An efficient model order reduction of frequency-dependent double panel systems

• Published in: The Journal of the Acoustical Society of America Vol. 146; no. 4; p. 3007
• Main Authors: Cavalheiro, Thiago, Lenzi, Marcos S., Martins, Gustavo C., Lenzi, Arcanjo
• Format: Journal Article
• Language: English
• Published: 01-10-2019
• ISSN: 0001-4966; 1520-8524
• DOI: 10.1121/1.5137413

This paper treats a typical industrial vibroacoustic problem, consisting of a double panel under forced vibration which radiates to the far-field. A finite element model is proposed, where both structural links and porous material are represented as equivalent models. The addition of frequency-dependent elements, as mechanical links and porous material in the cavity, leads to a balance between airborne and structural-borne transmission through panels in the mid-frequency range, which demands a suitable model to represent these phenomena. In order to cope with such large-scale models, a dedicated parametric model order reduction is proposed. The frequency-dependent terms are separated from the system matrices, allowing an offline reduction of the system. The Second-Order Arnoldi procedure is employed to calculate the reduced bases at multiple frequencies, chosen by a rational interpolation scheme. The expansion frequencies are selected by a novel adaptive windowing algorithm, which aims at minimizing the number of frequencies within the frequency range. The proposed approach has shown to be effective in reducing significantly the computational time while maintaining precision compared to the direct method.