The University of Southampton
University of Southampton Institutional Repository

Natural vibration of two-dimensional slender structure-water interaction systems subject to Sommerfeld radiation condition

Natural vibration of two-dimensional slender structure-water interaction systems subject to Sommerfeld radiation condition
Natural vibration of two-dimensional slender structure-water interaction systems subject to Sommerfeld radiation condition
The dynamic behaviour of 2-dimensional flexible slender structure-water interaction systems subject to a Sommerfeld radiation condition at the infinity boundary of the water domain is investigated. A new parameter, the speed of radiation wave, is introduced into the Sommerfeld radiation condition to consider the influences of both of the pressure wave and the free surface wave of the water, which is an extension of the original Sommerfeld condition. The governing equations describing the dynamic behaviour of the system are analysed and solved using a separation of variables method. It is demonstrated that the natural vibration of the 2-dimensional slender structure-water interaction system subject to a Sommerfeld radiation condition is governed by a complex eigenvalue equation which has only pairs of complex conjugate eigenvalues. The number of the pairs of complex conjugate natural frequencies equals the number of the natural modes of the corresponding dry structure and is independent of the continuous fluid domain which has infinite degrees of freedom. The examples, including four cases of shallow water, deep water, no free surface wave and incompressible water, demonstrate and illustrate the developed theoretical and numerical method.
Sommerfeld system, complex natural frequencies, slender structure-water interaction, energy dissipative system, speed of radiation wave
0022-460X
67-79
Xing, Jing Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xing, Jing Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce

Xing, Jing Tang (2007) Natural vibration of two-dimensional slender structure-water interaction systems subject to Sommerfeld radiation condition. Journal of Sound and Vibration, 308 (1-2), 67-79. (doi:10.1016/j.jsv.2007.07.009).

Record type: Article

Abstract

The dynamic behaviour of 2-dimensional flexible slender structure-water interaction systems subject to a Sommerfeld radiation condition at the infinity boundary of the water domain is investigated. A new parameter, the speed of radiation wave, is introduced into the Sommerfeld radiation condition to consider the influences of both of the pressure wave and the free surface wave of the water, which is an extension of the original Sommerfeld condition. The governing equations describing the dynamic behaviour of the system are analysed and solved using a separation of variables method. It is demonstrated that the natural vibration of the 2-dimensional slender structure-water interaction system subject to a Sommerfeld radiation condition is governed by a complex eigenvalue equation which has only pairs of complex conjugate eigenvalues. The number of the pairs of complex conjugate natural frequencies equals the number of the natural modes of the corresponding dry structure and is independent of the continuous fluid domain which has infinite degrees of freedom. The examples, including four cases of shallow water, deep water, no free surface wave and incompressible water, demonstrate and illustrate the developed theoretical and numerical method.

Full text not available from this repository.

More information

Published date: 2007
Keywords: Sommerfeld system, complex natural frequencies, slender structure-water interaction, energy dissipative system, speed of radiation wave
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 48032
URI: http://eprints.soton.ac.uk/id/eprint/48032
ISSN: 0022-460X
PURE UUID: 7826e75c-644e-49ce-8f84-81bd27a6b673

Catalogue record

Date deposited: 24 Aug 2007
Last modified: 13 Mar 2019 20:58

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×