Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses

The paper presents a theoretical and experimental investigation of a thermo-mechanical model of an actuator composed of a shape memory alloy wire arranged in series with a bias spring. The developed mathematical model considers the dynamics of the actuator in the thermal and mechanical domains. The...

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Main Authors: Rosen Mitrev, Todor Todorov, Andrei Fursov, Borislav Ganev
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/11/9/1120
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author Rosen Mitrev
Todor Todorov
Andrei Fursov
Borislav Ganev
author_facet Rosen Mitrev
Todor Todorov
Andrei Fursov
Borislav Ganev
author_sort Rosen Mitrev
collection DOAJ
description The paper presents a theoretical and experimental investigation of a thermo-mechanical model of an actuator composed of a shape memory alloy wire arranged in series with a bias spring. The developed mathematical model considers the dynamics of the actuator in the thermal and mechanical domains. The modelling accuracy is increased through the developed algorithm for modelling the minor and sub minor hystereses, thus removing the disadvantages of the classical model. The algorithm improves the accuracy, especially when using pulse-width modulation control, for which minor and sub minor hystereses are likely to occur. Experimental studies show that the system is very sensitive, and there are physical factors whose presence cannot be considered in the mathematical model. The experimental research has shown that setting constant values of the duty cycle is impossible to obtain a stable value of displacement and force. The comparison between the developed mathematical model results and the experimental results shows that the differences are acceptable. The improved modelling serves as a basis for designing such actuators and creating an improved automatic feedback control system to maintain a given displacement (force) or trajectory tracking.
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spelling doaj.art-16c1cd7791c548699596b6a4698ee7932023-11-22T12:36:11ZengMDPI AGCrystals2073-43522021-09-01119112010.3390/cryst11091120Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor HysteresesRosen Mitrev0Todor Todorov1Andrei Fursov2Borislav Ganev3Department of Logistics Engineering, Material Handling and Construction Machines, Mechanical Engineering Faculty, Technical University of Sofia, 1797 Sofia, BulgariaDepartment of Theory of Mechanisms and Machines, Faculty of Industrial Technology, Technical University of Sofia, 1797 Sofia, BulgariaDepartment of Nonlinear Dynamical Systems and Control Processes, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991 Moscow, RussiaDepartment of Electronics, Faculty of Electronic Engineering and Technologies, Technical University of Sofia, 1797 Sofia, BulgariaThe paper presents a theoretical and experimental investigation of a thermo-mechanical model of an actuator composed of a shape memory alloy wire arranged in series with a bias spring. The developed mathematical model considers the dynamics of the actuator in the thermal and mechanical domains. The modelling accuracy is increased through the developed algorithm for modelling the minor and sub minor hystereses, thus removing the disadvantages of the classical model. The algorithm improves the accuracy, especially when using pulse-width modulation control, for which minor and sub minor hystereses are likely to occur. Experimental studies show that the system is very sensitive, and there are physical factors whose presence cannot be considered in the mathematical model. The experimental research has shown that setting constant values of the duty cycle is impossible to obtain a stable value of displacement and force. The comparison between the developed mathematical model results and the experimental results shows that the differences are acceptable. The improved modelling serves as a basis for designing such actuators and creating an improved automatic feedback control system to maintain a given displacement (force) or trajectory tracking.https://www.mdpi.com/2073-4352/11/9/1120shape memory alloy actuatorminor hysteresispulse-width modulation
spellingShingle Rosen Mitrev
Todor Todorov
Andrei Fursov
Borislav Ganev
Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses
Crystals
shape memory alloy actuator
minor hysteresis
pulse-width modulation
title Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses
title_full Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses
title_fullStr Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses
title_full_unstemmed Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses
title_short Theoretical and Experimental Study of a Thermo-Mechanical Model of a Shape Memory Alloy Actuator Considering Minor Hystereses
title_sort theoretical and experimental study of a thermo mechanical model of a shape memory alloy actuator considering minor hystereses
topic shape memory alloy actuator
minor hysteresis
pulse-width modulation
url https://www.mdpi.com/2073-4352/11/9/1120
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AT andreifursov theoreticalandexperimentalstudyofathermomechanicalmodelofashapememoryalloyactuatorconsideringminorhystereses
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