2021
DOI: 10.1177/1045389x20983888
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Stress-dependent generalized Prandtl–Ishlinskii hysteresis model of a NiTi wire with superelastic behavior

Abstract: The extremely useful superelastic behavior of NiTi has been poorly explored because of the limited number of models that can describe the complete hysteretic behavior of NiTi, including a superelastic condition that strongly depends on the applied stress. This paper presents the development of a stress-dependent phenomenological model of NiTi by modifying the existing generalized Prandtl–Ishlinskii (GPI) model. The parameters of the envelop function of the GPI model’s play operator are reformulated as quadrati… Show more

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Cited by 8 publications
(3 citation statements)
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“…Because α(t) and 􏽥 X(t) and X T (t)Λ(t)X(t) are not related, based on conditions (H1) and (H2), by applying a martingale convergence theorem to equation (28), it yields…”
Section: Convergence Performancementioning
confidence: 99%
See 1 more Smart Citation
“…Because α(t) and 􏽥 X(t) and X T (t)Λ(t)X(t) are not related, based on conditions (H1) and (H2), by applying a martingale convergence theorem to equation (28), it yields…”
Section: Convergence Performancementioning
confidence: 99%
“…Different memory models have been proposed to characterize the feature of the nonlinear system with memory nonlinearity, such as backlash model [26], backlash-like model [27], Prandtl-Ishlinskii model [28], Bouc-Wen model [29], and Duhem model [30]. Hysteresis nonlinearity widely exists in practical systems such as manufacturing machine, piezoelectric actuator, servo mechanical system, diesel engine injection, and image scanning system.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, phenomenological models such based on Preisach and Prandtl-Ishlinskii operators have also been used to describe SMA devices. The ability of those models to reproduce the hysteresis minor loops in an accurate and efficient way, as well as the fact that they are naturally formulated in a control-oriented formalism, has made them highly popular in SMA hysteresis compensation applications [18], [19], [20], [21], [22]. However, since those models lack physical interpretation, they are not able to predict how the SMA hysteresis changes in response to a different external temperature or applied mechanical load.…”
Section: Introductionmentioning
confidence: 99%