Modal Appropriation for Use with In-Operation Modal Analysis

We propose in this paper a numerical modal appropriation method for use with in-operation modal analysis (INOPMA). The key idea is to realize that the correlation sequence of the system output is the sum of decaying sinusoids with a certain phase shift and therefore it may be considered as an impuls...

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Main Authors: M. Abdelghani, D. J. Inman
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2015/537030
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author M. Abdelghani
D. J. Inman
author_facet M. Abdelghani
D. J. Inman
author_sort M. Abdelghani
collection DOAJ
description We propose in this paper a numerical modal appropriation method for use with in-operation modal analysis (INOPMA). The key idea is to realize that the correlation sequence of the system output is the sum of decaying sinusoids with a certain phase shift and therefore it may be considered as an impulse response. The method is based on performing a numerical convolution of a single sine wave force with the system output correlation sequence. The steps are then similar to the classical modal appropriation method, although the characteristic frequencies are different. This approach is validated and compared to a subspace method on simulated data as well as on experimental data and it is shown that INOPMA outperforms the subspace method.
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spelling doaj-art-55df8e1c597147b3ba3860cdf0e1a1bb2025-02-03T06:04:55ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/537030537030Modal Appropriation for Use with In-Operation Modal AnalysisM. Abdelghani0D. J. Inman1ISSAT Sousse, Avenue Ibn Khaldoun, Taffala, 4003 Sousse, TunisiaUniversity of Michigan, Ann Arbor, MI 48109, USAWe propose in this paper a numerical modal appropriation method for use with in-operation modal analysis (INOPMA). The key idea is to realize that the correlation sequence of the system output is the sum of decaying sinusoids with a certain phase shift and therefore it may be considered as an impulse response. The method is based on performing a numerical convolution of a single sine wave force with the system output correlation sequence. The steps are then similar to the classical modal appropriation method, although the characteristic frequencies are different. This approach is validated and compared to a subspace method on simulated data as well as on experimental data and it is shown that INOPMA outperforms the subspace method.http://dx.doi.org/10.1155/2015/537030
spellingShingle M. Abdelghani
D. J. Inman
Modal Appropriation for Use with In-Operation Modal Analysis
Shock and Vibration
title Modal Appropriation for Use with In-Operation Modal Analysis
title_full Modal Appropriation for Use with In-Operation Modal Analysis
title_fullStr Modal Appropriation for Use with In-Operation Modal Analysis
title_full_unstemmed Modal Appropriation for Use with In-Operation Modal Analysis
title_short Modal Appropriation for Use with In-Operation Modal Analysis
title_sort modal appropriation for use with in operation modal analysis
url http://dx.doi.org/10.1155/2015/537030
work_keys_str_mv AT mabdelghani modalappropriationforusewithinoperationmodalanalysis
AT djinman modalappropriationforusewithinoperationmodalanalysis