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Circularly-symmetric complex normal ratio distribution for scalar transmissibility functions. Part III: Application to statistical modal analysis
Yan, W.; Ren, W.
2018
Source PublicationMechanical Systems and Signal Processing
ISSN0888-3270
Pages1000-1019
Abstract

This study applies the theoretical findings of circularly-symmetric complex normal ratio distribution Yan and Ren (2016) [1,2] to transmissibility-based modal analysis from a statistical viewpoint. A probabilistic model of transmissibility function in the vicinity of the resonant frequency is formulated in modal domain, while some insightful comments are offered. It theoretically reveals that the statistics of transmissibility function around the resonant frequency is solely dependent on ‘noise-to-signal’ ratio and mode shapes. As a sequel to the development of the probabilistic model of transmissibility function in modal domain, this study poses the process of modal identification in the context of Bayesian framework by borrowing a novel paradigm. Implementation issues unique to the proposed approach are resolved by Lagrange multiplier approach. Also, this study explores the possibility of applying Bayesian analysis in distinguishing harmonic components and structural ones. The approaches are verified through simulated data and experimentally testing data. The uncertainty behavior due to variation of different factors is also discussed in detail.

KeywordTransmissibility Probabilistic Model Modal Analysis Harmonic Component Uncertainty Quantification
DOI10.1016/j.ymssp.2017.05.029
URLView the original
Language英語English
WOS IDWOS:000413055900060
The Source to ArticlePB_Publication
Scopus ID2-s2.0-85034023460
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionTHE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
Recommended Citation
GB/T 7714
Yan, W.,Ren, W.. Circularly-symmetric complex normal ratio distribution for scalar transmissibility functions. Part III: Application to statistical modal analysis[J]. Mechanical Systems and Signal Processing, 2018, 1000-1019.
APA Yan, W.., & Ren, W. (2018). Circularly-symmetric complex normal ratio distribution for scalar transmissibility functions. Part III: Application to statistical modal analysis. Mechanical Systems and Signal Processing, 1000-1019.
MLA Yan, W.,et al."Circularly-symmetric complex normal ratio distribution for scalar transmissibility functions. Part III: Application to statistical modal analysis".Mechanical Systems and Signal Processing (2018):1000-1019.
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