Wave-Propagation Formulation of Seismic Response of Multistory Buildings
Publication: Journal of Structural Engineering
Volume 125, Issue 4
Abstract
This paper presents a discrete-time wave-propagation method to calculate the seismic response of multistory buildings, founded on layered soil media and subjected to vertically propagating shear waves. Buildings are modeled as an extension of the layered soil media by considering each story as another layer in the wave-propagation path. The seismic response is expressed in terms of wave travel times between the layers and wave reflection and transmission coefficients at layer interfaces. The method accounts for the filtering effects of the concentrated foundation and floor masses. Compared with commonly used vibration formulation, the wave-propagation formulation provides several advantages, including simplicity, improved accuracy, better representation of damping, the ability to incorporate the soil layers under the foundation, and providing better tools for identification and damage detection from seismic records. Examples are presented to show the versatility and the superiority of the method.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Aki, K., and Richards, P. G. ( 1980). Quantitative seismology: Theory and methods, Vol. I, W. H. Freeman and Co., San Francisco.
2.
Aydoan, M., and Uzgider, E. ( 1988). “A numerical method for the earthquake response of brick masonry structures.” Bull., Technical University of Istanbul, Istanbul, Turkey, 41(3), 415–431.
3.
Cadzow, A. J. ( 1973). Discrete-time systems . Prentice-Hall, Englewood Cliffs, N.J.
4.
Cai, G. Q., and Lin, Y. K. ( 1991a). “Localization of wave propagation in disordered periodic structures.” AIAA J., 29(3), 450–456.
5.
Cai, G. Q., and Lin, Y. K. (1991b). “Wave propagation and scattering in structural networks.”J. Engrg., Mech., ASCE, 117(7), 1555–1574.
6.
Claerbout, J. F. ( 1976). Fundamentals of geophysical data processing: With applications to petroleum prospecting . McGraw-Hills, New York.
7.
Clough, R. W., and Penzien, J. ( 1975). Dynamics of structures . McGraw-Hill, New York.
8.
Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. ( 1996). “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review.” Rep. No. LA-13070-MS, Los Alamos National Laboratory, Los Alamos, N.M.
9.
Doyle, J. F. ( 1989). Wave propagation in structures: An FFT-based spectral analysis methodology . Springer, New York.
10.
Ewing, W. M., Jardetzky, W. S., and Press, F. ( 1957). Elastic waves in layered media . McGraw-Hill, New York.
11.
Hall, J., Heaton, T. H., Haling, M. W., and Wald, D. J. ( 1995). “Near-source ground motion and its effects on flexible buildings.” Earthquake Spectra, 11(4), 569.
12.
Iwan, W. D. (1997). “Drift spectrum: Measure of demand for earthquake ground motions.”J. Struct. Engrg., ASCE, 123(4), 397–404.
13.
Kjartansson, E. ( 1979). “Constant Q-wave propagation and attenuation.” J. Geophys. Res., 84(B9), 4737–4748.
14.
Knopoff, L. ( 1964). “Q.” Rev. of Geophysics, 2, 625–660.
15.
Robinson, E. A., and Treitel, S. ( 1980). Geophysical signal analysis, Prentice-Hall, Englewood Cliffs, N.J.
16.
Şafak, E. (1995). “Discrete-time analysis of seismic site amplification.”J. Engrg. Mech., ASCE, 121(7), 801–809.
17.
Şafak, E. ( 1997). “Propagation of seismic waves in tall buildings.” Proc., 4th Conf. on Tall Build. in Seismic Regions, Los Angeles Tall Buildings and Structural Design Council, Los Angeles, Calif., 139–153.
18.
Şafak, E. ( 1998a). “New approach to identification and damage detection in multi-story buildings subjected to seismic loads.” Proc., Struct. Engrs. World Congr., ASCE, Reston, Va. (in CD Rom).
19.
Şafak, E. ( 1998b). “Seismic energy flux in multi-story buildings.” Proc., Struct. Engrs. World Congr., Reston, Va. (in CD Rom).
20.
Signal processing toolbox for MATLAB, version 4.0.1 . (1997a). Mathworks Inc., Natick, Mass.
21.
SIMULINK, version 2.1 (1997b). Mathworks Inc., Natick, Mass.
22.
Thomson, W. T. ( 1972). Theory of vibration with applications . Prentice-Hall, Englewood Cliffs, N.J.
23.
Todorovska, M. I., and Lee, V. W. (1989). “Seismic waves in buildings with shear walls or central core.”J. Engrg. Mech., ASCE, 115(12), 2669–2686.
24.
Todorovska, M. I., Lee, V. W., and Trifunac, M. D. ( 1988). “Investigation of earthquake response of long buildings.” Rep. No. 88-02, Dept. of Civ. Engrg., University of Southern California, Calif.
25.
Todorovska, M. I., and Trifunac, M. D. (1989). “Antiplane earthquake waves in long structures.”J. Engrg. Mech., ASCE, 115(12), 2687–2708.
26.
Uzgider, E., and Aydoan, M. ( 1986). “Simple and efficient method for the dynamic response of 2D frames subject to ground motions.” Proc., 8th Eur. Conf. on Earthquake Engrg., Vol. 3, Laboratorio Nacional de Engenharia Civil, Lisboa, Portugal, 6.2/17.
27.
Yong, Y., and Lin, Y. K. ( 1992). “Dynamic response analysis of truss-type structural networks: A wave propagation approach.” J. Sound and Vibration, 156(1), 27–35.
Information & Authors
Information
Published In
History
Received: Nov 17, 1997
Published online: Apr 1, 1999
Published in print: Apr 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.