Simplified Design for Vibration Screening by Open and In‐Filled Trenches
Publication: Journal of Geotechnical Engineering
Volume 117, Issue 1
Abstract
Rectangular open or in‐filled trenches (wave barriers) are often used in engineering practice to reduce the ground vibrations caused by propagating surface (Rayleigh) waves of relatively small wavelengths. This paper presents simple design expressions for estimating the vibration screening effectiveness of rectangular wave barriers in homogeneous soil deposits. The design formulas are developed by conducting an extensive numerical investigation on the influence of various geometrical and material parameters on the vibration screening effectiveness of the barriers. An advanced direct Boundary Element Method (BEM) incorporating higher‐order isoparametric elements and a sophisticated self‐adaptive numerical integration scheme is used for this study. Dimensionless parameters that govern a barrier's performance are then identified, and models are developed taking these parameters into account in a simplified way. Through some comparisons with results from the rigorous BEM code and available experimental data, the applicability of the model is demonstrated. Some layered soil cases are also studied, and the important effects of layering on the performance of a trench as a wave barrier are presented.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Aboudi, J. (1973). “Elastic waves in half‐space with thin barrier.” J. Engrg. Mech. Div., ASCE, 99(1), 69–83.
2.
Ahmad, S., and Banerjee, P. K. (1988). “Multi‐domain BEM for two‐dimensional problems in elastodynamics.” Int. J. Numer. Methods Engrg., 26(4), 891–911.
3.
Banerjee, P. K., Ahmad, S., and Chen, K. (1988). “Advanced Application of BEM to wave barriers in multilayered three‐dimensional soil media.” Earthquake Engrg. and Struct. Dynamics, 16(7), 1041–1060.
4.
Barkan, D. D. (1962). Dynamics of bases and foundations. McGraw‐Hill, New York, N.Y.
5.
Beskos, D. E., Dasgupta, G., and Vardoulakis, I. G. (1985). “Vibration isolation of machine foundations.” Vibration problems in geotechnical engineering, G. Gazetas and E. T. Selig, eds., ASCE, New York, N.Y., 138–151.
6.
Beskos, D. E., Dasgupta, G., and Vardoulakis, I. G. (1986a). “Vibration isolation using open or filled trenches. Part 1: 2‐D homogeneous soil.” Comput. Mech., 1(1), 43–63.
7.
Beskos, D. E., Leung, K. L., and Vardoulakis, I. G. (1986b). “Vibration isolation of structures from surface waves in layered soil.” Recent Applications in Computational Mechanics, D. L. Karabolis, ed., ASCE, New York, N.Y., 125–140.
8.
Dasgupta, G., Beskos, D. E., and Vardoulakis, I. G. (1986). “3‐D vibration isolation using open trenches.” Innovative Numerical Methods in Engineering, R. P. Shaw, ed., Springer‐Verlag, Berlin, Germany, 385–392.
9.
Dasgupta, G., Beskos, D. E., and Vardoulakis, I. G. (1988). “3‐D analysis of vibration isolation of machine foundations.” Proc., 10th Boundary Elements Conf., Vol. 4, C. A. Brebbia, ed., Springer‐Verlag, Berlin, Germany, 59–73.
10.
de Bremaecker, J. C. (1958). “Transmission and reflection of Rayleigh waves at corners.” Geophys., 23(2), 253–266.
11.
Dolling, H. J. (1965). “Schwingungsisolierung von Bauwerken durch tiefe auf geeignete Weise stabilisierte Schiltze.” VDI‐Berichte, 88, 3741 (in German).
12.
Emad, K., and Manolis, G. D. (1985). “Shallow trenches and propagation of surface waves.” J. Engrg. Mech., ASCE, 111(2), 279–282.
13.
Fuyuki, M., and Matsumoto, Y. (1980). “Finite difference analysis of Rayleigh wave scattering at a trench.” Bull. Seismol. Soc. Am., 70(6), 2051–2069.
14.
Haupt, W. A. (1977). “Isolation of vibration by concrete core walls.” Proc., 9th Int. Conf. Soil Mech. and Found. Engrg., Vol. 2, Japanese Society of Soil Mech. and Found. Engrg., 251–256.
15.
Haupt, W. A. (1978). “Surface waves in nonhomogeneous half‐space.” Dynamical methods in soil and rock mechanics. B. Prange, ed., A. A. Balkema, Rotterdam, The Netherlands, 335–367.
16.
Kobayashi, S., and Nishimura, N. (1983). “Analysis of dynamic soil‐structure interaction by boundary integral equation method.” Proc., 3rd Int. Symp. Numerical Methods in Engrg., Pluralis Publication, Paris, France, 353–362.
17.
Leung, K. L., Vardoulakis, I. G., and Beskos, D. E. (1987). “Vibration isolation of structures from surface waves in homogeneous and nonhomogeneous soils.” Soil‐structure interaction, A. S. Cakmak, ed., Elsevier, Amsterdam, The Netherlands, 155–169.
18.
May, T. W., and Bolt, B. A. (1982). “The effectiveness of trenches in reducing seismic motion,” Earthquake Engrg. Struct. Dyn., 10(2), 195–210.
19.
McNeill, R. L., Margason, B. E., and Babcock, F. M. (1965). “The role of soil dynamics in the design of stable test pads.” Proc., Guidance and Control Conference, 366–375.
20.
Neumeuer, H. (1963). “Untersuchungen uber die Abschirmung eines bestehenden Gebaudes gegen Erschutterungen beim Bau and Betrieb einer U‐Bahnstrecke.” Baumaschine and Bautechnik‐10, Jahrgang, Heft 1, 23–29(in German).
21.
Richart, F. E., Jr., Woods, R. D., and Hall, J. R., Jr. (1970). Vibration of soils and foundations. Prentice‐Hall, Englewood Cliffs, N.J.
22.
Segol, G., Lee, P. C. Y., and Abel, J. F. (1978). “Amplitude reduction of surface waves by trenches.” J. Engrg. Mech. Div., ASCE, 104(3), 621–641.
23.
Wass, G. (1972). “Linear two‐dimensional analysis of soil dynamics problems in semi‐infinite layered media,” thesis presented to the University of California, at Berkeley, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
24.
Woods, R. D. (1968). “Screening of surface waves in soils.” J. Soil Mech. Found. Div., ASCE, 94(4), 951–979.
Information & Authors
Information
Published In
Copyright
Copyright © 1991 ASCE.
History
Published online: Jan 1, 1991
Published in print: Jan 1991
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.