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.
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July 1997
Research Papers
Three-Dimensional Vibrations of Cross-ply Laminated Hollow Cylinders With Clamped Edge Boundaries
J. Q. Ye,
J. Q. Ye
Department of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK
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K. P. Soldatos
K. P. Soldatos
Department of Theoretical Mechanics, University of Nottingham, Nottingham, NG7 2RD, U.K.
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J. Q. Ye
Department of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK
K. P. Soldatos
Department of Theoretical Mechanics, University of Nottingham, Nottingham, NG7 2RD, U.K.
J. Vib. Acoust. Jul 1997, 119(3): 317-323 (7 pages)
Published Online: July 1, 1997
Article history
Received:
November 1, 1994
Online:
February 26, 2008
Citation
Ye, J. Q., and Soldatos, K. P. (July 1, 1997). "Three-Dimensional Vibrations of Cross-ply Laminated Hollow Cylinders With Clamped Edge Boundaries." ASME. J. Vib. Acoust. July 1997; 119(3): 317–323. https://doi.org/10.1115/1.2889726
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