Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach

Abstract This paper uses the singular value decomposition approach to find the optimal distribution of a set of piezoelectric actuators and sensors in order to suppress the vibrations of a thick plate. The dynamic model of the system is derived using Mindlin plate theory and consequently, the finite...

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Autores principales:	Azin Nadi, Mojtaba Mahzoon, Ehsan Azadi Yazdi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/30df21a7671542b4a94e717b95f03ee8
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spelling	oai:doaj.org-article:30df21a7671542b4a94e717b95f03ee82021-12-02T18:18:33ZOptimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach10.1038/s41598-021-93136-52045-2322https://doaj.org/article/30df21a7671542b4a94e717b95f03ee82021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-93136-5https://doaj.org/toc/2045-2322Abstract This paper uses the singular value decomposition approach to find the optimal distribution of a set of piezoelectric actuators and sensors in order to suppress the vibrations of a thick plate. The dynamic model of the system is derived using Mindlin plate theory and consequently, the finite difference method is employed to divide the thick plate to a finite number of nodes with appropriate horizontal and vertical distances. To compute the control force of piezoelectric actuators, the singular value decomposition approach for the column control matrix is supposed as the fitness function of an optimization problem. Through a genetic algorithm, the optimized solution is obtained. The results of numerical simulations indicate the optimal location achieved by the proposed method outperforms the previous results in suppressing the vibrations of a thick plate.Azin NadiMojtaba MahzoonEhsan Azadi YazdiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-18 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Azin Nadi Mojtaba Mahzoon Ehsan Azadi Yazdi Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
description	Abstract This paper uses the singular value decomposition approach to find the optimal distribution of a set of piezoelectric actuators and sensors in order to suppress the vibrations of a thick plate. The dynamic model of the system is derived using Mindlin plate theory and consequently, the finite difference method is employed to divide the thick plate to a finite number of nodes with appropriate horizontal and vertical distances. To compute the control force of piezoelectric actuators, the singular value decomposition approach for the column control matrix is supposed as the fitness function of an optimization problem. Through a genetic algorithm, the optimized solution is obtained. The results of numerical simulations indicate the optimal location achieved by the proposed method outperforms the previous results in suppressing the vibrations of a thick plate.
format	article
author	Azin Nadi Mojtaba Mahzoon Ehsan Azadi Yazdi
author_facet	Azin Nadi Mojtaba Mahzoon Ehsan Azadi Yazdi
author_sort	Azin Nadi
title	Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
title_short	Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
title_full	Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
title_fullStr	Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
title_full_unstemmed	Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
title_sort	optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/30df21a7671542b4a94e717b95f03ee8
work_keys_str_mv	AT azinnadi optimaldistributionofpiezoelectricpatchesforactivevibrationreductionofathickplateusingsingularvaluedecompositionapproach AT mojtabamahzoon optimaldistributionofpiezoelectricpatchesforactivevibrationreductionofathickplateusingsingularvaluedecompositionapproach AT ehsanazadiyazdi optimaldistributionofpiezoelectricpatchesforactivevibrationreductionofathickplateusingsingularvaluedecompositionapproach
_version_	1718378265482100736

Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach

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