Method based on Chebyshev polynomials theories for aeroservoelastic interactions studies on a F/A-18 aircraft
Bibliographic record
Abstract
A significant aspect of aeroservoelasticity is the conversion of unsteady aerodynamic forces from the frequency domain into the Laplace domain. Until now, the most popular methods used for these studies have been the Minimum State and the Least Square methods. The classical method is the Least Square method based on Pade polynomials approximations. We present a new method for these studies, based on Chebyshev polynomials and their orthogonality properties. Results obtained by this method are compared to results obtained by the Pade method. Two sets of results are presented for this comparison. The first shows the values of the aerodynamic forces in the Laplace domain and the second shows the flutter speeds and frequencies. In both cases, different approximation orders were used for comparison. The new method presented here shows very good results versus those obtained with the Pade method on the F/A-18 aircraft.
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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 | 0.000 | 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 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".