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Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries

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<mark>Journal publication date</mark>07/1997
<mark>Journal</mark>Journal of Vibration and Acoustics
Issue number3
Number of pages7
Pages (from-to)317-323
Publication StatusPublished
<mark>Original language</mark>English


Using fully three-dimensional elasticity considerations, this paper presents a free vibration analysis of cross-ply laminated hollow cylinders having clamped edge boundaries. The analysis is based on a recursive solution that has been published elsewhere and is suitable for three-dimensional vibration analysis of corresponding simply supported cylinders. Clamped boundary conditions are initially imposed by means of a number of fixed circles located at the edge(s) of the cylinder considered. Using certain dynamic considerations together with the Lagrange multipliers method, this is achieved by suitably coupling a certain number of different normal modes of vibration of the corresponding simply supported cylinder Hence, an approximate solution, which however is practically very close to the exact three-dimensional solution, is finally obtained by appropriately increasing either the number of the coupled vibration modes or the number of fixed circles on a clamped edge.