2005•Unpublished venueRequires access

Applications of Hilbert-Huang Transform in the Dynamic Response Analysis of System

Shuqing Guo

Abstract

In order to analyze the dynamic response of linear 2-DOF system and identify the influence of all the factors on it,a new time-frequency method named Hilbert-Huang transform was applied in the time-frequency analysis of linear 2-DOF system,which was put forward by Norden E.Huang in USA.The dynamic response was decomposed into significant IMF by Empirical Mode Decomposition.After performing the Hilbert transform,the IMFs can achieve the Hilbert spectra.It clearly shows the action of the natural frequency and prompting frequency.The Hilbert-Huang Transform does better than Fourier Transform in the time domain,which can show the dynamic character in time-frequency domain.The method is accurate and valid in the time-frequency analysis.

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Key concepts: Hilbert–Huang transform, Hilbert spectral analysis, Hilbert transform, Frequency domain, Fourier transform, Time–frequency analysis, Instantaneous phase, Mathematics