Vibration of plates partially and totally immersed in fluid by the boundary element method

The Boundary Element Method is often used in the theory of plate bending. Considered problem is a coupled problem of the fluid-structure type. A plate is immersed partially or totally in the fluid (water). It is assumed that the fluid is inviscid and incompressible. The boundary and domain integral...

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Bibliographic Details
Main Authors: Guminiak, Michał, Sygulski, Ryszard
Format: Conference Proceeding
Language:English
Subjects:
Boundary element method
Computational fluid dynamics
Fluid flow
Hydrodynamic pressure
Incompressible flow
Integral equations
Mass matrix
Mathematical analysis
Nonlinear programming
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Summary:The Boundary Element Method is often used in the theory of plate bending. Considered problem is a coupled problem of the fluid-structure type. A plate is immersed partially or totally in the fluid (water). It is assumed that the fluid is inviscid and incompressible. The boundary and domain integral equations are used to describe the plate motion and the hydrodynamic pressure of the surrounding liquid. The set of constant boundary elements for a plate and internal collocation points associated with lumped masses associated with rectangular sub-surfaces are introduced. Present formulation leads to the fully populated liquid mass matrix, which is adjoined to a diagonal plate mass matrix.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0007819