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<p>Shape memory alloys are valuable materials for a distinct engineering applications such as aerospace, robotics, medical etc., due to effect of their superelasticity and shape memory. The superelastic shape memory alloy wire (SESMA) was selected with a composition of 54.3% Ni and 45.7% Ti, which also has a diameter of 0.6&#xa0;mm and a length of 30&#xa0;mm. A thermomechanical machine was used to perform cyclic testing up to a 6% strain level at a constant temperature (23&#xa0;°C). The experiments were performed, and data were obtained on the stress-strain. The modelling of cyclic behaviour is developed by using a Hammerstein-Wiener technique. Moreover, Hammerstein-Wiener (HW) models were obtained using the second cycle and validated through fifth cycle with experimental data. The results showed that the model’s hysteresis loop was reasonably close to the experimental data for all frequencies. Further, the austenite modulus and area of the stress-strain hysteresis loop were found to have a good correlation with a maximum error of 1.29%. These results further suggest that Hammerstein-Wiener (HW) system identification is very useful for modeling the SESMA behaviour.</p>

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Development and optimization of Hammerstein-Wiener system identification for modelling of super elastic shape memory alloy wire

  • 期刊论文

  • 发表日期：

    2026年2月11日

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  • Arunabha Datta,
  • P. Senthilkumar

摘要

Shape memory alloys are valuable materials for a distinct engineering applications such as aerospace, robotics, medical etc., due to effect of their superelasticity and shape memory. The superelastic shape memory alloy wire (SESMA) was selected with a composition of 54.3% Ni and 45.7% Ti, which also has a diameter of 0.6 mm and a length of 30 mm. A thermomechanical machine was used to perform cyclic testing up to a 6% strain level at a constant temperature (23 °C). The experiments were performed, and data were obtained on the stress-strain. The modelling of cyclic behaviour is developed by using a Hammerstein-Wiener technique. Moreover, Hammerstein-Wiener (HW) models were obtained using the second cycle and validated through fifth cycle with experimental data. The results showed that the model’s hysteresis loop was reasonably close to the experimental data for all frequencies. Further, the austenite modulus and area of the stress-strain hysteresis loop were found to have a good correlation with a maximum error of 1.29%. These results further suggest that Hammerstein-Wiener (HW) system identification is very useful for modeling the SESMA behaviour.