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The modal damping for the vibro-acoustic system, including structural and fluid (acoustic) component, modal damping can be estimated by Modal Strain and Kinetic Energy method. Advantage of this method is to obtain modal damping without solving complex eigenvalue problem, which leads to reducing computation time and memory consumption. Our previous study of the MSKE method, u-u form finite element was used. Nodal displacement was selected as unknown variables for both the structure and fluid. It has advantage in terms of connecting structural and fluid region. Nodal displacements in structural and fluid region can be assembled on common node. Although selecting displacement as unknowns for fluid has some shortcomings. Since displacement is a vector quantity, memory consumption becomes higher compared to a scalar variable (i.e. sound pressure). And it sometimes generates spurious eigenmodes in fluid region. On the other hand, using u-p form finite element for vibro-acoustic problem, pressure is selected as unknowns for the fluid and displacement for the structure. This paper proposed the extended MSKE method for u-p form finite element method. We present that proposed method can represent modal damping as the same form of the conventional MSKE method. Also computational accuracy for the vibro-acoustic problem is validated via experiment. Structure–borne sound in a room was predicted by proposed method and compared to experimental results. Frequency response of the transfer function (sound pressure / force) agreed reasonably with the experimental results.
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