Research Article
Aug 1971
Earthquake Interaction by Fast Fourier Transform
Authors: Shih-Chi Liu, AM.ASCE, and Lawrence W. FagelAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 4
Abstract
A simple approach using a Fast Fourier Transform (FFT) algorithm for obtaining the transient structural response to earthquakes is presented. Two different foundation models are used, a rigid circular plate and a rigid two-dimensional strip bonded to the elastic soil half space. A numerical procedure is used to obtain all pertinent transfer functions which are subsequently used in conjunction with FFT subroutines to obtain the response time histories. It is shown that over a range of scaled wave numbers which characterize the soil properties, significant base rocking can be expected only when either the slenderness parameter or the mass-ratio parameter is small. The specific advantages of the new approach are: (1) it is computational efficient; (2) it can take into account the frequency-dependent interaction forces; and (3) it is general, readily adaptable in practical applications, and can be used with any linear structure or interaction model.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 4 • August 1971
Pages: 1223 - 1237
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Aug 1971
Published online: Feb 3, 2021
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Shih-Chi Liu, AM.ASCE
Member, Technical Staff, Bell Telephone Laboratories, Whippany, N.J.
Lawrence W. Fagel
Member, Technical Staff, Bell Telephone Laboratories, Whippany, N.J.
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