Dynamics Analysis of MEMS-Based Vibratory Angular Rate Sensors Via a Generic Reduced Order Model
Bibliographic record
Abstract
Instabilities in micro sized vibratory angular rate sensors that are subject to periodic fluctuations in input angular rates have been investigated. For the purpose of acquiring stability conditions, dynamic behavior of periodically perturbed linear gyroscopic systems is studied in detail. It is shown that the effects from the centrifugal forces as well as the associated fluctuations are negligible, and based on these findings, a simplified model is proposed. An asymptotic approach based on the method of averaging has been employed for establishing closed-form instability boundary conditions. In particular, onset of instability due to sum-type combination resonance has been found to be occur. A numerical approach based on the maximal-Lyapunov exponent is employed for validating the analytical predictions. Stability predictions have been illustrated via stability diagrams in the excitation amplitude-frequency space. Based on the results from this model, dangerous critical frequencies that depend on the system natural frequencies may be avoided during the design process and useful design specifications can be formulated.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".