Optimizing the Thickness of Piezoceramic Actuators for Bending Vibration of Planar Structures
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Bibliographic record
Abstract
An analytical approach is proposed to optimize the thickness of piezoceramic (PZT) actuators bonded on structures for active shape, noise, or vibration control. The optimal thickness corresponds to maximal mechanical coupling between the PZT actuator and the substrate. The analysis is carried out for a planar geometry, considering a square simply supported flexural plate with a square and a centered PZT actuator bonded either in symmetric or asymmetric configuration. Optimal thicknesses obtained from explicit analytical expressions are compared with finite element (FE) results for various substrate thicknesses and for various values of actuator coverage ratio. Static and dynamic strain profiles through the thickness of the plate—actuator system are plotted. Laboratory experiments are carried out on aluminum and steel plates with free and clamped boundary conditions to verify the analytical and FE predictions in terms of optimal PZT actuator thickness.
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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