Spatial Seismic Excitations and Response Spectra
Publication: Journal of Engineering Mechanics
Volume 119, Issue 12
Abstract
A random‐vibration‐based force‐response spectrum of a simple oscillating frame is proposed as a simplified measure of the effect of spatial seismic excitations on structures. Such a response spectrum reflects the effect of incoherent support motions on quasi‐static and dynamic response of structures. The response spectrum is formulated as a dynamic coefficient in terms of point spectral density and unlagged coherency of excitations as well as frequency‐response function of the oscillator. A concise analysis is performed in order to study joint effect of dynamic and quasi‐static excitations. The effect of two principal parameters (separation distance and apparent wave velocity) is analyzed in detail. It appears that for some values of natural frequency, separation distance, and apparent wave velocity the force spectrum is reduced and that for the others it is amplified. After some calibration, the derived response spectrum may find application in engineering practice as a partial coefficient.
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References
1.
Abrahamson, N. A., and Bolt, B. A. (1985). “The spatial variation of the phasing of seismic strong ground motion.” Bull. Seismological Soc. of Am., 75(5), 1247–1264.
2.
Abrahamson, N. A., Bolt, B. A., Darragh, R. B., Penzien, J., and Tsai, Y. B. (1987). “The SMART 1 accelerograph array (1980–1987): a review.” Earthquake Spectra, 3(2), 263–287.
3.
Abrahamson, N. A., Schneider, J. F., and Stepp, J. C. (1991). “Empirical spatial coherency functions for application to soil‐structure interaction analyses.” Earthquake Spectra, 7(1), 1–27.
4.
Faccioli, E., and Paoluci, R. (1990). “Engineering seismology studies for the design and analysis of bridge structures.” European Earthquake Engrg., 3, 17–28.
5.
Hao, H. (1989). “Effects of spatial variation of ground motion on large multiply‐supported structures.” Rep. No. EERC 89‐06, Earthquake Engineering Research Center, University of California, Berkeley, Calif.
6.
Hao, H. (1991). “Response of multiply supported rigid plate to spatially correlated seismic excitations.” Earthquake Engrg. and Struct. Dynamics, 20, 821–838.
7.
Harichandran, R. S., and Vanmarcke, E. H. (1986). “Stochastic variation of earthquake ground motion in space and time.” J. Engrg. Mech., ASCE, 112(2), 154–174.
8.
Harichandran, R. S., and Wang, W. (1988). “Response of simple beam to spatially varying earthquake excitation.” J. Engrg. Mech., ASCE, 114(9), 1526–1541.
9.
Harichandran, R. S., and Wang, W. (1990). “Response of indeterminate two‐span beam to spatially varying seismic excitation.” Earthquake Engrg. and Struct. Dynamics, 19, 173–187.
10.
Hausner, G. W., Martel, R. R., and Alford, J. C. (1953). “Spectrum analysis of strong‐motion earthquakes.” Bull. Seismological Soc. of Am., 43, 97–119.
11.
Hyun, C.‐H., Yun, C.‐B., and Lee, D.‐G. (1992). “Nonstationary response analysis of suspension bridges for multiple support excitations.” Probabilistic Engrg. Mech., 7(1), 27–35.
12.
Kanai, K. (1957). “Semi‐empirical formula for the seismic characteristic of the ground.” Bull. Earthquake Res. Inst., Tokyo, Japan, 35, 309–325.
13.
Leger, P., Idé, I. M., and Paultre, P. (1990). “Multiple‐support seismic analysis of large structures.” Computer and Struct., 36(6), 1153–1158.
14.
Loh, C.‐H. (1991). “Spatial variability of seismic waves and its engineering application.” Struct. Safety, 10, 95–111.
15.
Loh, C.‐H., Penzien, J., and Tsai, Y. B. (1982). “Engineering analysis of SMART 1 array accelerograms.” Earthquake Engrg. and Struct. Dynamics, 10, 575–591.
16.
Luco, J. E., and Wong, H. L. (1986). “Response of a rigid foundation to a spatially random ground motion.” Earthquake Engrg. and Struct. Dynamics, 14, 891–908.
17.
Nadim, N., Vanmarcke, E. H., Gudmestead, O. T., and Hetland, S. (1991). “Influence of spatial variation of earthquake motion on response of gravity based platforms.” Struct. Safety, 10, 113–128.
18.
Novak, M. (1990). “Spatial correlation effects in random vibration of structures.” Structural Dynamics; Proc., EURODYN '90, Krätzig et al., eds., Balkema, Rotterdam, The Netherlands, Vol. 2, 631–636.
19.
Oliveira, C. S., Hao, H., and Penzien, J. (1991). “Ground motion modeling for multiple‐input structural analysis.” Struct. Safety, 10, 79–93.
20.
Paoluci, R., and Faccioli, E. (1991). “Analysis of spatial variation of earthquake ground motion in the Mexico City area.” Proc., 4th Int. Conf. on Seismic Zonation; Vol. 2. Stanford, Calif.
21.
Perotti, F. (1990). “Structural response to non‐stationary multiple support random excitation.” Earthquake Engrg. and Struct. Dynamics, 19, 513–527.
22.
Ruiz, P., and Penzien, J. (1989). “Probabilistic study of the behavior of structures during earthquakes.” Rep. No. EERC 69‐03, Earthquake Engineering Research Center, University of California, Berkeley, Calif.
23.
Shinozuka, M., and Deodatis, G. (1991). “Stochastic wave models for stationary and homogeneous seismic ground motion.” Struct. Safety, 10, 235–246.
24.
Smith, S. W., Ehrenberg, J. E., and Hernandez. (1982). “Analysis of the El Centro differential array for the 1979 Imperial Valley Earthquake.” Bull. Seismological Soc. of Am., 72, 237–258.
25.
Sobczyk, K. (1984). Stochastic wave propagation. Elsevier, Amsterdam, The Netherlands.
26.
Tajimi, H. (1960). “A statistical method of determining the maximum response of a building structure during an earthquake.” Proc., 2nd World Conf. on Earthquake Engrg., Tokyo, Japan, Vol. 2, 781–798.
27.
Vanmarcke, E. H., and Fenton, G. A. (1991). “Conditioned simulation of local fields of earthquake ground motion.” Struct. Safety, 10, 247–264.
28.
Zerva, A. (1991). “Effect of spatial variability and propagation of seismic ground motions on the response of multiply supported structures.” Probabilistic Engrg. Mech., 6, 212–221.
29.
Zerva, A., and Shinozuka, M. (1991). “Stochastic differential ground motion.” Struct. Safety, 10, 129–143.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 12 • December 1993
Pages: 2449 - 2460
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Nov 19, 1992
Published online: Dec 1, 1993
Published in print: Dec 1993
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