Abstract
A three-dimensional finite element model using the concept of the three-dimensional theory of elasticity is formulated for free-vibration analysis of laminated composite cylinders and cylindrical panels. The element has 18 nodes with three displacement and three stress components as nodal degrees of freedom. The stress components are on the r plane and therefore the continuity of these transverse stresses between the elements is maintained. Using Hamilton's principle, an eigenvalue problem is formulated. Natural frequencies are obtained by solving for the roots of this eigenvalue problem and mode shapes are the eigenvectors. Natural frequencies of a thick cylinder, a thin laminated cylindrical panel, and a thin cylindrical panel with square openings are presented to demonstrate the validity, accuracy, and applicability of the model. Free vibration of a thick laminated cylindrical panel with square openings is investigated.
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