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Structural Engineering and Mechanics Volume 58, Number 6, June25 2016 , pages 1001-1020 DOI: https://doi.org/10.12989/sem.2016.58.6.1001 |
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Vibration analysis of a shear deformed anti-symmetric angle-ply conical shells with varying sinusoidal thickness |
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Saira Javed, K.K. Viswanathan, Z.A. Aziz and J.H. Lee
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| 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. | ||
| Key Words | ||
| vibration; anti-symmetric; conical shell; splines; thickness variation | ||
| Address | ||
| Saira Javed, K.K. Viswanathan, Z.A. Aziz: UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Ibnu SIna Institiute for Scientific & Industrial Research, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia; Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia J.H. Lee: Department of Naval Architecture & Oceon Engineering, Division of Mechanical Engineering, Inha University, Incheon 22212, South Korea | ||