The Dynamics of Cantilevered Flexible Plates in Axial Flow
Bibliographic record
Abstract
A theoretical and experimental study has been conducted to investigate the dynamics of cantilevered flexible plates in axial flow. In this paper, a nonlinear equation of motion of plate based on the inextensibility assumption, coupled with an unsteady lumped vortex model for the aerodynamic part is used to analyze the dynamical behaviour of this fluid-structure system theoretically. Experiments have been conducted in a 3 ft × 2 ft wind tunnel, using polypropylene carbonate films, thin brass plates, polyester sheets, and type 304 stainless steel sheets, with maximum dimensions 22.4 cm × 16.8 cm. In the experiments, time traces, PSDs, phase-plane plots, Poincare´ maps, PDFs, and autocorrelations are used to characterize the motions of the system. Periodic, period-doubling and chaotic oscillations have been observed. In the experiments, flutter arises via a subcritical bifurcation accompanied by hysteresis for low aspect ratio plates; the hysteresis disappears for large aspect ratio plates. The hysteresis phenomenon is considered to be due to three-dimensional bending of the plates. Furthermore, for flow velocities in the hysteresis loop, the stable plate subjected to a small external disturbance will flutter with the same amplitude limit cycle oscillation as self-excited oscillation at the same flow velocity. The experimental critical velocities for flutter onset are in good qualitative and quantitative agreement with the theoretically predicted values.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".