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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries. / Ye, J Q ; Soldatos, K P .
In: Journal of Vibration and Acoustics, Vol. 119, No. 3, 07.1997, p. 317-323.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ye, JQ & Soldatos, KP 1997, 'Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries', Journal of Vibration and Acoustics, vol. 119, no. 3, pp. 317-323. https://doi.org/10.1115/1.2889726

APA

Ye, J. Q., & Soldatos, K. P. (1997). Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries. Journal of Vibration and Acoustics, 119(3), 317-323. https://doi.org/10.1115/1.2889726

Vancouver

Ye JQ, Soldatos KP. Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries. Journal of Vibration and Acoustics. 1997 Jul;119(3):317-323. doi: 10.1115/1.2889726

Author

Ye, J Q ; Soldatos, K P . / Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries. In: Journal of Vibration and Acoustics. 1997 ; Vol. 119, No. 3. pp. 317-323.

Bibtex

@article{d5adbfd232694c2090efad575a862958,
title = "Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries",
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.",
author = "Ye, {J Q} and Soldatos, {K P}",
year = "1997",
month = jul,
doi = "10.1115/1.2889726",
language = "English",
volume = "119",
pages = "317--323",
journal = "Journal of Vibration and Acoustics",
issn = "1048-9002",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "3",

}

RIS

TY - JOUR

T1 - Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries

AU - Ye, J Q

AU - Soldatos, K P

PY - 1997/7

Y1 - 1997/7

N2 - 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.

AB - 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.

U2 - 10.1115/1.2889726

DO - 10.1115/1.2889726

M3 - Journal article

VL - 119

SP - 317

EP - 323

JO - Journal of Vibration and Acoustics

JF - Journal of Vibration and Acoustics

SN - 1048-9002

IS - 3

ER -