundation on soil layer.” Earthquake Engrg. & Struct. Dyn., 20(7), 651–665.
14.
Miller, C. A., Costantino, C. J., and Heymsfeld, E. (1991). “Soil‐structure interaction effects on high level waste tanks.” Proc., Third D.O.E. Natural Phenomena Hazards Mitigation Conf., Lawrence Livermore National Laboratory, Livermore, Calif., 588–595.
15.
Novak, M., and Beredugo, Y. O. (1972). “Vertical vibration of embedded footings.” J. Soil Mech. and Found. Div., ASCE, 98(12), 1291–1310.
16.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., 11(4), 574–598.
17.
Scott, R. F. (1973). “Earthquake‐induced pressures on retaining walls.” Proc., 5th World Conf. on Earthquake Engrg., International Association of Earthquake Engineering, Tokyo, Japan, II, 1611–1620.
18.
Soydemir, C. (1991). “Seismic design of rigid underground walls in New England.” Proc., 2nd Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., University of Missouri‐Rolla, Rolla, Mo., I, 613–620.
19.
Veletsos, A. S., and Nair, V. V. D. (1975). “Seismic interaction of structures on hysteretic foundations.” J. Struct. Div., ASCE, 101(1), 109–129.
20.
Veletsos, A. S., and Tang, Y. (1990). “Deterministic assessment of effects of ground‐motion incoherence.” J. Eng. Mech. Div., ASCE, 116(5), 1109–1124.
21.
Veletsos, A. S., and Ventura, C. E. (1985). “Dynamic analysis of structures by the DFT method.” J. Struct. Div., ASCE, 111(12), 2625–2642.
22.
Veletsos, A. S., and Verbic, B. (1973). “Vibration of viscoelastic foundations.” Earthquake Engrg. & Struct. Dyn., 2(4), 87–102.
23.
Veletsos, A. S., and Younan, A. H. (1994). “Dynamic soil pressures on rigid vertical walls.” Earthquake Engrg. & Struct. Dyn., 23(3), 275–301.
24.
Wood, J. H. (1973). “Earthquake‐induced pressures on retaining walls.” Rep. EERL 73‐05, Earthquake Engrg. Res. Lab., California Institute of Technology, Pasadena, Calif.
25.
Wolf, J. P. (1988). Soil‐structure interaction analysis in time domain. Prentice‐Hall, Englewoods Cliffs, N.J., 88–95.
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Copyright © 1994 American Society of Civil Engineers.
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Received: Oct 13, 1993
Published online: Dec 1, 1994
Published in print: Dec 1994
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