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Computational Mechanics

, Volume 53, Issue 4, pp 549–560 | Cite as

Sound transmission through a poroelastic layered panel

  • Loris Nagler
  • Ping Rong
  • Martin SchanzEmail author
  • Otto von Estorff
Original Paper

Abstract

Multi-layered panels are often used to improve the acoustics in cars, airplanes, rooms, etc. For such an application these panels include porous and/or fibrous layers. The proposed numerical method is an approach to simulate the acoustical behavior of such multi-layered panels. The model assumes plate-like structures and, hence, combines plate theories for the different layers. The poroelastic layer is modelled with a recently developed plate theory. This theory uses a series expansion in thickness direction with subsequent analytical integration in this direction to reduce the three dimensions to two. The same idea is used to model either air gaps or fibrous layers. The latter are modeled as equivalent fluid and can be handled like an air gap, i.e., a kind of ‘air plate’ is used. The coupling of the layers is done by using the series expansion to express the continuity conditions on the surfaces of the plates. The final system is solved with finite elements, where domain decomposition techniques in combination with preconditioned iterative solvers are applied to solve the final system of equations. In a large frequency range, the comparison with measurements shows very good agreement. From the numerical solution process it can be concluded that different preconditioners for the different layers are necessary. A reuse of the Krylov subspace of the iterative solvers pays if several excitations have to be computed but not that much in the loop over the frequencies.

Keywords

Poroelasticity Plate Iterative solver with recycling subspace Multilayered panels Sound transmission 

Notes

Acknowledgments

The authors gratefully acknowledge the financial support by a common project of the Austrian Science Fund (FWF, Grant No P18481-N13) and the German Research Foundation (DFG, Grant No ES 70/4-1). The material investigations of the porous blankets have been made by Rieter Management AG, Winterthur, Switzerland.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Loris Nagler
    • 1
  • Ping Rong
    • 2
  • Martin Schanz
    • 1
    Email author
  • Otto von Estorff
    • 3
  1. 1.Institute of Applied MechanicsGraz University of TechnologyGrazAustria
  2. 2.Department of Acoustics and VibrationsBMW GroupMunichGermany
  3. 3.Institute of Modelling and ComputationHamburg University of TechnologyHamburgGermany

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