Premium
FDE index for goodness‐of‐fit between measured and calculated response signals
Author(s) -
Dragovich Jeff J.,
Lepage Andres
Publication year - 2009
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.951
Subject(s) - fast fourier transform , goodness of fit , fourier transform , waveform , frequency domain , simple (philosophy) , algorithm , mathematics , statistics , computer science , mathematical analysis , telecommunications , radar , philosophy , epistemology
A method is presented for determining the goodness‐of‐fit between measured and calculated structural response signals. The method is termed as the frequency domain error (FDE) index, which is a value between 0 and 1 where zero indicates a perfect correlation. The FDE is calculated from the Fourier spectra of the measured and calculated waveforms, using a relatively simple calculation procedure, readily implemented using standard fast Fourier transform (FFT) libraries. The FDE is demonstrated herein using three different types of problems: simple harmonic waves, a large number of earthquake response simulations, and a set of limited simulations. Along with the FDE concept, effective methods for displaying the results are presented. Copyright © 2009 John Wiley & Sons, Ltd.