Abstract
This article presents an approach for modeling hysteresis in piezoelectric materials that leverages recent advancements in machine learning, particularly in sparse-regression techniques. While sparse regression has previously been used to model various scientific and engineering phenomena, its application to nonlinear hysteresis modeling in piezoelectric materials has yet to be explored. The study employs the least squares algorithm with a sequential threshold to model the dynamic system responsible for hysteresis, resulting in a concise model that accurately predicts hysteresis for both simulated and experimental piezoelectric material data. Several numerical experiments are performed, including learning butterfly shaped hysteresis and modeling real-world hysteresis data for a piezoelectric actuator. The presented approach is compared to traditional regression-based and neural network methods, demonstrating its efficiency and robustness.
Original language | English |
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Article number | 214101 |
Number of pages | 7 |
Journal | Applied Physics Letters |
Volume | 122 |
Issue number | 21 |
DOIs | |
Publication status | Published - 22 May 2023 |
Keywords
- Hysteresis
- piezoelectric
- sparse regression
- constitutive laws
- Constitutive model
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Study Findings from Eindhoven University of Technology Broaden Understanding of Applied Physics (Discovery of sparse hysteresis models for piezoelectric materials)
Abhishek Chandra, Mitrofan Curti, Bram Daniels & Koen Tiels
6/06/23
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