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In this work new techniques for vibro-acoustic simulation of layered poroelastic shell structures andthe surrounding fluid are developed. A Finite Element Method for the shell is coupled with aMethod of Fundamental Solutions for bounded and unbounded fluid domains.

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In this volume a numerical method for the vibro-acoustic simulation of poroelastic shells is developed. The proposed method can be used to investigate arbitrary curved layered panels, as well as their interaction with the surrounding air. The geometry of the shell is given by a parametrically or implicitly defined reference surface. The parametric variant can be used for arbitrarily given parametrizations where the parameter domain consists of rectangles. In the case of the implicit variant, the reference surface is parametrized without geometry error over a triangulation. Typically, an acoustic panel consists of a number of layers with different properties. In the present work, porous layers are modeled by the Biot theory, whereas stiff layers can be modeled by the theory of elasticity. Due to this heterogeneous material layup, the though-the-thickness variation of the shell displacement and the filling fluid pressure are described layer-wise. The two-dimensional problem on the reference surface is discretized by a high order Finite Element Method. In order to avoid the meshing of the surrounding air, a variational variant of the Method of Fundamental Solutions is developed. Both methods are combined for the simulation of coupled vibro-acoustic problems.

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