TECHNICAL PAPERS
Jan 1, 1997

Fully Nonstationary Analytical Earthquake Ground-Motion Model

Publication: Journal of Engineering Mechanics
Volume 123, Issue 1

Abstract

A versatile, nonstationary stochastic ground-motion model accounting for the time variation of both intensity and frequency content typical of real earthquake ground motions is formulated and validated. An extension of the Thomson's spectrum estimation method is used to adaptively estimate the evolutionary power spectral density (PSD) function of the target ground acceleration record. The parameters of this continuous-time, analytical, stochastic earthquake model are determined by least-square fitting the analytical evolutionary PSD function of the model to the target evolutionary PSD function estimated. As application examples, the proposed model is applied to two actual earthquake records. In each case, model validation is obtained by comparing the second-order statistics of several traditional ground-motion parameters and the probabilistic linear-elastic response spectra simulated using the earthquake model with their deterministic counterparts characterizing the target record.

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References

1.
Ahmadi, G.(1979). “Generation of artificial time-histories compatible with given response spectra—a review.”SM Archives, 4(3), 207–239.
2.
Amin, M., and Ang, A. H.-S.(1968). “Nonstationary stochastic model of earthquake motions.”J. Engrg. Mech. Div., ASCE, 94(2), 559–583.
3.
Battaglia, F. (1979). “Some extensions in the evolutionary spectral analysis of a stochastic process.”Bolletino della Unione Matematica Italiana, 16B(5), 1154–1166.
4.
Beck, J. L., and Dowling, M. J.(1988). “Quick algorithms for computing either displacement, velocity or acceleration of an oscillator.”Earthquake Engrg. and Struct. Dyn., 16(2), 245–253.
5.
Bogdanoff, J. L., Goldberg, J. E., and Bernard, M. C.(1961). “Response of a simple structure to a random earthquake-type disturbance.”Bull. Seismological Soc. of Am., 51(2), 293–310.
6.
Bycroft, G. N.(1960). “White noise representation of earthquakes.”J. Engrg. Mech. Div., ASCE, 86(2), 1–16.
7.
Conte, J. P. (1992). “Effects of earthquake frequency nonstationarity on inelastic structural response.”Proc., 10th World Conf. on Earthquake Engrg., A. A. Balkema, Rotterdam, The Netherlands.
8.
Conte, J. P., and Peng, B.-F.(1996). “An explicit closed-form solution for linear systems subjected to nonstationary random excitation.”Probabilistic Engrg. Mech., 11(1), 37–50.
9.
Conte, J. P., Pister, K. S., and Mahin, S. A.(1992). “Nonstationary ARMA modeling of seismic motions.”J. Soil Dyn. and Earthquake Engrg., 11(7), 411–426.
10.
Dennis, J. E., Gay, D. M., and Welsch, R. E.(1981). “An adaptive nonlinear least-squares algorithm.”ACM Trans. on Math. Software, 7(3), 348–368.
11.
Deodatis, G., Shinozuka, M., and Papageorgiou, A.(1990). “Stochastic wave representation of seismic ground motion. II: Simulation.”J. Engrg. Mech., ASCE, 116(11), 2381–2399.
12.
Der Kiureghian, A., and Crempien, J. (1989). “An evolutionary model for earthquake ground motion.”Struct. Safety, 6(2–4), 235–246.
13.
Drosopoulos, A., and Haykin, S. (1992). “Adaptive radar parameter estimation with Thomson's multiple-window method.”Adaptive radar detection and estimation, S. Haykin and A. Steinhardt, eds., John Wiley & Sons, Inc., New York, N.Y., 381–461.
14.
Fan, F.-G., and Ahmadi, G.(1990). “Nonstationary Kanai-Tajimi models for El Centro 1940 and Mexico City 1985 Earthquakes.”Probabilistic Engrg. Mech., 5(4), 171–181.
15.
Faravelli, L. (1988). “Stochastic modeling of the seismic excitation for structural dynamics purposes.”Probabilistic Engrg. Mech., 3(4), 189–195.
16.
Flammer, C. (1957). Spheroidal wave functions. Stanford University Press, Stanford, Calif.
17.
Grigoriu, M., Ruiz, S. E., and Rosenblueth, E.(1988). “The Mexico Earthquake of September 19, 1985—nonstationary models of seismic ground acceleration.”Earthquake Spectra, 4(3), 551–568.
18.
Housner, G. W.(1947). “Characteristics of strong-motion earthquakes.”Bull. Seismological Soc. of Am., 37(1), 19–31.
19.
Housner, G. W., and Jennings, P. C.(1964). “Generation of artificial earthquakes.”J. Engrg. Mech. Div., ASCE, 90(1), 113–150.
20.
Iyengar, R. N., and Iyengar, K. T. S. R.(1969). “A nonstationary random process model for earthquake accelerograms.”Bull. Seismological Soc. of Am., 59(3), 1163–1188.
21.
Kameda, H.(1975). “Evolutionary spectra of seismogram by multifilter.”J. Engrg. Mech. Div., ASCE, 101(6), 787–801.
22.
Kanai, K.(1957). “Semi-empirical formula for the seismic characteristics of the ground.”Univ. Tokyo Bull. Earthquake Res. Inst., Tokyo, Japan, 35, 309–325.
23.
Kozin, F.(1988). “Autoregressive moving average models of earthquake records.”Probabilistic Engrg. Mech., 3(2), 58–63.
24.
Kubo, T., and Penzien, J.(1979). “Simulation of three-dimensional strong ground motions along principal axes, San Fernando Earthquake.”Earthquake Engrg. and Struct. Dyn., 7, 279–294.
25.
Levy, R., Kozin, F., and Moorman, R. B. B.(1971). “Random processes for earthquake simulation.”J. Engrg. Mech. Div., ASCE, 97(2), 495–517.
26.
Lin, Y. K., and Yong, Y.(1987). “Evolutionary Kanai-Tajimi earthquake models.”J. Engrg. Mech., ASCE, 113(8), 1119–1137.
27.
Liu, S. C. (1970). “Synthesis of stochastic representations of ground motions.”The Bell Sys. Tech. J., 521–541.
28.
Liu, S. C., and Jhaveri, D. P.(1969). “Spectral simulation and earthquake site properties.”J. Engrg. Mech. Div., ASCE, 95(5), 1145–1168.
29.
Papadimitriou, C. (1990). “Stochastic characterization of strong ground motion and applications to structural response.”Rep. No. EERL 90-03, California Inst. of Technol., Pasadena, Calif.
30.
Priestley, M. B. (1987). Spectral analysis and time series. Academic Press, New York, N.Y.
31.
Saragoni, G. R., and Hart, G. C. (1972). “Nonstationary analysis and simulation of earthquake ground motions.”Rep. No. UCLA-ENG-7238, Earthquake Engrg. and Struct. Lab., Univ. of California, Los Angeles, Calif.
32.
Scherer, R. J., Riera, J. D., and Schueller, G. I.(1982). “Estimation of the time-dependent frequency content of earthquake accelerations.”Nuclear Engrg. and Des., 71(3), 301–310.
33.
Shinozuka, M., and Deodatis, G.(1988). “Stochastic process models for earthquake ground motion.”Probabilistic Engrg. Mech., 3(3), 114–123.
34.
Shinozuka, M., and Jan, C. M.(1972). “Digital simulation of random processes and its applications.”J. Sound and Vibration, 25(1), 111–128.
35.
Shinozuka, M., and Sato, Y.(1967). “Simulation of nonstationary random processes.”J. Engrg. Mech. Div., ASCE, 93(1), 11–40.
36.
Slepian, D.(1978). “Prolate spheroidal wave functions, Fourier analysis, and uncertainty—V: the discrete case.”The Bell Sys. Tech. J., 57(5), 1371–1430.
37.
Spanos, P., Roesset, J., and Donley, M. (1987). “Evolutionary power spectrum estimation of September 19, 1995 Mexico Earthquake accelerograms.”Stochastic Approaches in Earthquake Engrg., Proc., U.S.-Japan Joint Seminar, Y. K. Lin and R. Minai, eds., Springer-Verlag, New York, N.Y.
38.
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., Vol. II, 781–798.
39.
Thomson, D. J.(1982). “Spectrum estimation and harmonic analysis.”Proc., IEEE, 70(9), 1055–1096.
40.
Yeh, C.-H., and Wen, Y. K. (1990). “Modeling of nonstationary ground motion and analysis of inelastic structural response.”Struct. Safety, 8(1–4), 281–298.
41.
Zhang, R., Yong, Y., and Lin, Y. K.(1991). “Earthquake ground motion modeling. II: Stochastic line source.”J. Engrg. Mech., ASCE, 117(9), 2133–2148.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 123Issue 1January 1997
Pages: 15 - 24

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Published online: Jan 1, 1997
Published in print: Jan 1997

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J. P. Conte
Assoc. Prof., Dept. of Civ. Engrg., Rice Univ., P.O. Box 1892, Houston, TX 77251.
B. F. Peng
Grad. Student, Dept. of Civ. Engrg., Rice Univ., P.O. Box 1892, Houston, TX.

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