Transform methods for frequency-dependent complex stiffness to time domain using real or imaginary data only

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 acc...

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Veröffentlicht in:Earthquake engineering & structural dynamics 2008-04, Vol.37 (4), p.495-515
1. Verfasser: Nakamura, Naohiro
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description 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.
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subjects causality
Earth sciences
Earth, ocean, space
Earthquakes, seismology
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Hilbert transform
hysteretic damping
Internal geophysics
the Biot model
title Transform methods for frequency-dependent complex stiffness to time domain using real or imaginary data only
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