Non-stationary stochastic vector processes: Seismic ground motion applications

Probabilistic Engineering Mechanics

Volumn 11, Issue 3, 1996, Pages 149-167

  Deodatis, George ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EARTHQUAKES; MECHANICS; MONTE CARLO METHODS; PROBABILITY; SEISMOLOGY; STATISTICAL METHODS;

SAMPLE FUNCTION GENERATION; SPECTRAL REPRESENTATION;

RANDOM PROCESSES;

EID: 0030193117     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/0266-8920(96)00007-0     Document Type: Article

References (42)

1. Elishakoff, I., Probabilistic Methods in the Theory of Structures, John Wiley, New York, 1983.
2. Kozin, F., Auto-regressive moving-average models of earthquake records. J. Probabilistic Engng Mech., 3 (1988) 58-63.
3. Soong, T. T. & Grigoriu, M., Random Vibration of Mechanical and Structural Systems, Prentice-Hall, Hemel Hempstead, 1993.
4. Grigoriu, M., Applied Non-Gaussian Processes, Prentice-Hall, Hemel Hempstead, 1995.
5. Deodatis, G., Simulation of stochastic processes and fields to model loading and material uncertainties, Probabilistic Methods for Structural Design, ed. Carlos Guedes Soares. Kluwer Academic, Dordrecht, 1996.
6. Rice, S. O., Mathematical analysis of random noise, Selected Papers on Noise and Stochastic Processes, ed. Nelson Wax, Dover, New York, 1954, pp. 133-294. (paper originally appeared in two parts in the Bell System Technical Journal 23, July 1944 and 24, January 1945).
7. Rice, S. O., Mathematical analysis of random noise, Selected Papers on Noise and Stochastic Processes, ed. Nelson Wax, Dover, New York, 1954, pp. 133-294. (paper originally appeared in two parts in the Bell System Technical Journal 23, July 1944 and 24, January 1945).
8. Shinozuka, M. & Jan, C.-M., Digital simulation of random processes and its applications. J. Sound and Vibration, 25 (1972) 111-28.
9. Shinozuka, M., Monte Carlo solution of structural dynamics. Computers and Structures, 2 (1972) 855-74.
10. Yang, J.-N., Simulation of random envelope processes. J. Sound and Vibration, 25 (1972) 73-85.
11. Yang, J.-N., On the normality and accuracy of simulated random processes. J. Sound and Vibration, 26 (1973) 417-28.
12. Shinozuka, M., Digital simulation of random processes in engineering mechanics with the aid of FFT technique, Stochastic Problems in Mechanics, eds S. T. Ariaratnam and H. H. E. Leipholz, University of Waterloo Press, Waterloo, 1974, pp. 277-86.
13. Deodatis, G. & Shinozuka, M., Simulation of seismic ground motion using stochastic waves. J. Engng Mech., ASCE, 115 (1989) 2723-37.
14. Yamazaki, F. & Shinozuka, M., Digital generation of non-Gaussian stochastic fields. J. Engng Mech., ASCE, 114 (1988) 1183-97.
15. Grigoriu, M., On the spectral representation method in simulation. J. Probabilistic Engng Mech., 8 (1993) 75-90.
16. Shinozuka, M., Stochastic fields and their digital simulation, Stochastic Methods in Structural Dynamics, eds G. I. Schuëller and M. Shinozuka, Martinus Nijhoff Publishers, Dordrecht, 1987, pp. 93-133.
17. Shinozuka, M. & Deodatis, G., Stochastic process models for earthquake ground motion. J. Probabilistic Engng Mech., 3 (1988) 114-23.
18. Shinozuka, M. & Deodatis, G., Simulation of stochastic processes by spectral representation. Appl. Mech. Rev., ASME, 44 (1991) 191-204.
19. Shinozuka, M. & Deodatis, G., Simulation of multi-dimensional Gaussian stochastic fields by spectral representation. Appl. Mech. Rev., ASME, 49 (1996) 29-53.
20. Gersch, W. & Yonemoto, J., Synthesis of multi-variate random vibration systems: a two-stage least squares ARMA model approach. J. Sound and Vibration, 52 (1977) 553-65.
21. Mignolet, M. P. & Spanos, P.-T. D., Recursive simulation of stationary multi-variate random processes. Part I. J. Appl. Mech., 54 (1987) 674-80.
22. Mignolet, M. P. & Spanos, P.-T. D., Recursive simulation of stationary multi-variate random processes. Part II. J. Appl. Mech., 54 (1987) 681-7.
23. Li, Y. & Kareem, A., Simulation of multivariate nonstationary random processes by FFT. J. Engng Mech., ASME, 117 (1991) 1037-58.
24. Li, Y. & Kareem, A., Simulation of multi-variate random processes: hybrid DFT and digital filtering approach. J. Engng Mech., ASCE, 119 (1993) 1078-98.
25. Ramadan, O. & Novak, M., Simulation of spatially incoherent random ground motions. J. Engng Mech., ASCE, 119 (1993) 997-1016.
26. Deodatis, G., Simulation of ergodic multi-variate stochastic processes. J. Engng Mech., ASCE, 122 (1996).
27. Gurley, K. & Kareem, A., On the analysis and simulation of random processes utilizing higher order spectra and wavelet transforms. Proc. Second International Conf. on Computational Stochastic Mechanics, Athens, Greece, 1995, Balkema, pp. 315-24.
28. Spanos, P.-T. D. & Zeldin, B., Random field simulation using wavelet bases. Proc. ICASP-7 Conf. Paris, France, 10-13 July 1995, pp. 1275-83.
29. Priestley, M. B., Evolutionary spectra and non-stationary processes. J. Royal Statistical Society, Series B, 27 (1965) 204-37.
30. Priestley, M. B., Non-linear and Non-stationary Time Series Analysis, Academic Press, New York, 1988.
31. Gasparini, D. & Vanmarcke, E. H., Simulated earthquake motions compatible with prescribed response spectra. Technical Report, Department of Civil Engineering, Massachusetts Institute of Technology, Publication No. R76-4, 1976.
32. Hao, H., Oliveira, C. S. & Penzien, J., Multiple-station ground motion processing and simulation based on SMART-1 array data. Nuclear Engng and Design, 111 (1989) 293-310.
33. Abrahamson, N. A., Spatial variation of multiple support inputs. Proc. 1st U.S. Seminar on Seismic Evaluation and Retrofit of Steel Bridges, University of California at Berkeley, San Francisco, 18 October, 1993.
34. Clough, R. W. & Penzien, J., Dynamics of Structures, McGraw-Hill, New York, 1975.
35. Bogdanoff, J. L., Goldberg, J. E. & Bernard, M. C., Response of a simple structure to a random earthquake-type disturbance. Bulletin of the Seismological Society of America, 51 (1961) 293-310.
36. Harichandran, R. S. & Vanmarcke, E. H., Stochastic variation of earthquake ground motion in space and time. J. Engng Mech., ASCE, 112 (1986) 154-74.
37. Ellingwood, B. R. & Batts, M. E., Characterization of earthquake forces for probability-based design of nuclear structures. Technical Report BNL-NUREG-51587, NUREG/CR-2945, Department of Nuclear Energy, Brookhaven National Laboratory, Prepared for Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1982.
38. Hindy, A. & Novak, M., Pipeline response to random ground motion. J. Engng Mech., ASCE, 106 (1980) 339-60.
39. Harichandran, R. S. & Wang, W., Effect of spatially varying seismic excitation on surface lifelines. Proc. Fourth U.S. National Conf. on Earthquake Engineering, Palm Springs, 20-24 May 1990, pp. 885-94 (Vol. 1).
40. Deodatis, G. & Shinozuka, M., Auto-regressive model for non-stationary stochastic processes. J. Engng Mech., ASCE, 114 (1988) 1995-2012.
41. International Conference of Building Officials, Uniform Building Code. Vol. 2, 1994.
42. Jennings, P. C., Housner, G. W. & Tsai, N. C., Simulated earthquake motions. Technical Report, Earthquake Engineering Research Laboratory, California Institute of Technology, 1968.