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Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading
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Zeitschriftentitel: | Shock and Vibration |
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Personen und Körperschaften: | , |
In: | Shock and Vibration, 5, 1998, 5-6, S. 343-354 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
Hindawi Limited
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Schlagwörter: |
author_facet |
Ng, T.Y. Lam, K.Y. Ng, T.Y. Lam, K.Y. |
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author |
Ng, T.Y. Lam, K.Y. |
spellingShingle |
Ng, T.Y. Lam, K.Y. Shock and Vibration Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering |
author_sort |
ng, t.y. |
spelling |
Ng, T.Y. Lam, K.Y. 1070-9622 1875-9203 Hindawi Limited Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering http://dx.doi.org/10.1155/1998/898321 <jats:p>In this paper, a formulation for the dynamic stability analysis of circular cylindrical shells under axial compression with various boundary conditions is presented. The present study uses Love’s first approximation theory for thin shells and the characteristic beam functions as approximate axial modal functions. Applying the Ritz procedure to the Lagrangian energy expression yields a system of Mathieu–Hill equations the stability of which is analyzed using Bolotin’s method. The present study examines the effects of different boundary conditions on the parametric response of homogeneous isotropic cylindrical shells for various transverse modes and length parameters.</jats:p> Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading Shock and Vibration |
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10.1155/1998/898321 |
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Hindawi Limited, 1998 |
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Hindawi Limited, 1998 |
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1998 |
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Hindawi Limited |
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Shock and Vibration |
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title |
Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_unstemmed |
Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_full |
Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_fullStr |
Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_full_unstemmed |
Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_short |
Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_sort |
effects of boundary conditions on the parametric resonance of cylindrical shells under axial loading |
topic |
Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering |
url |
http://dx.doi.org/10.1155/1998/898321 |
publishDate |
1998 |
physical |
343-354 |
description |
<jats:p>In this paper, a formulation for the dynamic stability analysis of circular cylindrical shells under axial compression with various boundary conditions is presented. The present study uses Love’s first approximation theory for thin shells and the characteristic beam functions as approximate axial modal functions. Applying the Ritz procedure to the Lagrangian energy expression yields a system of Mathieu–Hill equations the stability of which is analyzed using Bolotin’s method. The present study examines the effects of different boundary conditions on the parametric response of homogeneous isotropic cylindrical shells for various transverse modes and length parameters.</jats:p> |
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author | Ng, T.Y., Lam, K.Y. |
author_facet | Ng, T.Y., Lam, K.Y., Ng, T.Y., Lam, K.Y. |
author_sort | ng, t.y. |
container_issue | 5-6 |
container_start_page | 343 |
container_title | Shock and Vibration |
container_volume | 5 |
description | <jats:p>In this paper, a formulation for the dynamic stability analysis of circular cylindrical shells under axial compression with various boundary conditions is presented. The present study uses Love’s first approximation theory for thin shells and the characteristic beam functions as approximate axial modal functions. Applying the Ritz procedure to the Lagrangian energy expression yields a system of Mathieu–Hill equations the stability of which is analyzed using Bolotin’s method. The present study examines the effects of different boundary conditions on the parametric response of homogeneous isotropic cylindrical shells for various transverse modes and length parameters.</jats:p> |
doi_str_mv | 10.1155/1998/898321 |
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id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8xOTk4Lzg5ODMyMQ |
imprint | Hindawi Limited, 1998 |
imprint_str_mv | Hindawi Limited, 1998 |
institution | DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Zwi2 |
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physical | 343-354 |
publishDate | 1998 |
publishDateSort | 1998 |
publisher | Hindawi Limited |
record_format | ai |
recordtype | ai |
series | Shock and Vibration |
source_id | 49 |
spelling | Ng, T.Y. Lam, K.Y. 1070-9622 1875-9203 Hindawi Limited Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering http://dx.doi.org/10.1155/1998/898321 <jats:p>In this paper, a formulation for the dynamic stability analysis of circular cylindrical shells under axial compression with various boundary conditions is presented. The present study uses Love’s first approximation theory for thin shells and the characteristic beam functions as approximate axial modal functions. Applying the Ritz procedure to the Lagrangian energy expression yields a system of Mathieu–Hill equations the stability of which is analyzed using Bolotin’s method. The present study examines the effects of different boundary conditions on the parametric response of homogeneous isotropic cylindrical shells for various transverse modes and length parameters.</jats:p> Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading Shock and Vibration |
spellingShingle | Ng, T.Y., Lam, K.Y., Shock and Vibration, Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading, Mechanical Engineering, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, Condensed Matter Physics, Civil and Structural Engineering |
title | Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_full | Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_fullStr | Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_full_unstemmed | Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_short | Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
title_sort | effects of boundary conditions on the parametric resonance of cylindrical shells under axial loading |
title_unstemmed | Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial Loading |
topic | Mechanical Engineering, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, Condensed Matter Physics, Civil and Structural Engineering |
url | http://dx.doi.org/10.1155/1998/898321 |