Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods

TL;DR

This paper compares structure-preserving model reduction techniques based on interpolation and balancing for vibro-acoustic systems, demonstrating their effectiveness in efficiently approximating frequency response analyses of complex models.

Contribution

It provides a comparative analysis of rational interpolation and balanced truncation methods tailored for second-order vibro-acoustic models with frequency-dependent properties.

Findings

Interpolation methods effectively preserve system structure.

Balanced truncation offers accurate reduced models for vibro-acoustic systems.

Both methods significantly reduce computational cost for frequency response analysis.

Abstract

Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so model order reduction methods are employed to compute cheap-to-evaluate surrogates. This work compares structure-preserving model reduction methods based on rational interpolation and balanced truncation with a specific focus on their applicability to vibro-acoustic systems. Such models typically exhibit a second-order structure and their material properties as well as their excitation may be depending on the driving frequency. We show and compare the effectiveness of all considered methods by applying them to numerical models of vibro-acoustic systems depicting structural vibration, sound transmission, acoustic scattering, and poroelastic problems.