Dynamic Response of Cantilever Retaining Walls
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 123, Issue 2
Abstract
A critical evaluation is made of the response to horizontal ground shaking of flexible cantilever retaining walls that are elastically constrained against rotation at their base. The retained medium is idealized as a uniform, linear, viscoelastic stratum of constant thickness and semi-infinite extent in the horizontal direction. The parameters varied include the flexibilities of the wall and its base, the properties of the retained medium, and the characteristics of the ground motion. In addition to long-period, effectively static excitations, both harmonic base motions and an actual earthquake record are considered. The response quantities examined include the displacements of the wall relative to the moving base, the wall pressures, and the associated shears and bending moments. The method of analysis used is described only briefly, emphasis being placed on the presentation and interpretation of the comprehensive numerical solutions. It is shown that, for realistic wall flexibilities, the maximum wall forces are significantly lower than those obtained for fixed-based rigid walls and potentially of the same order of magnitude as those computed by the Mononobe-Okabe method.
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References
1.
Andersen, G. R., Whitman, R. V., and Germaine, J. T. (1987). “Tilting response of centrifuge-modeled gravity retaining wall to seismic shaking: description of tests and initial analysis of results.”Rep. R87-14, Dept. of Civ. Engrg., MIT, Cambridge, Mass.
2.
Applied Technology Council. (1981). “Seismic design guidelines for highway bridges.”Rep. No. ATC-6, Palo Alto, Calif.
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 Engrg. and Soil Dyn., Univ. of Missouri, Rolla, Mo., 635–642.
4.
Clough, G. W., and Duncan, J. M. (1990). “Earth pressures.”Foundation engineering handbook, H. Y. Fang, ed., Chapman & Hall, Ltd., New York, N.Y., 223–235.
5.
Clough, R. W., and Penzien, J. (1994). Dynamics of structures. McGraw-Hill Book Co., Inc., New York, N.Y.
6.
Felgar, R. P. (1950). “Formulas for integrals containing characteristic functions of a vibrating beam.”Circular No. 14, Bureau of Engineering Research, The Univ. of Texas, Austin, Tex.
7.
Finn, W. D. L., Yogendrakumar, M., Otsu, H., and Steedman, R. S. (1989). “Seismic response of a cantilever retaining wall: centrifuge model test and dynamic analysis.”Proc., 4th Int. Conf. on Soil Dyn. and Earthquake Engrg., Computational Mechanics Inc., Southampton, 331–431.
8.
Matuo, H., and Ohara, S. (1960). “Lateral earth pressure and stability of quay walls during earthquakes.”Proc., 2nd World Conf. on Earthquake Engrg., International Association for Earthquake Engineering, Tokyo, Japan.
9.
Mononobe, N., and Matuo, H. (1929). “On the determination of earth pressures during earthquakes.”Proc., World Engrg. Congr., Tokyo, Japan, Vol. 9, Paper No. 388.
10.
Nadim, F., and Whitman, R. V.(1983). “Seismically induced movement of retaining walls.”J. Geotech. Engrg., ASCE, 109(7), 915–931.
11.
Nazarian, H. N., and Hadjian, A. H.(1979). “Earthquake-induced lateral soil pressures on structures.”J. Geotech. Engrg. Div., ASCE, 105(9), 1049–1066.
12.
Okabe, S. (1924). “General theory of earth pressure and seismic stability of retaining wall and dam.”J. Japan Soc. Civ. Engrs., Tokyo, Japan, 12(1).
13.
Pais, A., and Kausel, E.(1988). “Approximate formulas for dynamic stiffnesses of rigid foundations.”Soil Dyn. and Earthquake Engrg., 7(4), 213–227.
14.
Prakash, S. (1981). “Analysis of rigid retaining walls during earthquakes.”Proc., Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Univ. of Missouri, Rolla, Mo., Vol. III, 1–28.
15.
Richards, J., and Elms, D. G.(1979). “Seismic behavior of gravity retaining walls.”J. Geotech. Engrg. Div., ASCE, 105(4), 449–464.
16.
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.
17.
Seed, H. B., and Whitman, R. V. (1970). “Design of earth retaining structures for dynamic loads.”Proc., Spec. Conf. on Lateral Stresses in the Ground and Des. of Earth Retaining Struct., ASCE, New York, N.Y., 103–147.
18.
Siller, T. J., Christiano, P. P., and Bielak, J.(1991). “Seismic response of tied-back retaining walls.”Earthquake Engrg. and Struct. Dyn., 20(7), 605–620.
19.
Sun, K., and Lin, G. (1995). “Dynamic response of soil pressure on retaining wall.”Proc., 3rd Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Univ. of Missouri, Rolla, Mo., Vol. I, 347–350.
20.
Veletsos, A. S., and Dotson, K. W.(1988). “Horizontal impedances for radially inhomogeneous viscoelastic soil layers.”Earthquake Engrg. and Struct. Dyn., 16(7), 947–966.
21.
Veletsos, A. S., and Verbic, B.(1973). “Vibration of viscoelastic foundations.”Earthquake Engrg. and Struct. Dyn., 2(4), 87–102.
22.
Veletsos, A. S., and Younan, A. H.(1994a). “Dynamic soil pressures on rigid retaining walls.”Earthquake Engrg. and Struct. Dyn., 23(3), 275–301.
23.
Veletsos, A. S., and Younan, A. H.(1994b). “Dynamic modeling and response of soil-wall systems.”J. Geotech. Engrg., ASCE, 120(12), 2155–2179.
24.
Veletsos, A. S., and Younan, A. H. (1995). “Dynamic soil pressures on vertical walls.”Proc., 3rd Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Univ. of Missouri, Rolla, Mo., Vol. III, 1589–1604.
25.
Whitman, R. V. (1990). “Seismic design and behavior of gravity retaining walls.”Proc., Spec. Conf. on Des. and Constr. of Earth Retaining Struct., ASCE, New York, N.Y., 817–842.
26.
Whitman, R. V. (1991). “Seismic design of earth retaining structures.”Proc., 2nd Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Univ. of Missouri, Rolla, Mo., Vol. II, 1767–1777.
27.
Wood, J. H. (1973). “Earthquake-induced soil pressures on structures.”Rep. EERL 73-05, Earthquake Engineering Research Laboratory, California Inst. of Technol., Pasadena, Calif.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Feb 1, 1997
Published in print: Feb 1997
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