Modeling and analysis of a resonant sensor actuated by a bent beam thermal actuator
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Bibliographic record
Abstract
In this paper, a micromechanical system (MEMS) is modeled analytically. The system consists of three parts: a double-ended tuning fork (DETF), a bent beam thermal actuator, and a suspending mass. The suspending mass transmits the force from the thermal actuator to the DETF and prevents thermal stress to be produced in the DETF by precluding heat transfer to it. The thermal force-displacement equations, including the effect of axial stiffness of the resonator, are derived. The natural frequency of the vibration of DETF is a function of applied force to it. The DETF is modeled as two parallel beams, each carrying a concentrated mass in its interval. The characteristic equation of the vibration, which gives the exact values of the natural frequencies of the beam, is derived using method of separation of variables. The effects of the temperature rise as well as the system geometry on the natural frequency of the beam are discussed in detail.
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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