Vibration analysis of circular annular plates subjected to peripheral rotating transverse loads
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Bibliographic record
Abstract
Vibration of a hollow circular plate subjected to a rotating peripheral force is analytically studied in this paper. Closed-form solutions are developed in a series form for the plate deflection as well as the distributions of the strain and stress. The Galerkin approach is adopted as the solution method and a finite element model has also been developed. Computer simulations were performed to verify the model and solution methods were adopted. Close agreement is observed when comparing the numerical results with those obtained from the analytical technique. The acoustic pressure field is eventually obtained in front of the vibrating plate surface using the Rayleigh integral method. The solution procedure presented and the numerical results obtained can be extensively utilized in the noise source separation. This has always been a significant challenge in many engineering applications such as the railway wheel-rail dynamics or that of the automotive gear trains.
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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 | 0.000 | 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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it