Modeling electrostatic field in mems devices using artdticial springs in rayleigh-ritz method
Bibliographic record
Abstract
Boundary characteristic orthogonal polynomials were used in the Rayleigh-Ritz method to model and analyze electrostatic field in micro electro mechanical system (MEMS) devices. These orthogonal polynomials were generated using Gram-Schmidt process to conduct the investigations. The vibration problem was formulated at the static equilibrium condition by including an elastic foundation stiffness to represent the electrostatic field effects. The problem was formulated to obtain the modeshapes and the eigenvalues of the plate type microdevice at the static equilibrium position. The electrostatic field had a softening effect on the elastic property of the system, as it acted in opposition to the structural stiffness. The softening effect was introduced in terms of distributed springs or an elastic foundation with stiffness per unit area of 'Ke' to apply the boundary conditioning to represent the electrostatic effect.
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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".