Surface Waves of Oblique Incidence Across Deep Infilled Trenches
Publication: Journal of Engineering Mechanics
Volume 121, Issue 3
Abstract
Propagation of surface waves of oblique incidence across infilled trenches is considered. An analytical approach based on the Green's function technique is developed to estimate the reflection and transmission of surface waves across a layer inserted between two homogeneous quarter-spaces. For the transmission of surface waves across the layer, a differential matrix operator is constructed by using Taylor series expansion in order to relate field quantities on each side of the layer. Reflection and transmission coefficients of the Rayleigh wave across the layer are then integrated by using the representation theorem. After validating the method against experimental data, influence of the material contrast and the angle of incidence on the efficiency of an in-filled trench is examined.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ahmad, S., and Al-Hussaini, T. M.(1991). “Simplified design for vibration screening by open and in-filled trenches.”J. Geotech. Engrg., 117(1), 67–87.
2.
Aki, K., and Richards, P. G. (1980). Quantitative seismology . Freeman, San Francisco, Calif.
3.
Biagi, P. F., Gegenkory, T. S., Its, E. N., Manjgaladze, P., Scrigna, V., and Zilpimiani, D.(1990). “Transmission and reflection of Rayleigh waves at a thin low velocity layer: A laboratory and theoretical study.”PAGEOPHYSICS, 133(2), 317–327.
4.
Its, E. N.(1991). “Surface wave propagation across a narrow vertical layer between horizontally homogeneous quarter-spaces.”Wave Motion, 14(1), 11–23.
5.
Its, E. N., and Lee, J. S.(1993a). “Propagation of surface waves across a wave barrier with non-rigid contacts.”Int. J. Engrg. Sci., 31(8), 1151–1163.
6.
Its, E. N., and Lee, J. S.(1993b). “Reflection and transmission of surface waves at a vertical interface in anisotropic media.”Bull. Seismological Soc. of Am., 83(5), 1355–1372.
7.
Its, E. N., and Lee, J. S.(1994). “Propagation of surface waves across an anisotropic layer.”J. Appl. Mech., 61(3), 651–659.
8.
Leung, K. L., Beskos, D. E., and Vardoulakis, I. G. (1990). “Vibration isolation using open or filled trenches.”Computational Mech., Vol. 7, 137–148.
9.
Levshin, A. L. et al. (1989). Seismic surface waves in horizontally inhomogeneous earth . Elsevier Applied Sciences, Amsterdam, The Netherlands.
10.
Lysmer, J., and Waas, G. (1972). “Shear waves in plane infinite structures.”J. Engrg., Mech. Div., ASCE, 98(1), Proc. Paper 8716, 85–105.
11.
Richart, F. E. Jr., Hall, J. R., and Woods, R. D. (1970). Vibrations of soils and foundations . Prentice-Hall, Inc., Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Mar 1, 1995
Published in print: Mar 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.