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A parametric model order reduction technique for poroelastic finite element models.

Ettore Lappano1, Markus Polanz1, Wim Desmet2

  • 1Department of NVH and Friction, Virtual Vehicle Research Center, Inffeldgasse 21A, Graz, 8010, Austria.

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This study introduces a new parametric model order reduction method for vibro-acoustic analysis of poroelastic materials (PEM). The approach efficiently captures frequency-dependent behavior and damping effects in complex systems.

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Area of Science:

  • Computational mechanics
  • Acoustics
  • Materials science

Background:

  • Vibro-acoustic analysis of systems with poroelastic materials (PEM) is computationally intensive.
  • Existing methods struggle to accurately model the nonlinear frequency dependence and damping effects inherent in PEM.

Purpose of the Study:

  • To develop a parametric model order reduction (MOR) approach for frequency-domain vibro-acoustic problems involving PEM.
  • To improve the efficiency and accuracy of simulating systems with poroelastic materials.

Main Methods:

  • Utilized a reduced basis (RB) method applied to the Finite Element (FE) discretization of the Biot-Allard theory for PEM.
  • Employed proper orthogonal decomposition (POD) to generate a global reduced-order basis for frequency-dependent systems.
  • Rewrote Biot-Allard FE equations using an affine representation of frequency to enable RB methods.

Main Results:

  • The proposed parametric MOR method effectively handles nonlinear frequency dependence and strong damping coupling in PEM.
  • Validated the methodology on two 3D systems, accurately predicting surface impedance and multilayer system behavior.
  • Demonstrated superior performance compared to standard modal approaches for these complex vibro-acoustic problems.

Conclusions:

  • The developed parametric MOR approach offers a computationally efficient and accurate solution for vibro-acoustic problems with PEM.
  • This method is well-suited for analyzing complex multilayer systems coupled with acoustic cavities.
  • The findings provide a valuable tool for the design and analysis of structures incorporating poroelastic materials.