Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer

The work is devoted to a numerical study of the behavior of vertically oriented eccentric (non-coaxial) electroelastic shells, containing a fluid in the gap between them. The solution of the problem is found in the framework of a three-dimensional formulation using the finite element method. The she...

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Main Authors: Sergei Lekomtsev, Sergey Bochkarev, Alexander Senin
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2019-05-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2452
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author Sergei Lekomtsev
Sergey Bochkarev
Alexander Senin
author_facet Sergei Lekomtsev
Sergey Bochkarev
Alexander Senin
author_sort Sergei Lekomtsev
collection DOAJ
description The work is devoted to a numerical study of the behavior of vertically oriented eccentric (non-coaxial) electroelastic shells, containing a fluid in the gap between them. The solution of the problem is found in the framework of a three-dimensional formulation using the finite element method. The shells are made of the piezoelectric material polarized in the radial direction. Thin-walled structures are considered in the framework of the classical theory based on the Kirchhoff – Love hypotheses, as well as the equations of linear electroelasticity. The distribution of the electric potential through the thickness is assumed linear. The fluid is considered within the framework of a potential theory. The study of the low natural frequencies and vibration modes is carried out for different variants of the boundary conditions at the edges of the shells, the level of fluid in the gap and the eccentricity of the inner shell. The influence of the electric boundary conditions specified on the parts of the shells surfaces covered with electrodes is estimated.
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institution Kabale University
issn 1971-8993
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publishDate 2019-05-01
publisher Gruppo Italiano Frattura
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series Fracture and Structural Integrity
spelling doaj-art-bb3d14b7b42447c29cfc1d28acadf3fe2025-01-03T00:39:47ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-05-011349Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layerSergei Lekomtsev0Sergey Bochkarev1Alexander Senin2Institute of Continuous Media Mechanics, Ural Branch Russian Academy of SciencesInstitute of Continuous Media Mechanics, Ural Branch Russian Academy of SciencesInstitute of Continuous Media Mechanics, Ural Branch Russian Academy of SciencesThe work is devoted to a numerical study of the behavior of vertically oriented eccentric (non-coaxial) electroelastic shells, containing a fluid in the gap between them. The solution of the problem is found in the framework of a three-dimensional formulation using the finite element method. The shells are made of the piezoelectric material polarized in the radial direction. Thin-walled structures are considered in the framework of the classical theory based on the Kirchhoff – Love hypotheses, as well as the equations of linear electroelasticity. The distribution of the electric potential through the thickness is assumed linear. The fluid is considered within the framework of a potential theory. The study of the low natural frequencies and vibration modes is carried out for different variants of the boundary conditions at the edges of the shells, the level of fluid in the gap and the eccentricity of the inner shell. The influence of the electric boundary conditions specified on the parts of the shells surfaces covered with electrodes is estimated.https://www.fracturae.com/index.php/fis/article/view/2452PiezoceramicsPotential fluidPartial fillingEccentric cylindrical shellsFinite element methodNatural vibrations
spellingShingle Sergei Lekomtsev
Sergey Bochkarev
Alexander Senin
Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
Fracture and Structural Integrity
Piezoceramics
Potential fluid
Partial filling
Eccentric cylindrical shells
Finite element method
Natural vibrations
title Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
title_full Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
title_fullStr Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
title_full_unstemmed Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
title_short Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
title_sort analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer
topic Piezoceramics
Potential fluid
Partial filling
Eccentric cylindrical shells
Finite element method
Natural vibrations
url https://www.fracturae.com/index.php/fis/article/view/2452
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AT sergeybochkarev analysisofspatialvibrationsofpiezoceramiceccentriccylindricalshellsinteractingwithanannularfluidlayer
AT alexandersenin analysisofspatialvibrationsofpiezoceramiceccentriccylindricalshellsinteractingwithanannularfluidlayer