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

Ye, J Q and Soldatos, K P (1997) Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries. Journal of vibration and acoustics-Transactions of the asme, 119 (3). pp. 317-323. ISSN 1048-9002

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Abstract

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.

Item Type: Article
Journal or Publication Title: Journal of vibration and acoustics-Transactions of the asme
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: Faculty of Science and Technology > Engineering
ID Code: 54261
Deposited By: ep_importer_pure
Deposited On: 17 May 2012 14:46
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 23:27
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/54261

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