Journal ArticleDOI
Time-varying vibration decomposition and analysis based on the Hilbert transform
TLDR
In this article, a simple method for time-varying vibration decomposition based on the Hilbert transform is proposed, where the non-stationary frequency of the largest component is estimated as an average function of the instantaneous frequency, and the corresponding envelope is estimated according to synchronous demodulation.About:
This article is published in Journal of Sound and Vibration.The article was published on 2006-08-22. It has received 234 citations till now. The article focuses on the topics: Hilbert spectral analysis & Hilbert–Huang transform.read more
Citations
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Journal ArticleDOI
Variational Mode Decomposition
TL;DR: This work proposes an entirely non-recursive variational mode decomposition model, where the modes are extracted concurrently and is a generalization of the classic Wiener filter into multiple, adaptive bands.
Journal ArticleDOI
Hilbert transform in vibration analysis
TL;DR: In this article, a tutorial on Hilbert transform applications to mechanical vibration is presented, with a large number of examples devoted to illustrating key concepts on actual mechanical signals and demonstrating how the Hilbert transform can be taken advantage of in machine diagnostics, identification of mechanical systems and decomposition of signal components.
Journal ArticleDOI
Nonlinear system identification in structural dynamics: 10 more years of progress
TL;DR: In this paper, the authors present a survey of the key developments which arose in the field since 2006, and illustrate state-of-the-art techniques using a real-world satellite structure.
Journal ArticleDOI
A review of stochastic resonance in rotating machine fault detection
Siliang Lu,Qingbo He,Jun Wang +2 more
TL;DR: This study is committed to providing a comprehensive review of SR from history to state-of-the-art methods and finally to research prospects, along with the applications in rotating machine fault detection.
Journal ArticleDOI
Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: Description of response regimes
TL;DR: In this article, a series of two papers is devoted to detailed investigation of the response regimes of linear oscillator with attached nonlinear energy sink (NES) under harmonic external forcing and assessment of possible application of the NES for vibration absorption and mitigation.
References
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Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
TL;DR: In this paper, a new method for analysing nonlinear and nonstationary data has been developed, which is the key part of the method is the empirical mode decomposition method with which any complicated data set can be decoded.
Journal ArticleDOI
Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals
TL;DR: The concept of instantaneous frequency (IF), its definitions, and the correspondence between the various mathematical models formulated for representation of IF are discussed in this paper, and the extent to which the IF corresponds to the intuitive expectation of reality is also considered.
Journal ArticleDOI
A new view of nonlinear water waves: the Hilbert spectrum
TL;DR: In this paper, Hilbert spectral analysis is proposed as an alternative to wavelet analysis, which provides not only a more precise definition of particular events in time-frequency space, but also more physically meaningful interpretations of the underlying dynamic processes.
Journal ArticleDOI
Non-linear free vibration identification via the hilbert transform
TL;DR: In this article, a time domain non-parametric method for non-linear vibration system identification based on the Hilbert transform is introduced, which is demonstrated using computer simulations of different types of nonlinear elastic and damping dynamic systems.
Journal ArticleDOI
Recent Developments in Chaotic Time Series Analysis
Ying-Cheng Lai,Nong Ye +1 more
TL;DR: Two issues are addressed: the applicability of the delay-coordinate embedding method to transient chaotic time series analysis, and the Hilbert transform methodology for chao...
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