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Vibrations of cylindrical pipes and open shells

Vibrations of cylindrical pipes and open shells
Vibrations of cylindrical pipes and open shells
The theory of vibrations in cylindrical pipes within the context of thin shell theory is reviewed. Beginning with a summary of the thin shell equations of motion and their application to cylindrical shells, solutions are obtained for a specific example of a typical pipe for each of several thin shell theories including: Donnell's theory, Love's theory and an improved theory which includes the effects of rotary inertia and transverse shear. For comparison, finite element (FE) models of the pipe are also constructed. To investigate the effect of shell curvature on the thin shell equations, various models of open shells evolving from a curved plate are also examined. The FE results are shown to agree well with those from the improved theory over the range of frequencies studied (the lowest 15–20 modes), though the time for their computation when using commercial FE software is three orders of magnitude longer.
0022-460X
361-387
Price, N.M.
2fcdacfe-03b6-43be-8f5c-d2a68489afed
Liu, M.
80d30112-2527-4dfb-830f-0b8a70ddb929
Eatock Taylor, R.
277203b5-7c8a-4f86-938f-e5f4b5093fa3
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def
Price, N.M.
2fcdacfe-03b6-43be-8f5c-d2a68489afed
Liu, M.
80d30112-2527-4dfb-830f-0b8a70ddb929
Eatock Taylor, R.
277203b5-7c8a-4f86-938f-e5f4b5093fa3
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def

Price, N.M., Liu, M., Eatock Taylor, R. and Keane, A.J. (1998) Vibrations of cylindrical pipes and open shells. Journal of Sound and Vibration, 218 (3), 361-387. (doi:10.1006/jsvi.1998.1862).

Record type: Article

Abstract

The theory of vibrations in cylindrical pipes within the context of thin shell theory is reviewed. Beginning with a summary of the thin shell equations of motion and their application to cylindrical shells, solutions are obtained for a specific example of a typical pipe for each of several thin shell theories including: Donnell's theory, Love's theory and an improved theory which includes the effects of rotary inertia and transverse shear. For comparison, finite element (FE) models of the pipe are also constructed. To investigate the effect of shell curvature on the thin shell equations, various models of open shells evolving from a curved plate are also examined. The FE results are shown to agree well with those from the improved theory over the range of frequencies studied (the lowest 15–20 modes), though the time for their computation when using commercial FE software is three orders of magnitude longer.

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Published date: 1998

Identifiers

Local EPrints ID: 21224
URI: http://eprints.soton.ac.uk/id/eprint/21224
ISSN: 0022-460X
PURE UUID: 3d4c5482-868e-4faa-9530-7662abf6dd5b

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Date deposited: 14 Mar 2006
Last modified: 02 Dec 2019 19:37

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Contributors

Author: N.M. Price
Author: M. Liu
Author: R. Eatock Taylor
Author: A.J. Keane

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