Abstract
A solution procedure is proposed for the determination of the hydrodynamic pressures on dams with infinite reservoir in the upstream direction. Frequency-independent fundamental solutions are used in the analyses which include the effect of water compressibility.
One of the major difficulties in infinite reservoir analysis is the assessment of the effect of radiation damping. This difficulty is solved in this paper by modeling the near field and the cross-section of the far field of the fluid domain by the boundary element method with particular integrals. The upstream direction of the far field is modeled by continuum solutions. Numerical results in the three-dimensional fluid domain are obtained and compare well with available classical solutions. Results obtained in this paper are also compared with available numerical solutions where classical solutions do not exists. It is concluded that the proposed research yields accurate solutions on hydrodynamic pressures with very good computational efficiency.
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
Westergaard, H. M. (1933), Water Pressures on Dams During Earthquakes, Transactions, ASCE. Vol. 98, pp. 418–433.
Chwang, A. T., and Housner, George W. (1978), Hydrodynamic Pressures on Sloping Dams During Earthquakes. Part 1. Momentum Method, Journal of Fluid Mechanics, Vol 87, Part 2, pp. 335–341.
Von Karman, T. (1933), Discussion of Water Pressures on Dams During Earthquakes, Transaction, ASCE, 98, pp. 434–436.
Zangar, C. N. (1953), Hydrodynamic. Pressures On Dams Due To Horizontal Earthquakes, Proceeding Of The Society For Experimental Stress Analysis, Vol 10, No. 2, pp. 93–102.
Zienkiewicz, O. C., and Nath Bhaskar (1963), Earthquake Hdrodynamic Pressures on Arch dams–An Electric Analogue Solution, Proc. Inst. Civil Engineering, 25, pp. 165–176.
Chopra, A. K. (1967), Hydrodynamic Pressures on dams During Earthquakes. Journal of the Engineering Mechanics Division, Proc. of the ASCE, Vol. 93, No. EM6, pp. 205–223.
Chwang. A. T. (1978), Hydrodynamic Pressures on Sloping Dams Dur-ing Earthquakes. Part 2. Exact Theory, Journal of Fluid Mechanics, Vol 87. Part 2. pp. 343–348.
Saini. S. S., Bettess, P., and Zienkiewicz, O. C. (1978), Coupled Hydrodynamic Response of Concrete Gravity Dams Using Finite and Infinite Elements, Earthquake Engineering and Structral Dynamics, Vol. 6, pp. 363–374.
Hall, J. F., and Chopra, A. K. (1980), Dynamic Response of Embankment, Concrete–Gravity and Arch dams Including Hydrodynamic Interaction, Earthquake Engineering Research Center, Report No. EERC 80–39, U. C. Berkely, California.
Clough, R. W., Stephen, R. M., and Kuo, J. S.-H. (1982), Dynamic Response Analysis of Techi Dam, Earthquake Engineering Research Center, Report No. EERC 82–09, U. C. Berkeley, California.
Porter Craig S., and Chopra, A. K. (1982), Hydrodynamic Effects in Dynamic Response of Simple Arch Dams, Earthquake Engineering and Structural Dynamics, Vol 10, pp. 417–431.
Sharan, Shailendra K. (1985), Finite Element Modeling of Infinite Reservoirs. Journal of the Engineering Mechnaics, Proc. of the ASCE, Vol. 111, No. 12, pp. 1457–1469.
Hanna, Y. G., and Humar J. L. (1982). Boundary Element Analysis of Fluid Domain, Journal of the Engineering Mechanics Division, Proc. of the ASCE. Vol. 108, No. EM2, pp. 436–450.
Brebbia, C. A.. and Nardini (1985), Dynamic Analysis in Solid Mechanics by An Alternative Boundary Element Procedure, Boundary Element Research Edited by Brebbia. C. A.. A Computational Mechanics Publication.
Ahmad, S., and Banerjee, P. K. (1986), Free Vibration Analysis by BEM Using Particular Integrals, Journal of the Engineering Mechanics Division, Proc. of the ASCE, Vol. 112, No. 7, pp. 682–695.
Szabo, B. A., and Lee, George. C. (1969), Derivation of Stiffness Equation for Problems in Elasticity by Galerkin’s Method, Int. J. Numerical Methods in Engineering, 1, No. 3, pp. 301–310.
Szabo, B. A.. and Lee, George. C. (1969), Stiffness Matrix for Plates by Galerkin’s Method, Journal of the Engineering Mechanics Division, Proc. of the ASCE, Vol 95, No. EM3, pp. 571–585.
Brebbia, C. A., and Walker S. (1980). Boundary Element Techniques in Engineering, Newnes-Butter Worths.
Junger, Miguel C. and Feit, David (1986). Sound, Structures and Their Interaction. The MIT Press.
Tsai, C. S. and Lee, G. C.,Arch Dam-Fluid Interactions: By FEMBEM and Substructure Concept, International Numerical Method In Engineering. (In Press).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tsai, CS., Lee, G.C. (1987). Analyses of Infinite Reservoir Using the Boundary Element Method with Particular Integrals. In: Brebbia, C.A., Wendland, W.L., Kuhn, G. (eds) Mathematical and Computational Aspects. Boundary Elements IX, vol 9/1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21908-9_10
Download citation
DOI: https://doi.org/10.1007/978-3-662-21908-9_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-21910-2
Online ISBN: 978-3-662-21908-9
eBook Packages: Springer Book Archive