Stochastic Wave Representation of Seismic Ground Motion. I: F‐K Spectra
Publication: Journal of Engineering Mechanics
Volume 116, Issue 11
Abstract
The spatial variation of seismic ground motion is an important consideration for the seismic design of elongated structures supported on extended foundations or on multiple supports. The temporal and spatial variability of seismic ground motion is effectively described by the frequency‐wave number spectra, which provide information concerning the corresponding correlational characteristics of earthquake motions. Until now, the frequency‐wave number spectra have only been inferred experimentally, for specific seismic events, using data from seismograph arrays. In this work, closed‐form analytic expressions of the frequency‐wave number spectra are established. The corresponding seismic ground motion is produced by a seismic source located in an elastic half‐space and characterized by a double couple. The model used considers the propagation of three‐dimensional waves in an elastic half‐space that are generated at a seismic source and their eventual reflection at the ground surface. Analytic expressions for the frequency‐wave number spectra are then derived for the three displacement components (two horizontal ones and one vertical) at the ground surface.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 11 • November 1990
Pages: 2363 - 2379
Copyright
Copyright © 1990 ASCE.
History
Published online: Nov 1, 1990
Published in print: Nov 1990
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