Summary
An earthquake model is developed, in which the earth is idealized as horizontally stratified layers and the seismic source as propagating dislocation along a line. The line source is further discretized into point sources at equal intervals, and the times at which seismic signals are emitted from the source points are assumed to be Poisson events. The strengths of individual sources are assumed to be independent and identically distributed random variables. A generalized version of the random-pulse-train theory is then used to compute the mean and covariance functions of the ground motion at one site, and the cross-covariance function at two sites. The covariance and cross-covariance functions are converted to the evolutionary spectral density and cross-evolutionary density of the ground motion, which are useful in the computation of the statistics of structural response to earthquake excitations.. Numerical examples are given for illustration.
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Zhang, R., Yong, Y., Lin, Y.K. (1991). Stochastic Earthquake Modeling with Discretized Line Source. In: Lin, Y.K., Elishakoff, I. (eds) Stochastic Structural Dynamics 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84531-4_15
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DOI: https://doi.org/10.1007/978-3-642-84531-4_15
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