Techno Press
Techno Press

Steel and Composite Structures   Volume 22, Number 6, December30 2016, pages 1281-1299
DOI: http://dx.doi.org/10.12989/scs.2016.22.6.1281
 
Vibration of antisymmetric angle-ply laminated plates under higher order shear theory
Saira Javed, K.K. Viswanathan, Z.A. Aziz, K. Karthik and J.H. Lee

 
Abstract     [Full Text]
    This paper deals with the analysis of vibration of antisymmetric angle-ply plates using spline method for higher order shear theory. Free vibration of laminated plates is addressed to show the capability of the present method in the vicinity of higher order shear deformation theory and simply supported edges of plates. The coupled differential equations are obtained in terms displacement and rotational functions. These displacement and rotational functions are approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The antisymmetric angle-ply fiber orientation are taken as design variables. Numerical results enable us to examine the frequencies for various geometric and material parameters and accuracy and effectiveness of the proposed method is also verified by comparative study.
 
Key Words
    antisymmetric angle-ply; free vibration; shear deformation theory; spline approximation; eigenvalue
 
Address
(1) Saira Javed, K.K. Viswanathan, Z.A. Aziz, K. Karthik:
UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Ibnu Sina Institiute for Scientific & Industrial Research, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia;
(2) Saira Javed, K.K. Viswanathan, Z.A. Aziz, K. Karthik:
Department of Mathematical Sciences, Faculty of Science Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia;
(3) K.K. Viswanathan:
Kuwait College of Science and Technology, Doha Area, 7th Ring Road, P.O. Box No. 27235, Safat 13133, Kuwait;
(4) J.H. Lee:
Department of Naval Architecture & Ocean Engineering, Inha University, Incheon, South Korea.
 

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