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Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form
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Zeitschriftentitel: | International Journal of Applied Mechanics and Engineering |
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Personen und Körperschaften: | , , , |
In: | International Journal of Applied Mechanics and Engineering, 18, 2013, 1, S. 189-216 |
Format: | E-Article |
Sprache: | Unbestimmt |
veröffentlicht: |
University of Zielona Góra, Poland
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Schlagwörter: |
author_facet |
Shanker, B. Nath, C.N. Shah, S.A. Reddy, P.M. Shanker, B. Nath, C.N. Shah, S.A. Reddy, P.M. |
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author |
Shanker, B. Nath, C.N. Shah, S.A. Reddy, P.M. |
spellingShingle |
Shanker, B. Nath, C.N. Shah, S.A. Reddy, P.M. International Journal of Applied Mechanics and Engineering Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form Fluid Flow and Transfer Processes Transportation Civil and Structural Engineering |
author_sort |
shanker, b. |
spelling |
Shanker, B. Nath, C.N. Shah, S.A. Reddy, P.M. 1734-4492 2353-9003 University of Zielona Góra, Poland Fluid Flow and Transfer Processes Transportation Civil and Structural Engineering http://dx.doi.org/10.2478/ijame-2013-0013 <jats:p>Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.</jats:p> Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form International Journal of Applied Mechanics and Engineering |
doi_str_mv |
10.2478/ijame-2013-0013 |
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Physik Allgemeines Technik |
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University of Zielona Góra, Poland, 2013 |
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University of Zielona Góra, Poland, 2013 |
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1734-4492 2353-9003 |
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2013 |
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University of Zielona Góra, Poland |
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International Journal of Applied Mechanics and Engineering |
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49 |
title |
Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_unstemmed |
Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_full |
Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_fullStr |
Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_full_unstemmed |
Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_short |
Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_sort |
vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid in plane-strain form |
topic |
Fluid Flow and Transfer Processes Transportation Civil and Structural Engineering |
url |
http://dx.doi.org/10.2478/ijame-2013-0013 |
publishDate |
2013 |
physical |
189-216 |
description |
<jats:p>Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.</jats:p> |
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author | Shanker, B., Nath, C.N., Shah, S.A., Reddy, P.M. |
author_facet | Shanker, B., Nath, C.N., Shah, S.A., Reddy, P.M., Shanker, B., Nath, C.N., Shah, S.A., Reddy, P.M. |
author_sort | shanker, b. |
container_issue | 1 |
container_start_page | 189 |
container_title | International Journal of Applied Mechanics and Engineering |
container_volume | 18 |
description | <jats:p>Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.</jats:p> |
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imprint_str_mv | University of Zielona Góra, Poland, 2013 |
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issn | 1734-4492, 2353-9003 |
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mega_collection | University of Zielona Góra, Poland (CrossRef) |
physical | 189-216 |
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publisher | University of Zielona Góra, Poland |
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series | International Journal of Applied Mechanics and Engineering |
source_id | 49 |
spelling | Shanker, B. Nath, C.N. Shah, S.A. Reddy, P.M. 1734-4492 2353-9003 University of Zielona Góra, Poland Fluid Flow and Transfer Processes Transportation Civil and Structural Engineering http://dx.doi.org/10.2478/ijame-2013-0013 <jats:p>Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.</jats:p> Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form International Journal of Applied Mechanics and Engineering |
spellingShingle | Shanker, B., Nath, C.N., Shah, S.A., Reddy, P.M., International Journal of Applied Mechanics and Engineering, Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form, Fluid Flow and Transfer Processes, Transportation, Civil and Structural Engineering |
title | Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_full | Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_fullStr | Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_full_unstemmed | Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_short | Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
title_sort | vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid in plane-strain form |
title_unstemmed | Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form |
topic | Fluid Flow and Transfer Processes, Transportation, Civil and Structural Engineering |
url | http://dx.doi.org/10.2478/ijame-2013-0013 |