Coupled Multi-domain BEM And FEM For
Fluid-structure Interaction Analysis
Author(s)
V. Gnitko, V. Naumenko, U. Ogorodnyk & E. Strelnikova
Abstract
The method for dynamic analysis of shell structures interacting with a liquid is
presented in this paper. The coupled problem is solved using a combination of
reduced boundary and finite element methods. The axisymmetric structures, such
as compound shells of revolution with internal baffles and Francis turbine wheel,
are under consideration. The compound shell was the model of capacity for
liquid storage. The tank structure is modelled by the finite element method and
the fluid region is described by the direct boundary element method. The method
relies on determining the fluid pressure from the system of singular integral
equations using multi-domain approach. After applying the direct boundary
element formulation in every sub-domain, the final system of equations with
sparse matrix was obtained by use of matching conditions in the interfaces
between sub-domains. The shell is considered as thin one, and Kirghoff–Lave
linear theory hypotheses are applied. The liquid is ideal and incompressible.
Differential equations of transient problem are solved numerically by the Runge–
Kutta method of 4th and 5th order. Numerical investigations of free and forced
vibrations of the compound shells filled with the incompressible fluid under
different loadings have been carried out. The example of the shell structure in a
form of the Francis turbine sector is also under consideration. Here, a multidomain
approach was compared with the hypersingular integral equation
method.
Keywords: fluid-structure interaction, free and forced vibrations, boundary and
finite element methods, multi-domain approach.
Keywords
fluid-structure interaction, free and forced vibrations, boundary andfinite element methods, multi-domain approach
Related Book
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