Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder

The paper studies the vibration response of an elastic solid that has geometric symmetries. These determine special properties of the equations of motion of such a system, presented in the case of a cylindrical body (hollow cylinder). The properties of the eigenvalues and eigenmodes of these systems...

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Autores principales:	Călin Itu, Sorin Vlase, Marin Marin, Ana Toderiță
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	symmetry hollow cylinder FEM eigenvalue eigenmode vibration Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/05c71ef4921441a29456f0b479e8222e
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spelling	oai:doaj.org-article:05c71ef4921441a29456f0b479e8222e2021-11-25T19:07:07ZUse of the Symmetries in the Study of Vibration Response of a Hollow Cylinder10.3390/sym131121452073-8994https://doaj.org/article/05c71ef4921441a29456f0b479e8222e2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2145https://doaj.org/toc/2073-8994The paper studies the vibration response of an elastic solid that has geometric symmetries. These determine special properties of the equations of motion of such a system, presented in the case of a cylindrical body (hollow cylinder). The properties of the eigenvalues and eigenmodes of these systems are theoretically established. A validation of these results is made using the finite element method. The use of the obtained results can lead to an easing of the vibration analysis of such a system and, consequently, to the decrease of the cost related to the design and manufacture of such a structure. The properties presented and demonstrated in the paper can simplify the numerical calculation and experimental verifications of such a structure. Serving these symmetries, the computation cost decrease substantially and will depend not in the number of the identical parts.Călin ItuSorin VlaseMarin MarinAna ToderițăMDPI AGarticlesymmetryhollow cylinderFEMeigenvalueeigenmodevibrationMathematicsQA1-939ENSymmetry, Vol 13, Iss 2145, p 2145 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	symmetry hollow cylinder FEM eigenvalue eigenmode vibration Mathematics QA1-939
spellingShingle	symmetry hollow cylinder FEM eigenvalue eigenmode vibration Mathematics QA1-939 Călin Itu Sorin Vlase Marin Marin Ana Toderiță Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder
description	The paper studies the vibration response of an elastic solid that has geometric symmetries. These determine special properties of the equations of motion of such a system, presented in the case of a cylindrical body (hollow cylinder). The properties of the eigenvalues and eigenmodes of these systems are theoretically established. A validation of these results is made using the finite element method. The use of the obtained results can lead to an easing of the vibration analysis of such a system and, consequently, to the decrease of the cost related to the design and manufacture of such a structure. The properties presented and demonstrated in the paper can simplify the numerical calculation and experimental verifications of such a structure. Serving these symmetries, the computation cost decrease substantially and will depend not in the number of the identical parts.
format	article
author	Călin Itu Sorin Vlase Marin Marin Ana Toderiță
author_facet	Călin Itu Sorin Vlase Marin Marin Ana Toderiță
author_sort	Călin Itu
title	Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder
title_short	Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder
title_full	Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder
title_fullStr	Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder
title_full_unstemmed	Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder
title_sort	use of the symmetries in the study of vibration response of a hollow cylinder
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/05c71ef4921441a29456f0b479e8222e
work_keys_str_mv	AT calinitu useofthesymmetriesinthestudyofvibrationresponseofahollowcylinder AT sorinvlase useofthesymmetriesinthestudyofvibrationresponseofahollowcylinder AT marinmarin useofthesymmetriesinthestudyofvibrationresponseofahollowcylinder AT anatoderita useofthesymmetriesinthestudyofvibrationresponseofahollowcylinder
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Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder

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