Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid

A new continuous element (CE) formulation has been presented in this paper for the vibration analysis of cross-ply composite joined conical-cylindrical-conical shells containing fluid. Governing equations are obtained using thick shell theory of Midlin, taking into account the shear deflection effe...

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Main Authors: Vu Quoc Hien, Tran Ich Thinh, Nguyen Manh Cuong
Format: Article
Language:English
Published: Publishing House for Science and Technology 2016-12-01
Series:Vietnam Journal of Mechanics
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Online Access:https://vjs.ac.vn/index.php/vjmech/article/view/6954
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author Vu Quoc Hien
Tran Ich Thinh
Nguyen Manh Cuong
author_facet Vu Quoc Hien
Tran Ich Thinh
Nguyen Manh Cuong
author_sort Vu Quoc Hien
collection DOAJ
description A new continuous element (CE) formulation has been presented in this paper for the vibration analysis of cross-ply composite joined conical-cylindrical-conical shells containing fluid. Governing equations are obtained using thick shell theory of Midlin, taking into account the shear deflection effects. The velocity potential, Bernoulli's equation and impermeability condition have been applied to the shell-fluid interface to obtain an explicit expression for fluid pressure. The dynamic stiffness matrix has been built from which natural frequencies have been calculated. The appropriate expressions among stress resultants and deformations are extracted as continuity conditions at the joining section. A matlab program is written using the CE formulation in order to validate our model. Numerical results on natural frequencies are compared to those obtained by the Finite Element Method and validated with the available results in other investigations. This paper emphasizes advantages of CE model, the effects of the fluid filling and shell geometries on the natural frequencies of joined composite conical-cylindrical-conical shells containing fluid.
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issn 0866-7136
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publishDate 2016-12-01
publisher Publishing House for Science and Technology
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series Vietnam Journal of Mechanics
spelling doaj-art-7a4eb7e911fa477f9a7fa296362f129f2025-08-20T03:04:43ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822016-12-0138410.15625/0866-7136/6954Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluidVu Quoc Hien0Tran Ich Thinh1Nguyen Manh Cuong2Viet Tri University of Industry, Phu Tho, VietnamHanoi University of Science and Technology, VietnamHanoi University of Science and Technology, Vietnam A new continuous element (CE) formulation has been presented in this paper for the vibration analysis of cross-ply composite joined conical-cylindrical-conical shells containing fluid. Governing equations are obtained using thick shell theory of Midlin, taking into account the shear deflection effects. The velocity potential, Bernoulli's equation and impermeability condition have been applied to the shell-fluid interface to obtain an explicit expression for fluid pressure. The dynamic stiffness matrix has been built from which natural frequencies have been calculated. The appropriate expressions among stress resultants and deformations are extracted as continuity conditions at the joining section. A matlab program is written using the CE formulation in order to validate our model. Numerical results on natural frequencies are compared to those obtained by the Finite Element Method and validated with the available results in other investigations. This paper emphasizes advantages of CE model, the effects of the fluid filling and shell geometries on the natural frequencies of joined composite conical-cylindrical-conical shells containing fluid. https://vjs.ac.vn/index.php/vjmech/article/view/6954Free vibrationcross-ply composite joined conical-cylindricall-conical shellsdynamics stiffness matrixcontinuous element method
spellingShingle Vu Quoc Hien
Tran Ich Thinh
Nguyen Manh Cuong
Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid
Vietnam Journal of Mechanics
Free vibration
cross-ply composite joined conical-cylindricall-conical shells
dynamics stiffness matrix
continuous element method
title Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid
title_full Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid
title_fullStr Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid
title_full_unstemmed Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid
title_short Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid
title_sort free vibration analysis of joined composite conical cylindrical conical shells containing fluid
topic Free vibration
cross-ply composite joined conical-cylindricall-conical shells
dynamics stiffness matrix
continuous element method
url https://vjs.ac.vn/index.php/vjmech/article/view/6954
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AT tranichthinh freevibrationanalysisofjoinedcompositeconicalcylindricalconicalshellscontainingfluid
AT nguyenmanhcuong freevibrationanalysisofjoinedcompositeconicalcylindricalconicalshellscontainingfluid