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Published in:
2006 | OriginalPaper | Chapter
Vibrations of system of plates immersed in fluid by BEM
Authors : Michal Guminiak, Ryszard Sygulski
Published in: III European Conference on Computational Mechanics
Publisher: Springer Netherlands
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The vibrations problem of system of plates immersed in fluid is considered using the boundary element method. The vibrations of the system are transmitted by a fluid. This problem in hand is a coupled problem of the fluid — structure type [
1
], [
4
], [
5
]. The boundary integral equation is used for describing the plate motion and the hydrodynamic pressure of the surrounding liquid. The set of constant boundary elements for the plate and internal collocation points associated with lumped masses [
3
] and rectangular surfaces are used. To avoid calculation of singular integrals the source points are located slightly outside the plate boundary [
2
], [
6
], [
7
], [
8
], [
9
]. The direct version of BEM and the static fundamental solution of the Kirchhoff plate problem are used in the paper. The Betti’s theorem is used to derive the boundary integral equations for a plate in bending. This approach avoids the development of Kirchhoff forces at a plate corners and equivalent shear forces at a plate boundary [
6
], [
7
], [
8
], [
9
]. A system of plates is surrounded from all sides by the infinite fluid which is incompressible and inviscid. A fully populated hydrodynamic matrix is obtained [
4
], [
5
], [
7
], [
8
], [
9
]. The dimension of the problem is not increased by the addition of the fluid interaction. Free and harmonic vibrations of system of two plates were considered. Harmonic excitation force was located at the centre of single plate. Resonance curves were made for both of plates.