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Lam, K.Y.
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Lam, K.Y.
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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
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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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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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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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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