形状记忆合金迟滞模型  

Hysteresis of shape memory alloy

作　　者：刘旺中[1] 陈照波[1] 黄山云[1] 焦映厚[1] 

机构地区：[1]哈尔滨工业大学机电工程学院,哈尔滨150001

出　　处：《吉林大学学报（工学版）》2012年第3期719-725,共7页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金面上项目(10972065)

摘　　要：基于实验测试,结合Preisach理论研究了形状记忆合金(Shape memory alloy,SMA)丝驱动器的迟滞建模。首先,依赖于SMA材料受输入电压作用引起的温升变化诱发材料相变输出位移量,设计了SMA丝特性测试平台,记录了驱动过程中的输入、输出变化量,得到理论模型参数辨识的数据集合。然后,讨论了SMA丝的输入电压、温度变化与形状记忆效应产生的材料宏观位移间的迟滞关系。最后,引入Preisach理论,由推导的经典Preisach理论的修正形式和数值实现方法构造了SMA驱动器温度量和位移的迟滞模型。结果表明:与试验数据比较,Matlab环境仿真得到的SMA迟滞曲线,匹配性较好,为进一步的系统设计分析奠定了基础。Based on experimental measurement,the hysteresis modeling of Shape Memory Alloy（SMA） actuator is studies by combination of Preisach model.First,a testing apparatus is fabricated inspired by output displacement,which is generated from temperature-induced phase transformation occurring in SMA device due to the applied electric flow.As a prerequisite of the theoretical hysteresis modeling,the data sets are sampled from the experimental results by recording the input and output of SMA actuator during motion process.Second,the hysteresis phenomenon happened to input voltage,temperature and following displacement due to shape memory effect is discussed.Finally,with the introduction of Preisach model,a modified version of classical Preisach model and formulation of numerical implementation are derived to elucidate the hysteresis of temperature-displacement.Results show that the SMA hysteresis curve obtained by simulation with Matlab toolbox matches well with the experimental data,which can be taken as reference for future application.

关 键 词：自动控制技术 形状记忆合金 迟滞 驱动器 PREISACH模型 数值实现 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TB39[自动化与计算机技术—控制科学与工程]