Flexibility in the choice of Green's function for the boundary element method

1994 ◽  
Vol 42 (10) ◽  
pp. 1973-1977 ◽  
Author(s):  
The-Nan Chang ◽  
Yung Chang Sze
Keyword(s):  
Boundary Element Method ◽  
Green’S Function ◽  
Boundary Element ◽  
Green's Function ◽  
Element Method

The Modified Boundary Element Method for Vibration and Sound Radiation Prediction of Fluid-Loaded Structures

1995 ◽  
Author(s):  
Michael V. Bernblit
Keyword(s):  
Boundary Element Method ◽  
Green’S Function ◽  
Boundary Element ◽  
Green's Function ◽  
Surface Pressure ◽  
Control Point ◽  
Normal Component ◽  
Surface Velocity ◽  
Fluid Loading ◽  
Element Method

Abstract The objective of this study is to modify the conventional Boundary Element Method (BEM) to enable rigorous account of fluid loading. For this purpose the two-level BEM has been developed which allows to split structural and acoustical phases of the problem into two sequential stages. At first step fluid loading is ignored and the in-vacuo normal component of the surface velocity and structural Green’s function are calculated. Then surface pressure distribution is computed from the modified Boundary Integra] Equation with perturbated kernel. Secondly, vibration velocity of fluid-loaded surface is calculated using convolution of the surface pressure and the in-vacuo Green’s function. After that sound pressure is predicted for any control point by Helmholtz formula. The method is applied for volume and planar fluid-loaded radiators as well as to sound scattering by elastic bodies.

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