Transient Infinite Elements for 2D Soil-Structure Interaction Analysis
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 124, Issue 10
Abstract
Starting from two-dimensional (2D) equations of motion and making use of the Galerkin weighted residual approximations, discretized formulations in the Laplace transform domain for the transient behavior of soil-structure interaction problems have been derived. Three different dynamic infinite elements taking into account single- and multiwave types are presented in the transformed space. By coupling the infinite elements with standard finite elements, an ordinary finite-element procedure is used for the simulation of wave propagation in an unbounded foundation due to the external forces. In this model, only source problems can be handled. Examples studied here indicate that the present approach has sufficient computational accuracy and feasibility for analyzing the transient response of complicated soil-structure interaction problems.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ahmad, S., and Banerjee, P. K.(1988). “Multi-domain BEM for two-dimensional problems of elastodynamics.”Int. J. Numer. Methods in Engrg., 26, 891–911.
2.
Bettess, P., and Zienkiewicz, O. C.(1977). “Diffraction and refraction of surface waves using finite and infinite elements.”Int. J. Numer. Methods in Engrg., 11, 1271–1290.
3.
Chuhan, Z., and Chongbin, Z.(1987). “Coupling method of finite and infinite elements for strip foundation wave problems.”Earthquake Engrg. and Struct. Dyn., 15, 839–851.
4.
Cook, R. D., Malkus, D. S., and Plesha, M. E. (1989). Concepts and applications of finite element analysis, 3rd Ed., John Wiley & Sons, Inc., New York, N.Y.
5.
Dhatt, G., and Touzot, G. (1984). The finite element method displayed. John Wiley & Sons, Inc., New York, N.Y.
6.
Durbin, F.(1974). “Numerical inversion of Laplace transforms: An efficient improvement to Dubner and Abate's method.”Comp. J., 17, 371–376.
7.
Israil, A. S. M., and Banerjee, P. K.(1990). “Advanced time-domain formulation of BEM for two-dimensional transient elastodynamics.”Int. J. Numer. Methods in Engrg., 29, 1421–1440.
8.
Lysmer, J., et al. (1981). “SASSI—A system for analysis of soil-structure interaction.”Rep. No. UCB/GT/81-02, Univ. of California, Berkeley, Calif.
9.
Lysmer, J., and Kuhlemeyer, R. L.(1969). “Finite dynamic model for infinite media.”J. Engrg. Mech. Div., ASCE, 95(4), 859–877.
10.
Lysmer, J., Takekazu, U., Chang-Feng, T., and Seed, H. B. (1975). “FLUSH—A computer program for approximate 3-D analysis of soil-structure interaction problems.”Rep. No. EERC 75-30, Univ. of California, Berkeley, Calif.
11.
Lysmer, J., and Waas, G. (1972). Shear waves in plane infinite structures.”J. Engrg. Mech. Div., ASCE, 98, 85–105.
12.
Mansur, W. J. (1983). “A time-stepping technique to solve wave propagation problems using the boundary element method,” PhD thesis, Southamptom Univ., Southampton, England.
13.
Medina, F., and Penzien, J.(1982). “Infinite elements for elastodynamics.”Earthquake Engrg. and Struct. Dyn., 10, 699–709.
14.
Medina, F., and Taylor, R. L.(1983). “Finite element techniques for problems of unbounded domains.”Int. J. Numer. Methods in Engrg., 19, 1209–1226.
15.
Mengi, Y., Tanrikulu, A. H., and Tanrikulu, A. K. (1994). Boundary element method for elastic media: An introduction. METU Press, Ankara, Turkey.
16.
Narayanan, G. V. (1979). “Numerical operational methods in structural dynamics,” PhD thesis, Univ. of Minnesota, Minneapolis, Minn.
17.
Tseng, M. N., and Robinson, A. R. (1975). “A transmitting boundary for finite difference analysis of wave propagation in solids.”Proj. No. NR 064-183, Univ. of Illinois, Urbana, Ill.
18.
Vardoulakis, I. G., Beskos, D. E., Leung, K. L., Dasgupta, B., and Sterling, R. L.(1987). “Computation of vibration levels in underground space.”Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 24(5), 291–298.
19.
Von Estorff, O., Pais, A. L., and Kausel, E.(1990). “Some observations on time domain and frequency domain boundary elements.”Int. J. Numer. Methods in Engrg., 29, 785–800.
Information & Authors
Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 124 • Issue 10 • October 1998
Pages: 976 - 988
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Oct 1, 1998
Published in print: Oct 1998
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.