TY - GEN

T1 - Meaning of admittance boundary condition explained on an analytical example of structure fluid coupling

AU - Marburg, Steffen

AU - Anderssohn, Robert

AU - Hardtke, Hans Juergen

PY - 2010

Y1 - 2010

N2 - Simulation techniques in the linear acoustics of rooms with arbitrary geometry often lack sufficient knowledge about the dynamics of the surrounding walls. But the latter effect the sound distribution significantly. This is why boundary value problems (BVP) of fully coupled structure fluid systems should be solved. Unless one transforms the discretized form of this BVP into a system of only the sound pressure by means of the Schur complement. This produces a fully occupied coupling admittance matrix within this formulation. Out of sound pressure data it is certainly difficult to reproduce all entries of this matrix. Due to this fact the authors introduce an approximation for the coupling admittance by defining local admittance values on the boundary. This boundary condition type causes a simplification of the coupling admittance matrix. It is demonstrated on a simple structure fluid coupled system whose analytical equations are arranged in a matrix form matching a standard BEM-FEM formulation, followed by a short discussion about its applicability. Copyright

AB - Simulation techniques in the linear acoustics of rooms with arbitrary geometry often lack sufficient knowledge about the dynamics of the surrounding walls. But the latter effect the sound distribution significantly. This is why boundary value problems (BVP) of fully coupled structure fluid systems should be solved. Unless one transforms the discretized form of this BVP into a system of only the sound pressure by means of the Schur complement. This produces a fully occupied coupling admittance matrix within this formulation. Out of sound pressure data it is certainly difficult to reproduce all entries of this matrix. Due to this fact the authors introduce an approximation for the coupling admittance by defining local admittance values on the boundary. This boundary condition type causes a simplification of the coupling admittance matrix. It is demonstrated on a simple structure fluid coupled system whose analytical equations are arranged in a matrix form matching a standard BEM-FEM formulation, followed by a short discussion about its applicability. Copyright

UR - http://www.scopus.com/inward/record.url?scp=84869145510&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84869145510

SN - 9781617827457

T3 - 20th International Congress on Acoustics 2010, ICA 2010 - Incorporating Proceedings of the 2010 Annual Conference of the Australian Acoustical Society

SP - 1357

EP - 1359

BT - 20th International Congress on Acoustics 2010, ICA 2010 - Incorporating Proceedings of the 2010 Annual Conference of the Australian Acoustical Society

T2 - 20th International Congress on Acoustics 2010, ICA 2010 - Incorporating the 2010 Annual Conference of the Australian Acoustical Society

Y2 - 23 August 2010 through 27 August 2010

ER -