Pull-In Voltage Calculations for-MEMS Sensors with Cantilevered Beams
Bibliographic record
Abstract
MEMS sensors, such as acoustic, noise and vibration transducers often employ a diaphragm or cantilevered structure as part of a variable capacitance sensor geometry. A bias voltage is necessary to ensure a linear force-capacitance range of operation. The calculation of the pull-in voltage whereby the sensing structure collapses due to electrostatic forces is an important design requirement. A linearized, uniform approximate model of the nonlinear electrostatic pressure has been developed and used in conjunction with the load deflection model of a MEMS cantilever beam under uniform pressure to develop a highly accurate model to calculate the pull-in voltage. The new model improves sensor design methodology by evaluating the pull-in voltage for a cantilever beam with a maximum deviation of less than 1% from the finite element analysis results for wide beams and for narrow beams with extreme fringing fields.
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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".