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Transform methods for frequency‐dependent complex stiffness to time domain using real or imaginary data only
Author(s) -
Nakamura Naohiro
Publication year - 2008
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.767
Subject(s) - hilbert transform , the imaginary , impulse response , frequency domain , algorithm , impulse (physics) , mathematical analysis , time domain , mathematics , domain (mathematical analysis) , computer science , physics , statistics , spectral density , computer vision , classical mechanics , psychology , psychotherapist
The author has studied the transform method of complex stiffness, which is strongly dependent on frequency, to the time domain. In this paper, new transform methods that use only the real part or the imaginary part data are proposed. By applying them to example problems, it is confirmed that the accuracy of the proposed methods is almost high in both causal and noncausal cases. These methods can also be thought as a standby for the Hilbert transform, because the undefined part is easily calculated by the recovering complex function from the obtained impulse response. Copyright © 2007 John Wiley & Sons, Ltd.