Abstract
The effect of water compressibility on the seismic responses of arch dams is not well understood. In this paper, a numerical model is developed with rigorous representation of the dynamic interaction between arch dam-waterrock foundation. The model is applied to the seismic response analysis of an arch dam with a height of 292m designed to a seismic intensity of IX. It is shown that consideration of the water compressibility clearly decreases the stress responses at key positions of the dam, while the added mass model gives a conservative estimate.
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References
Clayton R and Engquist B (1977), “Absorbing Boundary Conditions for Acoustic and Elastic Wave Equations,”BSSA,67(6): 1529–1540.
Clough RW (1960), “The Finite Element Method in Plane Stress Analysis,”Pro. 2nd ASME Conference on Electronic Computation, Pittsburgh, Pa.
Dominguez J and Maeso O (1993), “Earthquake Analysis of Arch Dams: Dam-water-foundation Interaction,”J.Eng.Mech., ASCE,119(3): 513–530.
Du Xiuli, Chen Houqun and Hou Shunzai (1996), “Threedimensional Non-linear Seismic Analysis of Arch System,”Earthquake Engineering and Engineering Vibration,16(3): 39–47. (in Chinese)
Du Xiuli and Wang Jinting (2000), “An Explicit Difference Formulation of Dynamic Response Calculation of Elastic Structure with Damping,”Engineering Mechanics,17(5): 37–43. (in Chinese)
Du Xiuli, Zhang Yanhong, Zhang Boyan (2000), “Nonlinear Seismic Response Analysis of Arch Dam-Foundation Systems,”Theories and Applications of Structural Engineering, Entitled by L. Y. Ye and J. P. Ru, Yunnan Science and Technology Press, pp. 1–16.
Fok KL and Chopra AK (1986), “Earthquake Analysis of Arch Dams Including Dam-water Interaction, Reservoir Boundary Absorption and Foundation Flexibility,”Earthquake Engng. Struct. Dyn.,14(2): 155–184.
Ghanaat Y and Clough RW (1989), “EActaP Enhanced Arch Dam Analysis Program,”User’s Manual, Report No. UCB/EERC-89/07, Earthquake Engineering Research Center, University of California, Berkeley, California.
Kuo JS-H (1982), “Fluid-structure Interaction: Added Mass Computations for Incompressible Fluid,”Report No. UCB/EERC-82/09, Earthquake Engineering Research Center, University of California, Berkeley, California.
Liao ZP, Wong HL, Yang BP and Yuan YF (1984), “A Transmitting Boundary for the Numerical Simulation of Elastic Wave Propagation,”Soil Dyn, Earthq. Eng.,3(4): 174–183.
Liao Zhenpeng and Li Xiaojun (1995), “Generalized Multi-transmitting Boundary: Scalar Wave Case,”Acta Mechanica Sinica,27(1): 69–78. (in Chinese)
Liao ZP (1996), “An Introduction to Wave Motion Theories in Engineering.” Academic Press, Beijing, China, pp. 65–322. (in Chinese)
Lysmer J and Kuhlemeyer RL (1969), “Finite Dynamic Model for Infinite Media.”J. Eng. Mech. Div., ASCE,95(4): 859–877.
Tan HC and Chopra AK (1995a), “Earthquake Analysis of Arch Dams Including Dam-water-foundation Rock Interaction,”Earthquake Engng. Struct. Dyn.,24(11): 1453–1474.
Tan HC and Chopra AK (1995b), “Dam-foundation Rock Interaction Effects in Frequency-response Function of Arch Dams,”Earthquake Engng. Struct. Dyn.,24(11): 1475–1489.
Wang Jinting and Du Xiuli (2002), “An Explicit Difference Scheme for Dynamic Analysis of Structure with Damping,”Engineering Mechanics,19(3): 109–112. (in Chinese)
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Sponsored by: National Natural Science Foundation of China for Distinguished Young Scholar of China Under Grant No.50325826; National Natural Science Foundation of China Under Grant No. 50309005; Science & Technology Development Project of Education Committee of Beijing Under Grant No. KM200310005017
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Xiuli, D., Jinting, W. Seismic response analysis of arch dam-water-rock foundation systems. Earthq. Eng. Eng. Vib. 3, 283–291 (2004). https://doi.org/10.1007/BF02858242
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DOI: https://doi.org/10.1007/BF02858242