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Damped Fourier spectrum and response spectra

Udwadia, F. E. and Trifunac, M. D. (1973) Damped Fourier spectrum and response spectra. Bulletin of the Seismological Society of America, 63 (5). pp. 1775-1783. ISSN 0037-1106.

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This paper describes the physical relationships that exist between the Fourier transform and the response spectrum of a strong-motion accelerogram. By developing the new concept of the “Damped Fourier Spectrum” (D.F.S.), we show that the velocity and displacement of the damped oscillator can be represented by a linear combination of the real and imaginary parts of the D.F.S. and by the initial conditions. The D.F.S. represents a new way of “smoothing” the classical Fourier Transform by using a physically based filter.

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Additional Information:© 1973 Seismological Society of America. Manuscript received April 16, 1973. We are indebted to Professors G. W. Housner and P. C. Jennings for critically reading the manuscript and offering several valuable suggestions. This research was supported in part by a grant from the National Science Foundation and the Earthquake Research Affiliates program at the California Institute of Technology.
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Caltech Earthquake Research AffiliatesUNSPECIFIED
Issue or Number:5
Record Number:CaltechAUTHORS:20140912-154315944
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49678
Deposited By: Tony Diaz
Deposited On:12 Sep 2014 23:37
Last Modified:03 Oct 2019 07:16

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