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Enhanced Hilbert–Huang transform and its application to modal identification
Author(s) -
Bahar Omid,
Ramezani Soheil
Publication year - 2014
Publication title -
the structural design of tall and special buildings
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.895
H-Index - 43
eISSN - 1541-7808
pISSN - 1541-7794
DOI - 10.1002/tal.1034
Subject(s) - hilbert–huang transform , hilbert spectral analysis , hilbert transform , modal , instantaneous phase , mode (computer interface) , identification (biology) , modal analysis , algorithm , noise (video) , computer science , decomposition , mathematics , time–frequency analysis , limit (mathematics) , speech recognition , acoustics , mathematical analysis , spectral density , artificial intelligence , vibration , statistics , physics , telecommunications , image (mathematics) , white noise , biology , botany , ecology , chemistry , operating system , radar , polymer chemistry
SUMMARY The well‐known Hilbert–Huang transform (HHT) consists of empirical mode decomposition to extract intrinsic mode functions (IMFs) and Hilbert spectral analysis to obtain time–frequency characteristics of IMFs through the Hilbert transform. There are two mathematical requirements that limit application of the Hilbert transform. Moreover, noise effects caused by the empirical mode decomposition procedure add a scatter to derivative‐based instantaneous frequency determined by the Hilbert transform. In this paper, a new enhanced HHT is proposed in which by avoiding mathematical limitations of the Hilbert spectral analysis, an additional parameter is employed to reduce the noise effects on the instantaneous frequencies of IMFs. To demonstrate the efficacy of the proposed method, two case studies associated with structural modal identification are selected. In the first case, through identification of a typical 3‐DOF structural model subjected to a random excitation, accuracy of the enhanced method is verified. In the second case, ambient response data recorded from a real 15‐story building are analyzed, and nine modal frequencies of the building are identified. The case studies indicate that the enhanced HHT provides more accurate and physically meaningful results than HHT and is capable to be an efficient tool in structural engineering applications. Copyright © 2012 John Wiley & Sons, Ltd.