Earthquake Stresses in Arch Dams. I: Theory and Antiplane Excitation
Publication: Journal of Engineering Mechanics
Volume 117, Issue 3
Abstract
A procedure is presented for analysis of earthquake response of concrete arch dams to nonuniform motion of the canyon walls. A dam is modeled by the finite‐element method. The nonuniform, free‐field motion of canyon walls is obtained by solving the two‐dimensional wave equation. The transient, upstream‐downstream (antiplane) motions of the canyon walls induced by plane SH‐waves are illustrated. The response of an idealized arch dam is investigated neglecting the dam‐canyon interaction, and the effects caused by the wave propagation across the canyon. The dam response to the nonuniform canyon accelerations decreases by about 25–30% with respect to the case of excitation by the uniform canyon motion.
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References
1.
Bathe, K. J. (1971). “Solution methods of large generalized eigenvalue problems in structural engineering.” Report UC SESM 71‐20, Civ. Engrg. Dept., Univ. of California, Berkeley, Calif.
2.
Bathe, K. J. (1982). Finite element procedure in engineering analysis. Prentice Hall, Inc., Englewood Cliffs, N.J.
3.
Cao, H., and Lee, V. W. (1989). “Scattering of plane SH waves by circular cylindrical canyons of various depth‐to‐width ratios.” European J. of Earthquake Engrg., 3(2), 29–37.
4.
Clough, R. W., Raphael, J. M., and Mojthahedi, S. (1973). “ADAP‐computer program for static and dynamic analysis of arch dams.” Report No. EERC 73‐14, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
5.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures. McGraw‐Hill Book Co., New York, N.Y.
6.
Cooley, J. M., and Tukey, J. M. (1965). “An algorithm for machine calculation of complex Fourier series,” Mathematical Computation, 19, 297–301.
7.
Eringen, A. C., and Suhubi, E. S. (1975). Elastodynamics—volume II. Academic Press, New York, N.Y.
8.
Fok, K.‐L., Hall, J. F., and Chopra, A. K. (1986). “EACD‐3D—a computer program for three‐dimensional earthquake analysis of concrete dams.” Report No. UCB/EERC‐86/09, Univ. of California, Berkeley, Calif.
9.
Hall, J. F. (1982). “An FFT algorithm for structural dynamics.” J. Earthquake Engrg. and Struct. Dynamics, 10(6), 797–811.
10.
Hall, J. F., and Chopra, A. K. (1980). “Dynamic response of embankment concrete—gravity and arch dams including hydrodynamic interaction.” Report No. UCB/EERC‐80/39, Univ. of California, Berkeley, Calif.
11.
Kojić, S. B., Trifunac, M. D., and Lee, V. W. (1988). “Earthquake response of arch dams to nonuniform canyon motion.” Dept. of Civil Engrg. Report No. 88‐03, Univ. of Southern California, Los Angeles, Calif.
12.
Kojić, S. B., and Trifunac, M. D. (1991). “Earthquake stresses in arch dams. II: Excitation by SV‐, P‐, and Rayleigh waves.” J. Engrg. Mech., ASCE, 117(3), 553–574.
13.
Kuo, J. S.‐H. (1982). “Fluid‐structure interaction: Added mass computation for incompressible fluid.” Report No. UCB/EERC‐82/09, Univ. of California, Berkeley, Calif.
14.
Lee, V. W., and Trifunac, M. D. (1985). “Uniform risk spectra of strong earthquake ground motion: NEQRISK.” Report No. CE 85‐05, Univ. of Southern California, Los Angeles, Calif.
15.
Noble, C. (1969). Applied algebra. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
16.
Nowak, P. S., and Hall, J. F. (1990). “Arch dam response to nonuniform seismic input.” J. Engrg. Mech., ASCE, 116(1), 125–139.
17.
Pao, Y. H., and Mow, C. C. (1971). Diffraction of elastic waves and dynamic stress concentrations. Crane, Russak & Company Inc., New York, N.Y.
18.
Trifunac, M. D. (1973). “Scattering of plane SH waves by a semi‐cylindrical canyon.” J. Earthquake Engrg. and Struct. Dynamics, 1(3), 267–281.
19.
Vaziri, M. N., and Trifunac, M. D. (1988a). “Scattering and diffraction of plane SH‐waves by two‐dimensional inhomogeneities.” Int. J. Soil Dynamics and Earthquake Engrg., 7(4), 179–188.
20.
Vaziri, M. N., and Trifunac, M. D. (1988b). “Scattering and diffraction of plane P and SV‐waves by two‐dimensional inhomogeneities.” Int. J. Soil Dynamics and Earthquake Engrg., 7(4), 189–200.
21.
Westergaard, H. M. (1933). “Water pressures on dams during earthquakes.” Trans., ASCE, 9(98).
22.
Wilson, E. L., Taylor, R. L., Doherty, W. P., and Ghaboussi, J. (1973). “Incompatible displacement models.” Numerical and computer methods in structural mechanics. Academic Press, Inc., New York.
23.
Wong, H. L., and Trifunac, M. D. (1974). “Scattering of plane SH waves by a semi‐elliptical canyon.” J. Earthquake Engrg. and Struct. Dynamics, 3(2), 157–169.
24.
Wong, H. L. (1979). “Diffraction of P, SV and Rayleigh waves by surface topographies.” Report No. CE 79‐05, Univ. of Southern California, Los Angeles, Calif.
25.
Wong, H. L., and Trifunac, M. D. (1978). “Synthesizing realistic strong motion accelerograms.” CE 78‐07, Dept. of Civ. Engrg., Univ. of Southern California, Los Angeles, Calif.
26.
Zienkiewicz, O. C., Clough, R. W., and Seed, H. B. (1986). “Earthquake analysis procedures for dams—state of the art.” Bulletin 52, International Commission on Large Dams (ICOLD), Paris, France.
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Copyright © 1991 ASCE.
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Published online: Mar 1, 1991
Published in print: Mar 1991
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