Earthquake Ground Motion Modeling. II: Stochastic Line Source
Publication: Journal of Engineering Mechanics
Volume 117, Issue 9
Abstract
The pulse shape function obtained in a companion paper is incorporated in the development of a stochastic earthquake model. It is assumed that seismic ground motion is caused by shear dislocation that propagates along a line. This line source is further discretized into point sources at equal intervals. The times at which seismic signals are activated are assumed to be Poisson events with a time‐varying average occurrence rate per unit time. This is equivalent to assuming an average speed for the propagation of shear dislocation. The strengths of seismic signals emitted from discretized point sources are assumed to be independent and identically distributed random variables. A generalized version of the random‐pulse‐train theory is used to compute the mean and auto‐correlation functions of the ground motion at one site, and the cross‐correlation function at two sites. The auto‐correlation and cross‐correlation functions can then be converted to the evolutionary spectral density and evolutionary cross‐spectral density of the ground motion, which are required in the computation of structural response. The new earthquake model is capable of capturing both the geophysical and stochastic features of many past earthquake records.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 9 • September 1991
Pages: 2133 - 2148
Copyright
Copyright © 1991 ASCE.
History
Published online: Sep 1, 1991
Published in print: Sep 1991
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