Vibroacoustic response and damping analysis of a microperforated cylindrical shell
Abstract
Noise generated by vibrating cylindrical structures can be problematic in various engineering applications, particularly in electrical transformers and power coils, where low-frequency electromagnetic forces excite the lowest-order structural modes that effectively radiate sound. Conventional passive noise control strategies -such as viscoelastic treatments or acoustic foams -are often ineffective in the low-frequency range, add significant mass to the structure, or are poorly suited to harsh operating environments. Introducing perforations directly into the shell structure has recently emerged as a promising alternative, reducing sound radiation through acoustic short-circuiting of the internal cavity, but without accounting for the thermo-viscous losses within the perforations. However, current numerical approaches are computationally expensive and existing analytical models do not capture the thermo-viscous effects within the perforations nor the resulting structural damping. This paper presents an analytical model for microperforated cylindrical shells based on Biot's theory, describing the coupled dynamics of the solid shell, the fluid saturating the perforations, and the internal acoustic cavity. The model is validated against finite element simulations and a parametric study reveals that the perforation ratio and diameter act as independent tuning parameters controlling, respectively, the intensity of cavity attenuation and the frequency selectivity of the added structural damping. The analysis demonstrates that the orientation of fluid flow relative to the perforation axis is critical for damping effectiveness; specifically, radially dominated modes benefit most from viscous dissipation.
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BibTeX
@misc{gallerand2026vibroacoustic,
title = {{Vibroacoustic response and damping analysis of a microperforated cylindrical shell}},
author = {Lucie Gallerand and Paul Le Rouilly and Nicolas Dauchez and Philippe Leclaire and Thomas Dupont},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05735942v1},
note = {CC BY-NC 4.0},
}
RIS
TY - UNPB
TI - Vibroacoustic response and damping analysis of a microperforated cylindrical shell
AU - Lucie Gallerand
AU - Paul Le Rouilly
AU - Nicolas Dauchez
AU - Philippe Leclaire
AU - Thomas Dupont
PY - 2026
DA - 2026/09/02
PB - HAL
UR - https://hal.science/hal-05735942v1
AB - Noise generated by vibrating cylindrical structures can be problematic in various engineering applications, particularly in electrical transformers and power coils, where low-frequency electromagnetic forces excite the lowest-order structural modes that effectively radiate sound. Conventional passive noise control strategies -such as viscoelastic treatments or acoustic foams -are often ineffective in the low-frequency range, add significant mass to the structure, or are poorly suited to harsh operating environments. Introducing perforations directly into the shell structure has recently emerged as a promising alternative, reducing sound radiation through acoustic short-circuiting of the internal cavity, but without accounting for the thermo-viscous losses within the perforations. However, current numerical approaches are computationally expensive and existing analytical models do not capture the thermo-viscous effects within the perforations nor the resulting structural damping. This paper presents an analytical model for microperforated cylindrical shells based on Biot's theory, describing the coupled dynamics of the solid shell, the fluid saturating the perforations, and the internal acoustic cavity. The model is validated against finite element simulations and a parametric study reveals that the perforation ratio and diameter act as independent tuning parameters controlling, respectively, the intensity of cavity attenuation and the frequency selectivity of the added structural damping. The analysis demonstrates that the orientation of fluid flow relative to the perforation axis is critical for damping effectiveness; specifically, radially dominated modes benefit most from viscous dissipation.
ER -