Abstract
When an earthquake happens, the seismic wave produced by the seismic source is a time-dependent process. Through the propagation in the earth media, the wave shape will undergo complex changes. For a given site, the ground motion can be characterized by the time history of ground motion displacements, velocities or accelerations. Due to the influence of a series of uncontrollable factors like the mechanism of the seismic source, the earthquake propagation paths and the geotechnical media distribution in the engineering site, the ground motion is a typical stochastic process and varies in the spatial location. Therefore, the spatial random field model should be adopted as the basic model to represent the seismic ground motion. However, due to the difficulties in modeling, some simplifications may be introduced in the modeling process.
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References
Aki K, Richards P G. (1980). Quantitative seismology theory and methods. San Francisco: W. H. Freeman and Company.
Amin, M., & Ang, A. H. S. (1968). Nonstationary stochastic model of earthquake motion. Engineering Mechanics Division, ASCE, 94(EM2), 559–584.
Brune, J. N. (1970). Tectonic stress and the spectra of seismic shear waves from earthquakes. Journal of Geophysical Research, 75(26), 4997–5009.
Burg, J. P. (1967), Maximum entropy spectral analysis, presented at the 37th Meeting of the Society of Exploration Geophysicists; reprinted in D. G. Childers, ed. (1978), Modern Spectrum Analysis, IEEE Press, pp. 34–41.
Clough, R. W., & Penzien, J. (1993). Dynamics of structures. New York: McGraw Hill.
Feng, Q. M., & Hu, Y. X. (1981). Spatial correlation model of ground motion. Earthquake Engineering and Engineering Vibration, 1(2), 1–8.
Hu, Y. X., Zhou, X. Y. (1962). A review on statistical theory for seismic forces. Collected Research Report on. Earthquake Engineering, pp. 21–32.
Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., Shih, H. H., & Zheng, Q., et al. (1998). The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454, 903–995.
Jennings P. C., Housner G. W., & Tsai N. C. (1968). Simulated earthquake motions. Report of Earthquake Engineering Research Laboratory, California Institute of Technology.
Kanai, K. (1957). Semi-empirical formula for the seismic characteristics of the ground. Bulletin of the Earthquake Research Institute, 35, 309–325.
Li, J., & Ai, X. Q. (2006). Study on random model of earthquake ground motion based on physical price. Earthquake Engineering and Engineering Vibration, 26(5), 21–26. (in Chinese).
Liao, Z. P. (2002), Introduction to Wave Motion Theories in Engineering. Beijing: Science Press (in Chinese).
Loh, C. H., & Yeh, Y. T. (1988). Spatial variation and stochastic modelling of seismic differential ground movement. Earthquake Engineering Structural Dynamics, 16(4), 583–596.
Loh, C. H., & Lin, S. G. (1990). Directionality and simulation in spatial variation of seismic waves. Engineering Structures, 12: 134–143.
Oliveira, C. S., Hao, H., Penzien, J. (1991). Ground motion modeling for multiple-input structural analysis. Structural Safety, 10(1–3): 79–93.
Qu, T. J., Wang, J. J., & Wang, Q. X. (1996). A practical model of spatial variation of ground motion power spectrum. Acta Seismologica Sinica, 18(1), 55–62.
Ruiz, P., & Penzien, J. (1969). Artificial generation of earthquake accelerograms. Berkeley: Report of University of California.
Tajimi, H. (1960). A statistical method of determining the maximum response of a building structure during an earthquake. Proc 2nd WCEE. Tokyo, II, 781–798.
Vanmarcke, E. (1983). Random Fields. Cambridge Ma Mit Press.
Wang, D., & Li, J. (2011). Physical random function model of ground motions for engineering purposes. Science China: Technological Sciences, 54(1), 175–182.
Wang, D., & Li, J. (2012). A random physical model of seismic ground motion field on local engineering site. Science China: Technological Sciences, 55(7), 2057–2065.
Wong, H. L., & Trifunac, M. D. (1979). Generation of artificial strong motion accelerograms. Earthquake Engineering and Structural Dynamics, 7(6), 509–527.
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Li, J., Liu, W. (2021). Seismic Ground Motion Model. In: Lifeline Engineering Systems. Springer, Singapore. https://doi.org/10.1007/978-981-15-9101-3_3
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DOI: https://doi.org/10.1007/978-981-15-9101-3_3
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