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Analytical investigation into error propagation of power spectral density transmissibility (PSDT) based on coherence function
Sun, Qian1; Yan, Wang Ji2,3; Ren, Wei Xin4
2021-12-08
Source PublicationJournal of Sound and Vibration
ISSN0022-460X
Volume514Pages:116429
Abstract

Power spectral density transmissibility (PSDT) has attracted widespread interests because it is insensitive to the nature of excitation and has no demand for measuring the input. The classical spectral estimation procedure is usually subject to measurement and spectral leakage errors, which might cause distortion in the estimation of PSDT. This study investigates how the error of PSD estimation propagates into PSDT estimation based on analytical approximation formulas. Based on perturbation theory in tandem with statistical moments of the ratio of random variables, both first- and second-order asymptotic expressions of the mean and variance of PSDT estimation are derived in terms of coherence functions, PSDT measurements, and the number of averages. Given these theoretical findings, it is further revealed that the variance of PSDT estimation around the system poles approaches zero, and the variances of the magnitude and phase of the mode shape decrease to local minima. The performance of the analytical error propagation formulas is validated through numerical and field test data. Parametric studies into the effects of recording durations, window types, and reference outputs on the statistics of PSDT estimation and mode shape estimation are also conducted.

KeywordCoherence Function Error Propagation Operational Modal Analysis Perturbation Method Power Spectral Density Transmissibility Spectral Error
DOI10.1016/j.jsv.2021.116429
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAcoustics ; Engineering ; Mechanics
WOS SubjectAcoustics ; Engineering, Mechanical ; Mechanics
WOS IDWOS:000708937300002
PublisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD24-28 OVAL RD, LONDON NW1 7DX, ENGLAND
Scopus ID2-s2.0-85114925851
Fulltext Access
FWCI0.3539099
Citation statistics
Document TypeJournal article
CollectionTHE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
Corresponding AuthorRen, Wei Xin
Affiliation1.School of Urban Construction and Transportation, Hefei University, Hefei, China
2.State Key Laboratory of Internet of Things for Smart City and Department of Civil and Environmental Engineering, University of Macau, China
3.Faculty of Science and Technology, Guangdong–Hong Kong–Macau Joint Laboratory for Smart Cities, University of Macau, China
4.College of Civil Engineering, Shenzhen University, Shenzhen, China
Recommended Citation
GB/T 7714
Sun, Qian,Yan, Wang Ji,Ren, Wei Xin. Analytical investigation into error propagation of power spectral density transmissibility (PSDT) based on coherence function[J]. Journal of Sound and Vibration,2021,514:116429.
APA Sun, Qian,Yan, Wang Ji,&Ren, Wei Xin.(2021).Analytical investigation into error propagation of power spectral density transmissibility (PSDT) based on coherence function.Journal of Sound and Vibration,514,116429.
MLA Sun, Qian,et al."Analytical investigation into error propagation of power spectral density transmissibility (PSDT) based on coherence function".Journal of Sound and Vibration 514(2021):116429.
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