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Bulletin of the Seismological Society of America; October 1973; v. 63; no. 5; p. 1775-1783
© 1973 Seismological Society of America
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Damped fourier spectrum and response spectra

F. E. UDWADIA and M. D. TRIFUNAC

EARTHQUAKE ENGINEERING RESEARCH LABORATORY CALIFORNIA INSTITUTE OF TECHNOLOGY, PASADENA, CALIFORNIA 91109

Abstract

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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M. D. TRIFUNAC and A. G. BRADY
A study on the duration of strong earthquake ground motion
Bulletin of the Seismological Society of America, June 1, 1975; 65(3): 581 - 626.
[Abstract] [PDF]




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