Added Viscous Damping in Microperforated Plates Within a Nonlinear Acoustic Regime
Bibliographic record
Abstract
Microperforated plates (MPPs) are simple systems, classically used for their acoustic absorption capabilities. Recent works by the authors have shown that MPPs feature added viscous damping in the low-frequency range. Energy dissipation occurs through viscous friction mechanisms in the boundary layers of the microperforations coupled with fluid-solid interactions, which results into added viscous damping in a solid dynamics context. The vibratory response of such systems is well captured through an ad-hoc homogenization procedure, which yields two coupled partial differential equations (PDEs) governing the dynamics of a structural plate and a virtual plate of fluid. It was shown that the added damping reaches a maximum at a characteristic frequency, which only depends on the perforation diameter. However, these systems, likely to be used in hostile environments such as aircraft turbines, are known to be sensitive to mechanical and/or acoustic excitation levels. Two non-linear regimes of interest can be identified: (i) a non-linearity induced by high fluid flow, and (ii) a non-linearity induced by high fluid flow along with large structural displacement. In the present work, only the first configuration is considered. As the fluid velocity in the perforations increases, inertial phenomena occur in the perforations which affect the response of the structure. These effects can be captured analytically by introducing the Forchheimer correction, which depends on the relative fluid-solid velocity. This correction arises as an antisymmetric quadratic damping term in one of the above PDEs. The latter are solved numerically and quantitative studies are performed on the sensitivity of added damping to the excitation level. The proposed model is validated by experiments performed on a cantilevered MPP. Analytical and experimental results suggest that the added viscous damping depends on the relative fluid-solid velocity. The added damping effect can reach a maximum for a critical value, with all other independent parameters fixed.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".