Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid

The work is devoted to investigation of the dynamic behavior of elastic coaxial cylindrical shells interacting with an ideal compressible fluid. The shell behavior is examined in the framework of the classical shell theory, using the variational principle of virtual displacements as a mathematical fo...

Full description

Bibliographic Details
Main Authors: Sergey A Bochkarev, Sergey V Lekomtsev
Format: Article
Language:English
Published: Samara State Technical University 2012-09-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20841/17100
_version_ 1828311371415027712
author Sergey A Bochkarev
Sergey V Lekomtsev
author_facet Sergey A Bochkarev
Sergey V Lekomtsev
author_sort Sergey A Bochkarev
collection DOAJ
description The work is devoted to investigation of the dynamic behavior of elastic coaxial cylindrical shells interacting with an ideal compressible fluid. The shell behavior is examined in the framework of the classical shell theory, using the variational principle of virtual displacements as a mathematical formulation. The fluid is described in terms of potential theory. With this approach, the stated problem reduces to simultaneous solving of four sets of equations using the finite element method. For shells with different boundary conditions the numerical investigations have been carried out to explore the effects of the annular gap on the boundary of hydroelastic stability.
first_indexed 2024-04-13T15:57:48Z
format Article
id doaj.art-d28783f6935d47fab43b40e4c50c17f0
institution Directory Open Access Journal
issn 1991-8615
2310-7081
language English
last_indexed 2024-04-13T15:57:48Z
publishDate 2012-09-01
publisher Samara State Technical University
record_format Article
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
spelling doaj.art-d28783f6935d47fab43b40e4c50c17f02022-12-22T02:40:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-011638810118258Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluidSergey A Bochkarev0Sergey V Lekomtsev1Institute of Continuous Media Mechanics, Ural Branch of RASInstitute of Continuous Media Mechanics, Ural Branch of RASThe work is devoted to investigation of the dynamic behavior of elastic coaxial cylindrical shells interacting with an ideal compressible fluid. The shell behavior is examined in the framework of the classical shell theory, using the variational principle of virtual displacements as a mathematical formulation. The fluid is described in terms of potential theory. With this approach, the stated problem reduces to simultaneous solving of four sets of equations using the finite element method. For shells with different boundary conditions the numerical investigations have been carried out to explore the effects of the annular gap on the boundary of hydroelastic stability.https://journals.eco-vector.com/1991-8615/article/viewFile/20841/17100coaxial shellspotential fluidfinite element methodstabilitydivergenceflutter
spellingShingle Sergey A Bochkarev
Sergey V Lekomtsev
Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
coaxial shells
potential fluid
finite element method
stability
divergence
flutter
title Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
title_full Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
title_fullStr Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
title_full_unstemmed Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
title_short Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
title_sort investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid
topic coaxial shells
potential fluid
finite element method
stability
divergence
flutter
url https://journals.eco-vector.com/1991-8615/article/viewFile/20841/17100
work_keys_str_mv AT sergeyabochkarev investigationofboundaryconditionsonstabilityofcoaxialcylindricalshellsinteractingwithflowingfluid
AT sergeyvlekomtsev investigationofboundaryconditionsonstabilityofcoaxialcylindricalshellsinteractingwithflowingfluid