Design and characterization of microresonators simultaneously exhibiting 1/2 subharmonic and 2:1 internal resonances
Bibliographic record
Abstract
We are reporting the design and experimental investigation on a microresonator simultaneously exhibiting nonlinear modal interactions due to 1/2 subharmonic resonance and 2:1 internal resonance. This has been made possible through careful design of the structure with attention to the limits of microfabricated devices. Finite element models of the structure were built and used to layout the device with two desired vibrational modes with a ~2:1 frequency ratio. The microresonator was fabricated in MEMS Integrated Design for Inertial Sensors (MIDIS) from Teledyne DALSA Semiconductor Inc. (TDSI). Extensive experiments were conducted to verify the intended nonlinear responses. The device design methodologies can be employed to fabricate various sensors, including nonlinear gyroscopes incorporating 2:1 internal resonance.
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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".