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http://dx.doi.org/10.12989/sem.2016.58.6.1001

Vibration analysis of a shear deformed anti-symmetric angle-ply conical shells with varying sinusoidal thickness  

Javed, Saira (UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Ibnu SIna Institiute for Scientific & Industrial Research, Universiti Teknologi Malaysia)
Viswanathan, K.K. (UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Ibnu SIna Institiute for Scientific & Industrial Research, Universiti Teknologi Malaysia)
Aziz, Z.A. (UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Ibnu SIna Institiute for Scientific & Industrial Research, Universiti Teknologi Malaysia)
Lee, J.H. (Department of Naval Architecture & Oceon Engineering, Division of Mechanical Engineering, Inha University)
Publication Information
Structural Engineering and Mechanics / v.58, no.6, 2016 , pp. 1001-1020 More about this Journal
Abstract
The study is to investigate the free vibration of antisymmetric angle-ply conical shells having non-uniform sinusoidal thickness variation. The arbitrarily varying thickness is considered in the axial direction of the shell. The vibrational behavior of shear deformable conical shells is analyzed for three different support conditions. The coupled differential equations in terms displacement and rotational functions are obtained. These displacement and rotational functions are invariantly approximated using cubic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration characteristic of the shells is examined for cone angle, aspect ratio, sinusoidal thickness variation, layer number, stacking sequence, and boundary conditions.
Keywords
vibration; anti-symmetric; conical shell; splines; thickness variation;
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