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Stochastic Wave Models for Seismic Ground Motion

by Masanobu Shinozuka, Sollenberger Professor of Civil, Engineering,
George Deodatis, Sollenberger Professor of Civil, Engineering,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

In order to describe the nature of ground motion arising from a propagating seismic wave, a stochastic wave model has been developed here and an efficient technique for digitally generating samples of such a stochastic wave is introduced as an extension of the spectral representation method. Analytic expressions of the frequency-wave number spectra at the surface of the ground arising from seismic sources in a half-space are calculated since they are needed for the digital generation. The model used to obtain these analytic expressions considers the propagation of three-dimensional waves in an elastic half-space that are generated at the seismic source and their subsequent reflection at the ground surface.

Subject Headings: Seismic waves | Wave propagation | Wave spectrum | Wave generation | Ground motion | Seismic tests | Stochastic processes

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