A new deflection shape function for square membrane CMUT design
Bibliographic record
Abstract
A new deflection shape function that can predict the deflection profile of a uniformly loaded microfabricated clamped square membrane with a much higher accuracy compared to existing models has been presented. The model has been developed by using an empirical data fit technique to identify new terms and new parameter values that compensate for the deviation of the existing deflection shape functions for square membranes from experimental and FEA results. The model has been optimized for typical design space of square diaphragm capacitive micromachined ultrasonic transducers (CMUT). The new model predicted deflection profiles exhibit excellent agreement with experimental and 3-D FEA results. CMUT capacitance values calculated after pressure loading using the new deflection shape function show a maximum deviation of 3.4% from the FEA results compared to −7–21% maximum deviations when existing models are used. The new model will be helpful to implement a much higher accuracy design methodology for CMUTs.
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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".