Earthquake-induced hydrodynamic pressures on a 3D rigid dam-reservoir system using DRBEM and a radiation matrix

International Journal for Numerical Methods in Engineering

Volumn 56, Issue 10, 2003, Pages 1511-1532

  Fahjan, Yasin M ^a   Börekçi, Osman S ^a   Erdik, Mustafa ^a  

^a BOGAZICI UNIVERSITY   (Turkey)

Author keywords

Dam reservoir modelling; Dual reciprocity boundary element method; Helmholtz equation; Hydrodynamic pressure; Radiation matrix

Indexed keywords

BOUNDARY CONDITIONS; DAMS; EARTHQUAKE EFFECTS; HYDRODYNAMICS; INTERFACES (MATERIALS); MATRIX ALGEBRA; PRESSURE DISTRIBUTION;

DUAL RECIPROCITY METHOD;

RESERVOIRS (WATER);

BOUNDARY ELEMENT METHOD; DAM; EARTHQUAKE; HYDRODYNAMICS; PRESSURE; RESERVOIR;

EID: 0037436469     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.623     Document Type: Article

References (25)

1. Beskos D. Boundary element methods in dynamic analysis: part II (1986-1996). Applied Mechanics Reviews (ASME) 1997; 50(3):149-197.
2. Hall JF, Chopra AK. Dynamic response of embankment concrete-gravity and arch dams including hydrodynamic interaction. Report No. UCB/EERC-80/39, Earthquake Engineering Research Center, U.C., Berkeley, CA, 1980.
3. Hall JF, Chopra AK. Dynamic analysis of arch dams including hydrodynamic effects. Journal of Engineering Mechanics (ASCE) 1983; 109(1): 149-167.
4. Fok KL, Chopra AK. Earthquake analysis of arch dams including dam-water interaction, reservoir boundary absorption and foundation flexibility. Earthquake Engineering and Structural Dynamics 1986; 14:155-184.
5. Fok KL, Chopra AK. Frequency response functions for arch dams: hydrodynamic and foundation flexibility effects. Earthquake Engineering and Structural Dynamics 1986; 14:769-795.
6. Fok KL, Chopra AK. Water compressibility in earthquake response of Arch Dams. Journal of Structural Engineering (ASCE) 1987; 113(7):958-975.
7. Rashed A, Kandasamy KA. Boundary element model of reservoir for the three-dimensional earthquake analysis of gravity dams. In Proceedings of Fourth U.S. National Conference on Earthquake Engineering, Palm Springs: California, 1990.
8. Medina F, Dominguez J. Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects I. Engineering Analysis with Boundary Elements 1989; 6(3):152-157.
9. Dominguez J, Medina F. Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects II. Engineering Analysis with Boundary Elements 1989; 6(3):158-163.
10. Dominguez J, Gallego R, Japon BR. Effects of porous sediments on seismic response of concrete gravity dams. Journal of Engineering Mechanics (ASCE) 1997; 123(4):302-311.
11. Maeso O, Dominguez J. Earthquake analysis of arch dams. I: dam-foundation interaction. Journal of Engineering Mechanics (ASCE) 1993; 119(3):496-512.
12. Dominguez J, Maeso O. Earthquake analysis of arch dams. II: dam-water-foundation interaction. Journal of Engineering Mechanics (ASCE) 1993; 119(3):513-530.
13. Nardini D, Brebbia CA. A new approach to free vibration analysis using boundary elements. In Boundary Element Methods in Engineering, Brebbia (ed.). Springer: Berlin, 1982; 312-326.
14. Ahmad S, Banerjee PK. A new method for vibration analysis by BEM using particular integrals. Journal of Engineering Mechanics (ASCE) 1986; 113:682-695.
15. Banerjee PK, Ahmad S, Wang HC. New bem formulation for the acoustic eigen frequency analysis. International Journal for Numerical Methods in Engineering 1988; 26:1299-1309.
16. Ali A, Rajakumar C, Yunus SM. On the formulation for acoustic boundary element eigenvalue problems. International Journal for Numerical Methods in Engineering 1991; 31:1271-1282.
17. Tsai CS, Lee GC, Ketter RL. Solution of the dam-reservoir interaction problem using a combination of fem, bem with particular integrals, modal analysis, and substructing. Technical Report NCEER-88-0036, National Center for Earthquake Engineering Research, SUNY, Buffalo, 1988.
18. Partridge PW, Brebbia CA, Wrobel LC. The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications and Elsevier: Southampton 1991.
19. Partridge PW. Approximation functions in the dual reciprocity method. Boundary Elements Communications 1997; 8(1):1-4.
20. Partridge PW. Towards criteria for selecting approximation functions in the Dual Reciprocity Method. Engineering Analysis with Boundary Elements 2000; 24:519-529.
21. Karur SR, Ramachandran GA. Augmented thin plate spline approximation in DRM. Boundary Elements Communications 1995; 6:55-58.
22. Bridges TR, Wrobel LC. A dual reciprocity formulation for elasticity problems with body forces using augmented thin plate splines. Communications in Numerical Methods in Engineering 1996; 12:209-220.
23. Golberg MA, Chen CS. The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations. Boundary Elements Communications 1994(5):57-61.
24. Rashed AA, Iwan WD. Hydrodynamic pressure of short-length gravity dams. Journal of Engineering Mechanics (ASCE) 1984; 110(9):1264-1283.
25. Moller M, Stewart S. An algorithm for solving the generalized matrix eigenvalue problem. SIAM Journal on Numerical Analysis 1973; 10:241-256.