Antiplane Earthquake Waves in Long Structures
Publication: Journal of Engineering Mechanics
Volume 115, Issue 12
Abstract
In this paper, the physical phenomena associated with wave passage under long buildings have been studied. A two‐dimensional, continuous model has been used to represent the building vibration. Analytical, closed‐form solutions have been obtained for the response to incident monochromatic, plane SH‐waves. The soil‐structure interaction has been neglected. The response of this model abounds with physical phenomena that cannot be seen from the response of one‐dimensional building models. Some of these phenomena are important and must be considered in the design practice. For example, the propagating waves excite antisymmetric horizontal modes of vibration even in perfectly symmetrical long buildings. Thus, they contribute with forces and deformations that are not present in the one‐dimensional analysis. It is shown in this paper that buildings can vibrate with modes that are exponential functions in the vertical direction, and that the transfer of the wave energy from the ground into the building depends on the phase velocities of the ground waves.
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References
1.
Akademia Nauk SSSR. (1987). Volnovie Protcesi v Konstrukciah Zdanii pri Seizmitcheskiih Vozdeistviah. V. A. Krivelev, eds., Nauka, Moskwa, USSR, (in Russian).
2.
Foutch, D. A., et al. (1975). “Full scale three‐dimensional tests of structural deformations during forced excitation of a nine‐story reinforced concrete building.” Proc., U.S. Nat. Conf. on Earthquake Engineering, Ann Arbor, Mich., 206–215.
3.
Gupta, I. D., and Trifunac, M. D. (1987). “A note on contribution of torsional excitation to earthquake response of simple symmetric buildings.” Earthquake Eng. Eng. Vib., 7(3), 27–46.
4.
Hudson, J. A. (1961). “The total internal reflection of SH waves.” Geophys. J. Royal Astronomical Soc., 6, 509–531.
5.
Kashefi, J., and Trifunac, M. D. (1986). “Investigation of earthquake response of simple bridge structure.” Dept. of Civil Engineering Report No. CE 86‐02, Univ. of Southern California, Los Angeles, Calif.
6.
Kojić, S., Trifunac, M. D., and Anderson, J. C. (1984). “A postearthquake response analysis of the Imperial County Services Building in El Centro.” Dept. of Civil Engineering Report No. CE 84‐02, Univ. of Southern California, Los Angeles, Calif.
7.
Moeen‐Vaziri, N., and Trifunac, M. D. (1986). “Investigation of scattering and diffraction of plane seismic waves through two dimensional inhomogeneities.” Dept. of Civil Engineering Report No. CE‐03, Univ. of Southern California, Los Angeles, Calif.
8.
Moslem, K., and Trifunac, M. D. (1987). “Spectral amplitudes of strong earthquake accelerations recorded in buildings.” Soil Dyn. Earthquake Engrg., 6(2), 100–107.
9.
Sato, R. (1961). “Love waves propagated across transitional zone.” Japan. J. Geophys., 2, 117–134.
10.
Todorovska, M. I., Lee, V. W., and Trifunac, M. D. (1988). “Investigation of earthquake response of long buildings.” Dept. of Civil Engineering Report No. CE 88‐02, Univ. of Southern California, Los Angeles, Calif.
11.
Trifunac, M. D. (1971). “Response envelope spectrum and interpretation of strong earthquake ground motion.” Bull. Seism. Soc. Am., 61(2), 343–356.
12.
Tzenov, L. (1981). “Vliane na dlzinata na konstruktsiite vrhu natovaranie.” Bulgarian Acdaemy of Sciences, Theoret. and Appl. Mech., Sofia, XII(2), 97–105,(in Bulgarian).
13.
Tzenov, L., and Boncheva, H. (1979). “Dlgi v plan sgradi s ogled seizmichnoto im osiguriavanie.” Bulgarian Academy of Sciences, Bulgarian Geophys. J., V(4), Sofia, 61–67 (in Bulgarian).
14.
Werner, S. D., et al. (1977). “An evaluation of the effects of traveling seismic waves on the three‐dimensional response of structures.” Report No. R‐7720‐4514, Agbabian Associates, El Segundo, Calif.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 12 • December 1989
Pages: 2687 - 2708
Copyright
Copyright © 1989 ASCE.
History
Published online: Dec 1, 1989
Published in print: Dec 1989
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