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The prediction of the elastic critical load of submerged elliptical cylindrical shell based on the vibro-acoustic model

The prediction of the elastic critical load of submerged elliptical cylindrical shell based on the vibro-acoustic model
The prediction of the elastic critical load of submerged elliptical cylindrical shell based on the vibro-acoustic model
Based on the vibro-acoustical model, an effective new approach to nondestructively predict the elastic critical hydrostatic pressure of a submerged elliptical cylindrical shell is presented in this paper. Based on the Goldenveizer–Novozhilov thin shell theory, the vibration equations considering hydrostatic pressures of outer fluid are written in the form of a matrix differential equation which is obtained by using the transfer matrix of the state vector of the shell. The fluid-loading term is represented as the form of Mathieu function. The data of the fundamental natural frequencies of the various elliptical cylindrical shells with different hydrostatic pressure and boundary conditions are obtained by solving the frequency equation using Lagrange interpolation method. The curve of the fundamental natural frequency squared versus hydrostatic pressure is drawn, which is approximately straight line. The elastic critical hydrostatic pressure is therefore obtained while the fundamental natural frequency is assumed to be zero according to the curve. The results obtained by the present approach show good agreement with published results.
submerged elliptical cylindrical shells, critical hydrostatic pressure, ellipticity parameter, transfer matrix, nondestructive prediction
0263-8231
255-262
Li, T.Y.
6a82072e-862e-48b2-8d85-027745e5f428
Xiong, L.
5b07b8ba-385d-45ac-8386-8009b3f8ac62
Zhu, X.
d5a3b9f1-3cc1-4b1a-92e1-c88186fb4d9e
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Zhang, G.J.
1abb9cbe-7bbd-454c-9b70-d2fa36e4608b
Li, T.Y.
6a82072e-862e-48b2-8d85-027745e5f428
Xiong, L.
5b07b8ba-385d-45ac-8386-8009b3f8ac62
Zhu, X.
d5a3b9f1-3cc1-4b1a-92e1-c88186fb4d9e
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Zhang, G.J.
1abb9cbe-7bbd-454c-9b70-d2fa36e4608b

Li, T.Y., Xiong, L., Zhu, X., Xiong, Y.P. and Zhang, G.J. (2014) The prediction of the elastic critical load of submerged elliptical cylindrical shell based on the vibro-acoustic model. Thin-Walled Structures, 84, 255-262. (doi:10.1016/j.tws.2014.06.013).

Record type: Article

Abstract

Based on the vibro-acoustical model, an effective new approach to nondestructively predict the elastic critical hydrostatic pressure of a submerged elliptical cylindrical shell is presented in this paper. Based on the Goldenveizer–Novozhilov thin shell theory, the vibration equations considering hydrostatic pressures of outer fluid are written in the form of a matrix differential equation which is obtained by using the transfer matrix of the state vector of the shell. The fluid-loading term is represented as the form of Mathieu function. The data of the fundamental natural frequencies of the various elliptical cylindrical shells with different hydrostatic pressure and boundary conditions are obtained by solving the frequency equation using Lagrange interpolation method. The curve of the fundamental natural frequency squared versus hydrostatic pressure is drawn, which is approximately straight line. The elastic critical hydrostatic pressure is therefore obtained while the fundamental natural frequency is assumed to be zero according to the curve. The results obtained by the present approach show good agreement with published results.

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More information

e-pub ahead of print date: July 2014
Published date: November 2014
Keywords: submerged elliptical cylindrical shells, critical hydrostatic pressure, ellipticity parameter, transfer matrix, nondestructive prediction
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 367667
URI: http://eprints.soton.ac.uk/id/eprint/367667
ISSN: 0263-8231
PURE UUID: 432077c9-aae3-4cb3-a7b9-2d77cb94c0b6
ORCID for Y.P. Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 15 Aug 2014 09:01
Last modified: 31 Jul 2019 00:46

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Contributors

Author: T.Y. Li
Author: L. Xiong
Author: X. Zhu
Author: Y.P. Xiong ORCID iD
Author: G.J. Zhang

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