LOW FREQUENCY VIBRATIONS OF A THIN CYLINDRICAL SHELL JOINED WITH AN ANNULAR THIN PLATE
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Bibliographic record
Abstract
The low frequencies and vibration modes of a thin cylindrical shell joined with an annular thin plate are obtained in this paper by means of asymptotic and numerical methods. If the annulus is wide then the low-frequency vibrations are axisymmetric. For this case a new approximate approach is developed for the evaluation of the low frequencies. If the annulus is narrow, the low-frequency vibrations are non-axisymmetric, the narrow annulus is considered as a circular beam. The equations describing the vibrations of the cylindrical shell stiffened by a circular beam are solved with the help of asymptotic techniques. The asymptotic results are in good agreement with the numerical results obtained by sweep and finite element methods.
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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