On the controllability and observability of flexible beams under rigid-body motion
Bibliographic record
Abstract
The authors consider the transverse vibrational control of a single flexible beam undergoing large planar rotational motion. The beam is modeled using a cubic spline technique, which approximates the linearly elastic, continuous beam with a finite number of nodal points. This spatial discretization method provides a useful linear relationship between displacement and curvature, which allows the use of strain gages to measure curvature along the beam. It is shown that kinetic boundary conditions such as those associated with tip loads can be included in the cubic spline model. An optimal control strategy is used to suppress the transverse vibrations while forcing the end tip to follow a prescribed trajectory, and a Kalman filter is used to optimally estimate state variables which are not obtained through direct measurement. Using the optimal controller with the Kalman filter, extensive simulations have been carried out to assess the feasibility of real-time control using the proposed modeling approach. The possibility of using a reduced number of curvature measurements is investigated.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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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".