Model Comparisons of a Partially Strengthened Flexible Beam
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Bibliographic record
Abstract
In this paper, three modelling theories for a partially strengthened beam are compared. The effect of an actuator with large force capability on the natural frequencies and mode shapes of the beam is studied. More specifically, three modelling techniques, namely Euler–Bernoulli, Rayleigh–Ritz, Timoshenko beam theories in conjunction with the generalized Hamilton's principle are utilized to derive the equation of motion and the boundary conditions of a partially actuated beam. The effect of the actuator is considered as an external torque on the sub-boundary conditions. A solution for the resulting equations for each modelling technique is obtained and a model of the beam strengthened with the actuator is derived. To evaluate the accuracy of each model, simulation results are compared to those experimentally obtained from a beam.
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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