An Underdetermined Blind Source Separation Method with Application to Modal Identification

In structural dynamic analysis, the blind source separation (BSS) technique has been accepted as one of the most effective ways for modal identification, in which how to extract the modal parameters using very limited sensors is a highly challenging task in this field. In this paper, we first review...

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Main Author: Gang Yu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/1637163
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author Gang Yu
author_facet Gang Yu
author_sort Gang Yu
collection DOAJ
description In structural dynamic analysis, the blind source separation (BSS) technique has been accepted as one of the most effective ways for modal identification, in which how to extract the modal parameters using very limited sensors is a highly challenging task in this field. In this paper, we first review the drawbacks of the conventional BSS methods and then propose a novel underdetermined BSS method for addressing the modal identification with limited sensors. The proposed method is established on the clustering features of time-frequency (TF) transform of modal response signals. This study finds that the TF energy belonging to different monotone modals can cluster into distinct straight lines. Meanwhile, we provide the detailed theorem to explain the clustering features. Moreover, the TF coefficients of each modal are employed to reconstruct all monotone signals, which can benefit to individually identify the modal parameters. In experimental validations, two experimental validations demonstrate the effectiveness of the proposed method.
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institution Kabale University
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publishDate 2019-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-1a71cc0bd5974d4198f846cb4a023af92025-02-03T05:44:50ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/16371631637163An Underdetermined Blind Source Separation Method with Application to Modal IdentificationGang Yu0School of Electrical Engineering, University of Jinan, Jinan 250022, ChinaIn structural dynamic analysis, the blind source separation (BSS) technique has been accepted as one of the most effective ways for modal identification, in which how to extract the modal parameters using very limited sensors is a highly challenging task in this field. In this paper, we first review the drawbacks of the conventional BSS methods and then propose a novel underdetermined BSS method for addressing the modal identification with limited sensors. The proposed method is established on the clustering features of time-frequency (TF) transform of modal response signals. This study finds that the TF energy belonging to different monotone modals can cluster into distinct straight lines. Meanwhile, we provide the detailed theorem to explain the clustering features. Moreover, the TF coefficients of each modal are employed to reconstruct all monotone signals, which can benefit to individually identify the modal parameters. In experimental validations, two experimental validations demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2019/1637163
spellingShingle Gang Yu
An Underdetermined Blind Source Separation Method with Application to Modal Identification
Shock and Vibration
title An Underdetermined Blind Source Separation Method with Application to Modal Identification
title_full An Underdetermined Blind Source Separation Method with Application to Modal Identification
title_fullStr An Underdetermined Blind Source Separation Method with Application to Modal Identification
title_full_unstemmed An Underdetermined Blind Source Separation Method with Application to Modal Identification
title_short An Underdetermined Blind Source Separation Method with Application to Modal Identification
title_sort underdetermined blind source separation method with application to modal identification
url http://dx.doi.org/10.1155/2019/1637163
work_keys_str_mv AT gangyu anunderdeterminedblindsourceseparationmethodwithapplicationtomodalidentification
AT gangyu underdeterminedblindsourceseparationmethodwithapplicationtomodalidentification