A Fast Time–domain Integration Method for Computing Non-Stationary Response Histories of Linear Oscillators With Discrete-Time Random Forcing

Dunne, John F.

doi:10.1006/jsvi.2001.4112

Cited by 3 publications

(2 citation statements)

References 38 publications

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“…In order to avoid the limitation in the frequency resolution using FFT, Cawley and Adams investigated this problem and showed that it was possible to obtain frequency resolution of one-tenth of the spacing between the frequency points produced by the Fourier transform [9]. The other way for increasing frequency resolution of the spectrum and improving frequency estimation is zero-padding technique [10,11].…”

Section: Introductionmentioning

confidence: 99%

Improvement in accuracy of natural frequency determination based on the envelope of cross-correlation function

Kotowski¹

2016

ZN PRz Mechanika

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This paper presents a method of improvement of the accuracy in natural frequency determination when having impulse responses from impact testing. A new method is used for obtaining impulse response spectrum. The improvement in natural frequency determination is a result of improving the spectral resolution. For this, the new method uses calculation of surface area under the envelope of the cross-correlation function. This process is repeated by singleharmonic signal generated step-by-step with frequency changed iteratively. Thus the frequency resolution of determined spectrum is independent of length of analysed impulse response.

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Section: Introductionmentioning

confidence: 99%

Improvement in accuracy of natural frequency determination based on the envelope of cross-correlation function

Kotowski¹

2016

ZN PRz Mechanika

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“…In order to avoid limitation in frequency resolution using FFT, it has been investigated the problem of frequency resolution and showed that it was possible to obtain frequency resolution of one-tenth of the spacing between the frequency points produced by the Fourier transform (Cawley and Adams, 1979). For increasing spectral frequency resolution and improving frequency estimation, the zero-padding technique also is widely used (Quinn, 2009;Dunne, 2002). In general, the interpolation algorithms can be a computing-cost-effective replacement of the zero-padding technique in applications (Gasior, 2006).…”

Section: Introductionmentioning

confidence: 99%

Cross-Correlation-Based Method vs. Classical Fft for Spectral Analysis of Impulse Response

Kotowski

2014

Acta Mechanica Et Automatica

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The paper presents comparison of results of impulse response spectral analysis that has been obtained using a method based on cross-correlation with results obtained using classical FFT. The presented non-Fourier method is achieved by correlating the analyzed signal and reference single-harmonic signals and using Hilbert transform to obtain an envelope of cross-correlation. The envelope of crosscorrelation makes it possible to calculate appropriate indicator and make its plot in frequency domain as a spectrum. The spectrum obtained this way has its advantage over the FFT that the spectral resolution does not depend on duration of signal. At the same time, the spectral resolution can be much greater than spectral resolution resultant from FFT. Obtained results show that presented non-Fourier method gives frequency readout more accurate in comparison to FFT when the impulse response is a short-time signal e.g. few dozen of miliseconds lasting.

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Stationary response and first-passage failure of hysteretic systems under random excitations of Poisson white noise and its filtered processes

Zeng

2012

Procedia Engineering

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A Fast Time–domain Integration Method for Computing Non-Stationary Response Histories of Linear Oscillators With Discrete-Time Random Forcing

Cited by 3 publications

References 38 publications

Improvement in accuracy of natural frequency determination based on the envelope of cross-correlation function

Improvement in accuracy of natural frequency determination based on the envelope of cross-correlation function

Cross-Correlation-Based Method vs. Classical Fft for Spectral Analysis of Impulse Response

Stationary response and first-passage failure of hysteretic systems under random excitations of Poisson white noise and its filtered processes

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