形状记忆合金迟滞模型

摘要/Abstract

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。

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

Abstract: 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.

Key words: automatic control technology, shape memory alloy, hysteresis, actuator, Preisach model, numerical implementation

中图分类号:

TP13

刘旺中, 陈照波, 黄山云, 焦映厚. 形状记忆合金迟滞模型 [J]. , 2012, (03): 719-725.

LIU Wang-zhong, CHEN Zhao-bo, HUANG Shan-yun, JIAO Ying-hou. Hysteresis of shape memory alloy[J]. , 2012, (03): 719-725.

参考文献

[1] Vivek A S, Steven D. Design of a lightweight hyper-Redundant deployable binary manipulator［J］. Journal of Mechanical Design, 2004,126(1):29-39.
[2] Ikuta K, Tsukamoto M, Hirose S. Shape memory alloy servo actuator system with electric resistance feedback and application for active endoscope［C］//Proceedings of the 1988 IEEE International Conference on Robotics and Automation, Philadelphia PA,USA,1988:427-430.
[3] Tanaka K, Kobayashi S, Sato Y. Thermo-mechanics of transformation pseudo-elasticity and shape memory effect in alloys［J］. International Journal of Plasticity, 1986, 2(1):59-72.
[4] Liang C, Rogers C A. One-dimensional thermo mechanical constitutive relations for shape memory materials［J］. Journal of Intelligent Material Systems and Structures, 1990,1:207-234.
[5] Tan X B, John S B. Modeling and control of hysteresis in magneto-strictive actuators［J］. Automatica, 2004, 40(9):1469-1480.
[6] Gorbet R B,Wang D W L,Morris K A.Preisach model identification of a two-wire SMA actuator［C］//Proceedings of the 1998 IEEE International Conference on Robotics and Automation,Leuven, Belgium,1998:2161-2167.
[7] Dickinson C A, Hughes D C, Wen J T. Hysteresis in shape memory alloy actuators: the control issues［J］. Smart Structures and Materials,1996,2715:494-506.
[8] Hughes D, Wen J T. Preisach modeling of piezo-ceramic and shape memory alloy hysteresis［C］//Proceedings of the 4th IEEE Conference on Control Applications, Albany NY, USA,1995:1086-1091.
[9] Ma N, Song G, Lee H J. Position control of shape memory alloy actuators with internal electrical resistance feedback using neural networks［J］. Smart Materials and Structures,2004,13(4): 777-783.
[10] Fan B, Song G B. Hysteresis in a shape memory alloy wire: identification and simulation［C］//Smart Structures and Materials 2005: Modeling, Signal Processing, and Control. Proceedings of SPIE, San Diego,USA,2005:388-397.
[11] Mayergoyz I D. Mathematical Models of Hysteresis［M］. New York: Springer, 1991.
[12] Wang Z L,Hang G R,Wang Y W, et al. Embedded SMA wire actuated biomimetic fin: a module for biomimetic underwater propulsion［J］. Smart Materials and Structures,2008,17(2):25-39.
[13] 张磊,付永领,刘永光,等. 磁致伸缩作动器的建模与控制研究［J］. 压电与声光,2005,27(5): 503-505. Zhang Lei, Fu Yong-ling, Liu Yong-guang, et al. A study of modeling and control of magneto-strictive actuator［J］. Piezoelectrics & Acoustooptics,2005,27(5):503-505.
[14] 张雨烨,阎石,宋钢兵,等. 基于Preisach理论形状记忆合金电阻-应变滞回模型［J］. 振动与冲击,2008,27(8):146-148. Zhang Yu-ye,Yan Shi,Song Gang-bing, et al. Electrical resistance-strain hysteresis for shape memory alloys based on preisach theory［J］. Journal of Vibration and Shock,2008,27(8):146-148.

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