A simple closed-form model to accurately calculate the electromechanical coupling coefficient of CMUTs
Bibliographic record
Abstract
Abstract A simple highly accurate closed-form model to calculate the electromechanical coupling coefficient of a capacitive micromachined ultrasonic transducer (CMUT) is presented. The model exploits the electrostatic spring softening phenomenon to derive an expression for the energy converted from electrical to mechanical domain and includes the nonlinear change of the CMUT diaphragm stiffness during large deflections. The model has been validated by comparing the model predicted values with experimental results published elsewhere along with the results predicted by some existing models. The comparison shows that the model predicted values are in excellent agreement with experimental results. The model also enables one to quantify the effects of residual stress, bending, and nonlinear stretching of the diaphragm on the transduction efficiency of CMUTs without any computationally intensive finite element analysis method. The model resolves the ambiguity of the absence of electrostatic spring softening effect in some existing models.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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".