A generalized rate dependent play operator for characterizing asymmetric and symmetric hysteresis nonlinearities
Bibliographic record
Abstract
In this paper, a generalized rate dependent Prandtl-Ishlinskii model is proposed to characterize both the symmetric and asymmetric input-output hysteresis, as a function of the time rate of input. The model is realized upon formulation and integration of a generalized rate dependent play operator capable of generating minor as well as major hysteresis loops with varying slopes of ascending and descending input-output curves. A dynamic threshold function is proposed to enhance the prediction of rate-dependent hysteresis nonlinearities. The validity of the generalized model is demonstrated by comparing its displacement responses with the measured symmetric and asymmetric responses obtained for piezoceramic and magnetostrictive actuators under input frequencies of 50–200 Hz and 10–50 Hz, respectively. The results show the capability of the proposed model to characterize asymmetric and symmetric rate dependent hysteresis nonlinearities in smart actuators
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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".