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The Fourier transform, response spectra and their relationship through the statistics of oscillator response

Udwadia, F. E. and Trifunac, Mihailo D. (1973) The Fourier transform, response spectra and their relationship through the statistics of oscillator response. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1973.EERL-73-01

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Abstract

The concept of the Damped Fourier Transform (D. F. S.) has been developed through an understanding of the nature of the response of a damped oscillator to input ground accelerations. It has been shown that such a transform serves as a lower bound to the corresponding damped velocity spectrum curves. A review of the statistics of the maxima of a random function has been done and its application to the determination of response spectrum estimates has been studied. Such simple statistical estimates have been found to be very useful in improving our physical understanding of response spectra.


Item Type:Report or Paper (Technical Report)
Additional Information:PB 220 458
Group:Earthquake Engineering Research Laboratory
Record Number:CaltechEERL:1973.EERL-73-01
Persistent URL:http://resolver.caltech.edu/CaltechEERL:1973.EERL-73-01
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26348
Collection:CaltechEERL
Deposited By: Imported from CaltechEERL
Deposited On:24 Sep 2001
Last Modified:26 Dec 2012 13:56

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