Abstract
The use of finite element method in soil-structure interaction analysis dictates that the infinite soil medium be truncated along a certain boundary, called artificial boundary, separating the soil-structure system into near and far fields. In conjunction with the analysis of near field, some artificial boundaries capable of transmitting waves from near to far field are proposed in literature. In the present study, first these artificial boundary conditions are reviewed, and then they are assessed by using some chosen sample problems. The comparisons are presented in both time and frequency spaces.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. P. Wolf, Soil-Structure-Interaction Analysis in Time Domain, Printice-Hall, Englewood Cliffs, New Jersey, 1988.
J. Lysmer, Analytical Procedures in Soil Dynamics,Report of Earthquake Engineering Research Center, UCB, Report No. UCB/EERC-78/29, 1978.
J. Lysmer, T. Udaka, C. Tsai and H. B. Seed, FLUSH, Report of Earthquake Engineering Research Center, UCB, Report No. UCB/EERC-75/30, 1975.
R. Clayton and B. Engquist, “Absorbing Boundary Conditions for Acoustic and Elastic Wave Equations”, Bulletin of the Seismological Society of America, 67, 1529–1540 (1977).
M. Cohen and P. C. Jennings, “Silent Boundary Methods for Transient Analysis”, in Computational Methods for Transient Analysis, T.Belytschko and T.J.R.Hughes, eds.
J. Lysmer and G. Waas, “Shear Waves in Plane Infinite Structures”, Journal of the Engineering Mechanics Division, ASCE, 98, 85–105 (1972).
R. R. Kunar and J. Marti, “A Nonreflecting Boundary for Explicit Calculations”, Computational Methods for Infinite Domain Media-Structure Interaction,Applied Mechanics Division,ASME,46 183–204 (1981).
Z. P. Liao and H. L. Wong, “A Transmitting Boundary for the Numerical Simulation of Elastic Wave Propagation”, Soil Dynamics and Earthquake Engineering,3, 174–183 (1984).
J. M. Roesset and M. M. Ettouney, “Transmitting Boundaries: A Comparison”, International Journal for Numerical and Analytical Methods in Geomechanics, 1 151–176 (1977).
W. D. Smith, “A Nonreflecting Plane Boundary for Wave Propagating Problems”, Journal of Computational Physics, 15, 492–503 (1986).
J. P. Wolf, “A Comparison of Time-Domain Transmitting Boundaries”, Earthquake Engineering and Structural Dynamics, 14 655–673 (1986).
J. Lysmer and R. L. Kuhlemeyer, “Finite Dynamic Model for Infinite Media”, Journal of the Engineering Mechanics Division, ASCE, 95 859–877 (1969).
W. White, S. Valliappan and I. K. Lee, “Unified Boundary for Finite Dynamic Models”, Journal of the Engineering Mechanics Division, ASCE, 103 949–964 (1977).
B. Engquist and A. Majda, “Absorbing Boundary Conditions for the Numerical Solution of Waves”, Mathematics of Computations, 31 629–651 (1977).
G. Waas and J. Lysmer, “Vibrations of Footings Embedded in Layered Media”, Proceedings of the Water Experimental Station, Symposium on the Applications of the Finite Element Method in Geotechnical Engineering, U. S. Army Engineers, Water Experimental Station, Vicksburg, Miss., 1972.
A. G. Masso, J. Lysmer, J. C. Chen and H. B. Seed, Soil-Structure-Interaction in Different Seismic Environments, Report of Earthquake Engineering Research Center, UCB, Report No. UCB/EERC-79/18, 1979.
H. D. McNiven and Y. Mengi, “Critical Angles Associated with the Reflection-Refraction of Elastic Waves at an Interface”, The Journal of the Acoustical Society of America, 44 1658–1663 (1968).
Y. Mengi and H. D. McNiven, “Asymptotic Phase Velocities of Axisymmetric Waves in Composite Rods”, The Journal of the Acoustical Society of America, 42 66–72 (1967).
Y. Mengi and A. K. Tanrikulu, “A Numerical Technique for Two-Dimensional Transient Wave Propagation Analyses”, Communications in Applied Numerical Methods, 6 623–632 (1990).
H. L. Wong and J. E. Luco, “Dynamic Response of Rectangular Foundations to Obliquely Incident Seismic Waves”, Earthquake Engineering and Structural Dynamics, 6 3–16 (1978).
C. A. Brebbia and J. Dominguez, Boundary Elements, An Introductory Course, McGraw-Hill, New York, 1989.
J. E. Luco and R. A. Westmann, “Dynamic Response of A Rigid Footing Bonded to An Elastic Half Space”, Journal of Applied Mechanics, 39 E 527–534 (1972).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Mengi, Y., Tanrikulu, A.K. (1993). Absorbing Boundary Conditions in Soil-Structure Interaction Analyses. In: Gülkan, P., Clough, R.W. (eds) Developments in Dynamic Soil-Structure Interaction. NATO ASI Series, vol 390. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1755-5_6
Download citation
DOI: https://doi.org/10.1007/978-94-011-1755-5_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4770-8
Online ISBN: 978-94-011-1755-5
eBook Packages: Springer Book Archive