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A mixed finite element method for the dynamic analysis of coupled fluid-solid interaction problems

A mixed finite element method for the dynamic analysis of coupled fluid-solid interaction problems
A mixed finite element method for the dynamic analysis of coupled fluid-solid interaction problems
On the basis of a variational principle, a mixed finite element approach is developed to describe the linear dynamics of coupled fluid-structure interactions. The variables of acceleration in the elastic solid and pressure in the fluid are adopted as the arguments of the variational principle. These are chosen since they directly relate to many practical fluid-structure interaction dynamic problems involving free surface disturbances, e.g. a dam-water system, a fuel cell in an aircraft, etc. Matrix equations describing the motions are presented and four methods of solution discussed, each simplifying and approximating the matrix equations for easier application to solve various types of engineering problems. This is demonstrated by analysing a selection of fluid-structure interaction problems of practical interest. The examples illustrate the general principle and application of the described functional approach without need to resort to more complex dynamic problems which can be analysed in a similar manner.
0962-8444
235-255
Xing, Jing-Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Xing, Jing-Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Xing, Jing-Tang and Price, W.G. (1991) A mixed finite element method for the dynamic analysis of coupled fluid-solid interaction problems. Proceedings of the Royal Society: Mathematical and Physical Sciences, 433 (1888), 235-255. (doi:10.1098/rspa.1991.0045).

Record type: Article

Abstract

On the basis of a variational principle, a mixed finite element approach is developed to describe the linear dynamics of coupled fluid-structure interactions. The variables of acceleration in the elastic solid and pressure in the fluid are adopted as the arguments of the variational principle. These are chosen since they directly relate to many practical fluid-structure interaction dynamic problems involving free surface disturbances, e.g. a dam-water system, a fuel cell in an aircraft, etc. Matrix equations describing the motions are presented and four methods of solution discussed, each simplifying and approximating the matrix equations for easier application to solve various types of engineering problems. This is demonstrated by analysing a selection of fluid-structure interaction problems of practical interest. The examples illustrate the general principle and application of the described functional approach without need to resort to more complex dynamic problems which can be analysed in a similar manner.

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More information

Published date: 1991
Additional Information: Cited by International Aerospace Abstracts A92-12339, p0217, vol.32 (1992); Physics Abstracts 97417 vol.94 (1991)

Identifiers

Local EPrints ID: 22159
URI: http://eprints.soton.ac.uk/id/eprint/22159
ISSN: 0962-8444
PURE UUID: b840f45a-3215-4f46-abe2-6d0a549305cd

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Date deposited: 30 Jan 2007
Last modified: 15 Mar 2024 06:35

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