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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Main Authors: Viswanathan K.K., Karthik K., Sanyasiraju Y.V.S.S., Aziz Z.A.
Format: Article
Language:English
Published: De Gruyter 2016-11-01
Series:Curved and Layered Structures
Subjects:
Online Access:http://www.degruyter.com/view/j/cls.2016.3.issue-1/cls-2016-0020/cls-2016-0020.xml?format=INT
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spelling 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
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