Vibration of antisymmetric angle-ply composite annular plates of variable thickness
Based on first order shear deformation theory, free vibrational behaviour of antisymmetric angle-ply composite annular plate is investigated. The thickness variations are assumed to be linear, exponential and sinusoidal along the radial direction. The equilibrium equations are obtained from which th...
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Korean Society of Industrial Engineering Chemistry
2018
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my.utm.850732020-02-29T13:40:38Z http://eprints.utm.my/id/eprint/85073/ Vibration of antisymmetric angle-ply composite annular plates of variable thickness A. K., Nor Hafizah Viswanathan, K. K. Aziz, Z. A. Lee, J. H. QA Mathematics Based on first order shear deformation theory, free vibrational behaviour of antisymmetric angle-ply composite annular plate is investigated. The thickness variations are assumed to be linear, exponential and sinusoidal along the radial direction. The equilibrium equations are obtained from which the coupled differential equations are derived in terms of displacement and rotation functions. These functions are approximated using splines to obtain the system of algebraic equations in terms of spline coefficients where the equation becomes a generalized eigenvalue problem by combining the boundary conditions. This problem is solved for finding eigenfrequencies and corresponding eigenvectors. This study is conducted for clamped-clamped and clamped-free boundary conditions. Detailed parametric investigation is carried out to determine the influences of radii ratio, number of layers, ply orientations and materials on the frequencies of plates. The primary results of this study are compared with those available in the literatures. Korean Society of Industrial Engineering Chemistry 2018-05 Article PeerReviewed A. K., Nor Hafizah and Viswanathan, K. K. and Aziz, Z. A. and Lee, J. H. (2018) Vibration of antisymmetric angle-ply composite annular plates of variable thickness. Journal of Mechanical Science and Technology, 32 (5). pp. 2155-2162. ISSN 1738-494X http://dx.doi.org/10.1007/s12206-018-0424-1 |
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QA Mathematics A. K., Nor Hafizah Viswanathan, K. K. Aziz, Z. A. Lee, J. H. Vibration of antisymmetric angle-ply composite annular plates of variable thickness |
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Based on first order shear deformation theory, free vibrational behaviour of antisymmetric angle-ply composite annular plate is investigated. The thickness variations are assumed to be linear, exponential and sinusoidal along the radial direction. The equilibrium equations are obtained from which the coupled differential equations are derived in terms of displacement and rotation functions. These functions are approximated using splines to obtain the system of algebraic equations in terms of spline coefficients where the equation becomes a generalized eigenvalue problem by combining the boundary conditions. This problem is solved for finding eigenfrequencies and corresponding eigenvectors. This study is conducted for clamped-clamped and clamped-free boundary conditions. Detailed parametric investigation is carried out to determine the influences of radii ratio, number of layers, ply orientations and materials on the frequencies of plates. The primary results of this study are compared with those available in the literatures. |
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Article |
author |
A. K., Nor Hafizah Viswanathan, K. K. Aziz, Z. A. Lee, J. H. |
author_facet |
A. K., Nor Hafizah Viswanathan, K. K. Aziz, Z. A. Lee, J. H. |
author_sort |
A. K., Nor Hafizah |
title |
Vibration of antisymmetric angle-ply composite annular plates of variable thickness |
title_short |
Vibration of antisymmetric angle-ply composite annular plates of variable thickness |
title_full |
Vibration of antisymmetric angle-ply composite annular plates of variable thickness |
title_fullStr |
Vibration of antisymmetric angle-ply composite annular plates of variable thickness |
title_full_unstemmed |
Vibration of antisymmetric angle-ply composite annular plates of variable thickness |
title_sort |
vibration of antisymmetric angle-ply composite annular plates of variable thickness |
publisher |
Korean Society of Industrial Engineering Chemistry |
publishDate |
2018 |
url |
http://eprints.utm.my/id/eprint/85073/ http://dx.doi.org/10.1007/s12206-018-0424-1 |
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1662754347418648576 |
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13.160551 |