A Generalized Prandtl-Ishlinskii Model for Characterizing Rate Dependent Hysteresis
Bibliographic record
Abstract
A generalized Prandtl-Ishlinskii model is proposed for characterizing the rate dependent hysteresis. A rate dependent play and stop operators are formulated and integrated to the Prandtl-Ishlinskii model together with a rate dependent density function to predict hysteresis properties as a function of rate of change of the input. The fundamental properties of the proposed rate dependent play and stop operators are evaluated and discussed. Experimental data obtained for a piezoceramic actuator under excitations in a wide frequency range (1-500 Hz) are analyzed to demonstrate rate dependence of the hysteretic responses. The validity of the proposed model is illustrated by comparing simulation results with the measured data over a wide frequency range. The comparisons suggest that the proposed rate dependent operator and density functions allow for accurate prediction of the rate dependent hysteresis under dynamically varying inputs.
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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 | 0.003 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.005 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".