Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary Conditions
Two type of numerical approach namely, Radial Basis Function and Spline approximation, used to analyse the free vibration of anti-symmetric angle-ply laminated plates under clamped boundary conditions. The equations of motion are derived using YNS theory under first order shear deformation. By assum...
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doaj-97b99fa565f64941878b77d50cf885962020-11-24T22:08:46ZengDe GruyterCurved and Layered Structures2353-73962016-11-013110.1515/cls-2016-0020cls-2016-0020Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary ConditionsViswanathan K.K.0Karthik K.1Sanyasiraju Y.V.S.S.2Aziz Z.A.3UTM Centre for Industrial and Applied Mathematics, Dept. of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MalaysiaUTM Centre for Industrial and Applied Mathematics, Dept. of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MalaysiaDepartment of Mathematics, Indian Institute of Technology Madras, Chennai, IndiaUTM Centre for Industrial and Applied Mathematics, Dept. of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MalaysiaTwo type of numerical approach namely, Radial Basis Function and Spline approximation, used to analyse the free vibration of anti-symmetric angle-ply laminated plates under clamped boundary conditions. The equations of motion are derived using YNS theory under first order shear deformation. By assuming the solution in separable form, coupled differential equations obtained in term of mid-plane displacement and rotational functions. The coupled differential is then approximated using Spline function and radial basis function to obtain the generalize eigenvalue problem and parametric studies are made to investigate the effect of aspect ratio, length-to-thickness ratio, number of layers, fibre orientation and material properties with respect to the frequency parameter. Some results are compared with the existing literature and other new results are given in tables and graphs.http://www.degruyter.com/view/j/cls.2016.3.issue-1/cls-2016-0020/cls-2016-0020.xml?format=INTFree vibration laminated plate antisymmetric angle-ply splines radial basis function |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Viswanathan K.K. Karthik K. Sanyasiraju Y.V.S.S. Aziz Z.A. |
spellingShingle |
Viswanathan K.K. Karthik K. Sanyasiraju Y.V.S.S. Aziz Z.A. Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary Conditions Curved and Layered Structures Free vibration laminated plate antisymmetric angle-ply splines radial basis function |
author_facet |
Viswanathan K.K. Karthik K. Sanyasiraju Y.V.S.S. Aziz Z.A. |
author_sort |
Viswanathan K.K. |
title |
Free Vibration Study of Anti-Symmetric Angle-Ply
Laminated Plates under Clamped Boundary
Conditions |
title_short |
Free Vibration Study of Anti-Symmetric Angle-Ply
Laminated Plates under Clamped Boundary
Conditions |
title_full |
Free Vibration Study of Anti-Symmetric Angle-Ply
Laminated Plates under Clamped Boundary
Conditions |
title_fullStr |
Free Vibration Study of Anti-Symmetric Angle-Ply
Laminated Plates under Clamped Boundary
Conditions |
title_full_unstemmed |
Free Vibration Study of Anti-Symmetric Angle-Ply
Laminated Plates under Clamped Boundary
Conditions |
title_sort |
free vibration study of anti-symmetric angle-ply
laminated plates under clamped boundary
conditions |
publisher |
De Gruyter |
series |
Curved and Layered Structures |
issn |
2353-7396 |
publishDate |
2016-11-01 |
description |
Two type of numerical approach namely, Radial
Basis Function and Spline approximation, used to analyse
the free vibration of anti-symmetric angle-ply laminated
plates under clamped boundary conditions. The equations
of motion are derived using YNS theory under first order
shear deformation. By assuming the solution in separable
form, coupled differential equations obtained in
term of mid-plane displacement and rotational functions.
The coupled differential is then approximated using Spline
function and radial basis function to obtain the generalize
eigenvalue problem and parametric studies are made to investigate
the effect of aspect ratio, length-to-thickness ratio,
number of layers, fibre orientation and material properties
with respect to the frequency parameter. Some results
are compared with the existing literature and other
new results are given in tables and graphs. |
topic |
Free vibration laminated plate antisymmetric angle-ply splines radial basis function |
url |
http://www.degruyter.com/view/j/cls.2016.3.issue-1/cls-2016-0020/cls-2016-0020.xml?format=INT |
work_keys_str_mv |
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