A stochastic ground motion model with separable temporal and spectral nonstationarities

Earthquake Engineering and Structural Dynamics

Volumn 37, Issue 13, 2008, Pages 1565-1584

  Rezaeian, Sanaz ^a   Der Kiureghian, Armen ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Department of Civil Engineering ^*

Author keywords

Accelerograms; Earthquake ground motion; Nonstationary process; Response spectra; Simulation; Stochastic models

Indexed keywords

EARTHQUAKES; FREQUENCY RESPONSE; MATHEMATICAL MODELS; MODEL STRUCTURES; PARAMETER ESTIMATION; SEISMOLOGY; STOCHASTIC CONTROL SYSTEMS; SYSTEMS ANALYSIS;

ACCELEROGRAMS; EARTHQUAKE GROUND MOTION; NONSTATIONARY PROCESS; RESPONSE SPECTRA; SIMULATION;

STOCHASTIC MODELS;

DISPLACEMENT; EARTHQUAKE INTENSITY; ESTIMATION METHOD; GROUND MOTION; NUMERICAL MODEL; PARAMETERIZATION; RESPONSE ANALYSIS; STOCHASTICITY; STRONG MOTION;

EID: 57749183635     PISSN: 00988847     EISSN: 10969845     Source Type: Journal    
DOI: 10.1002/eqe.831     Document Type: Article

References (33)

1. Bozorgnia Y, Bertero VV. Earthquake Engineering: From Engineering Seismology to Performance-based Engineering. CRC Press: Boca Raton, FL, 2004.
2. Vamvatsikos D, Cornell CA. Incremental dynamic analysis. Earthquake Engineering and Structural Dynamics 2002; 31:491-514.
3. Zerva A. Seismic source mechanisms and ground motion models, review paper. Probabilistic Engineering Mechanics 1988; 3:64-74.
4. Papadimitriou K. Stochastic characterization of strong ground motion and application to structural response. Report No. EERL 90-03, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, CA, 1990.
5. Liu SC. Synthesis of stochastic representations of ground motions. The Bell Systems Technical Journal 1970; 49:521-541.
6. Ahmadi G. Generation of artificial time-histories compatible with given response spectra - a review. Solid Mechanics Archives 1979; 4:207-239.
7. Shinozuka M, Deodatis G. Stochastic process models for earthquake ground motion. Probabilistic Engineering Mechanics 1988; 3:114-123.
8. Kozin F. Autoregressive moving average models of earthquake records. Probabilistic Engineering Mechanics 1988; 3:58-63.
9. Conte JP, Peng BF. Fully nonstationary analytical earthquake ground-motion model. Journal of Engineering Mechanics (ASCE) 1997; 12:15-24.
10. Bolotin VV. Statistical theory of the aseismic design of structures. Proceedings of the 2nd World Conference on Earthquake Engineering, vol. II, Tokyo and Kyoto, Japan, 1960; 1365-1374.
11. Shinozuka M, Sato Y. Simulation of nonstationary random process. Journal of Engineering Mechanics (ASCE) 1967; 93:11-40.
12. Amin M, Ang AHS. Nonstationary stochastic model of earthquake motions. Journal of Engineering Mechanics Division (ASCE) 1968; 94:559-583.
13. Iyengar RN, Iyengar KTS. A nonstationary random process model for earthquake accelerograms. Bulletin of the Seismological Society of America 1969; 59:1163-1188.
14. Ruiz P, Penzien J. Stochastic seismic response of structures. Journal of Engineering Mechanics (ASCE) 1971; 97:441-456.
15. Cornell CA. Stochastic process models in structural engineering. Technical Report No. 34, Department of Civil Engineering, Stanford University, Stanford, CA, 1960.
16. Lin YK. Nonstationary excitation and response in linear systems treated as sequences of random pulses. Journal of the Acoustical Society of America 1965; 38:453-460.
17. Lin YK. On random pulse train and its evolutionary spectral representation. Probabilistic Engineering Mechanics 1986; 1:219-223.
18. Jurkevics A, Ulrych TJ. Representing and simulating strong ground motion. Bulletin of the Seismological Society of America 1978; 68:781-801.
19. Hoshiya M, Hasgur Z. AR and MA models of nonstationary ground motion. Bulletin of the International Institute of Seismology and Earthquake Engineering 1978; 16:55-68.
20. Polhemus NW, Cakmak AS. Simulation of earthquake ground motions using autoregressive moving average (ARMA) models. Earthquake Engineering and Structural Dynamics 1981; 9:343-354.
21. Chang MK, Kwiatkowski JW, Nau RF, Oliver RM, Pister KS. ARMA models for earthquake ground motions. Earthquake Engineering and Structural Dynamics 1982; 10:651-662.
22. Conte JP, Pister KS, Mahin SA. Nonstationary ARMA modeling of seismic motions. Soil Dynamics and Earthquake Engineering 1992; 11:411-426.
23. Mobarakeh AA, Rofooei FR, Ahmadi G. Simulation of earthquake records using time-varying ARMA (2,1) model. Probabilistic Engineering Mechanics 2002; 17:15-34.
24. Saragoni GR, Hart GC. Simulation of artificial earthquakes. Earthquake Engineering and Structural Dynamics 1974; 2:249-267.
25. Der Kiureghian A, Crempien J. An evolutionary model for earthquake ground motion. Structural Safety 1989; 6:235-246.
26. Wen YK, Gu P. Description and simulation of nonstationary processes based on Hilbert spectra. Journal of Engineering Mechanics (ASCE) 2004; 130:942-951.
27. Yeh CH, Wen YK. Modeling of nonstationary ground motion and analysis of inelastic structural response. Structural Safety 1990; 8:281-298.
28. Fujimura K, Der Kiureghian A. Tail-equivalent linearization method for nonlinear random vibration. Probabilistic Engineering Mechanics 2007; 22:63-76.
29. Brune JN. Tectonic stress and the spectra of seismic shear waves from earthquakes. Journal of Geophysical Research 1970; 75:4997-5009.
30. Der Kiureghian A. The geometry of random vibrations and solutions by FORM and SORM. Probabilistic Engineering Mechanics 2000; 15:81-90.
31. Lutes LD, Sarkani S. Random Vibrations: Analysis of Structural and Mechanical Systems. Elsevier Butterworth-Heinemann: Burlington, MA, 2004.
32. Housner GW, Jennings PC. Generation of artificial earthquakes. Journal of Engineering Mechanics Division (ASCE) 1964; 90:113-150.
33. Brune JN. Correction. Journal of Geophysical Research 1971; 76:5002.