Testing second order cyclostationarity in the squared envelope spectrum of non-white vibration signals

Borghesani, Pietro; Pennacchi, Paolo; Ricci, R.; Chatterton, Steven

doi:10.1016/j.ymssp.2013.05.012

Cited by 71 publications

(38 citation statements)

References 15 publications

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“…As demonstrated in several publications [29,30], the discrete Fourier transform (DFT) of the energy flow -the "squared envelope spectrum" (SES) -thus evidences a spectrum of harmonics equispaced by the fault frequency α 0 , i.e.…”

Section: The Squared Envelope Spectrummentioning

confidence: 97%

“…In brief, the spectral correlation may be seen as a waterfall of envelope spectra for all carrier frequencies of the signal. Its application to the diagnosis of rolling element bearings has been shown to return excellent results in a variety of configurations [24][25][26][27][28][29][30][31]. Unfortunately, the computation of the spectral correlation might still be prohibitive in certain applications, which places it as a second choice behind the kurtogram.…”

Section: Introductionmentioning

confidence: 99%

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The infogram: Entropic evidence of the signature of repetitive transients

Antoni¹

2016

Mechanical Systems and Signal Processing

485

211

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a b s t r a c tA classical symptom of rotating machines faults in vibration signals is the presence of repetitive transients, whose distinctive signature is both impulsive and cyclostationary. Typical approaches for their detection proceed in the time or frequency domains, with tools such as the spectral kurtosis, the kurtogram, or the envelope spectrum. The object of this paper is to extend and somehow connect these concepts in order to capture the signature of repetitive transients in both domains. Motivated by ideas borrowed from the field of thermodynamics where transients are seen as departures from a state of equilibrium, it is proposed to measure the negentropy of the squared envelope (SE) and of the squared envelope spectrum (SES) of the signal. This defines the SE infogram, the SES infogram, and their average which is theoretically maximum for a Dirac comb according to Hirschman's uncertainty principle. It is demonstrated that the joint consideration of the infograms significantly extends the domain of applicability of the kurtogram, in particular to situations corrupted with impulsive noise or when the relaxation time of the transients is low as compared to their rate of repetition. This is illustrated on both synthetic and actual vibration signals. This paper is part of a special issue in honor of Professor Simon Braun and pays tribute to his early contribution to the field of mechanical signature analysis.

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Section: The Squared Envelope Spectrummentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

The infogram: Entropic evidence of the signature of repetitive transients

Antoni¹

2016

Mechanical Systems and Signal Processing

485

211

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“…The conceptual relationship between cyclostationarity and envelope analysis was introduced in 2001 thanks to Randall et al [15], who stated that the envelope spectrum is equivalent to an integrated version of the cyclic power spectrum (i.e., the integral over the spectral axis of the bi-dimensional cyclic correlation). This important theoretical result was generally considered as a possibility to bring envelope analysis in the more sophisticated framework of cyclostationarity, where statistical tests could be performed for the presence of 2nd order cyclostationary components [4,16].…”

Section: Traditional Estimators Of the Cyclic Power Spectrummentioning

confidence: 99%

“…Summarising, the advantages of such approach are the analytical simplicity of the estimator, inherited from the successful envelope spectrum the straightforward implementation which requires simple filter banks and FFTs, which may result in a significant advantage for industrial applications the direct link with the envelope spectrum, allowing the transfer of analytical results obtained in previous studies on envelope analysis, kurtosis and related thresholding [16,20].…”

Section: Number Of Complex Multiplications Order Of Magnitudementioning

confidence: 99%

The envelope-based cyclic periodogram

Borghesani

2015

Mechanical Systems and Signal Processing

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“…A frequency-shift, the "jitter", due to the actual kinematic contact among the elements of the bearing and depending mainly on the bearing load appears in real cases as described in [2,13] and [14]. The following theoretical damage frequencies for the SKF NU1040M bearing running at 16.17 Hz are: Knowing the theoretical bearing defect frequencies, it is possible to identify the type of the bearing damage (inner ring, outer ring or rollers) by means of the SES [15][16][17].…”

Section: Damage Typementioning

confidence: 99%

Monitoring of the Damage in Rolling Element Bearings

Chatterton

Borghesani

Pennacchi

et al. 2014

Mechanisms and Machine Science

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Envelope Analysis of vibration signal is the most used and simplest method for the diagnostics of rolling element bearings. This method is based on the identification of bearing damage frequency components in the so-called Envelope Spectrum. If the recognition of the damage type is quite a simple task, the monitoring and the evaluation of the trend of a suitable damage index are complex tasks\ud to be performed in an automatic way. The damage index must be robust against variations of system operating conditions and external vibration sources to avoid\ud misleading results. In the paper, the case of a rolling element bearing in which the defect develops until a permanent failure is described as well as the algorithm\ud implemented for alarm signaling

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Testing second order cyclostationarity in the squared envelope spectrum of non-white vibration signals

Cited by 71 publications

References 15 publications

The infogram: Entropic evidence of the signature of repetitive transients

The infogram: Entropic evidence of the signature of repetitive transients

The envelope-based cyclic periodogram

Monitoring of the Damage in Rolling Element Bearings

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