Development of rate independent Prandtl-Ishlinskii model for characterizing asymmetric hysteresis nonlinearities of SMA actuators
Bibliographic record
Abstract
Shape memory alloy actuators (SMA) show asymmetric hysteresis loops between the input current and output displacement. Furthermore, the SMA actuators exhibit saturated output displacement at maximum and/or minimum input. A generalized Prandtl-Ishlinskii model is formulated to model hysteresis nonlinearities of SMA actuators. In this model, a generalized play hysteresis operator is proposed and integrated with a density function to construct generalized Prandtl-Ishlinskii model. The formulated generalized Prandtl-Ishlinskii model can also describe hysteresis loops with saturated output displacement. The results suggest that unlike the classical Prandtl-Ishlinskii model, the proposed Prandtl-Ishlinskii can effectively characterize hysteresis nonlinearities of the SMA 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".