Differential hysteresis modeling of a shape memory alloy wire actuator
Differential hysteresis modeling of a shape memory alloy wire actuator
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DOI：
10.1109/tmech.2005.844709
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发表时间：
2005-04-01
影响因子：
6.4
通讯作者：
Ghorbel, FH
中科院分区：
文献类型：
--
作者：
Dutta, SM;Ghorbel, FH
本文建立了由电流和偏置弹簧驱动的形状记忆合金（SMA）导线的完整数学模型。SMA致动器的工作涉及不同的物理现象，如传热、具有温度滞后的相变、伴随相变的应力应变变化和电阻变化。我们以模块化的方式对这些现象进行建模。所提出的模型的一个关键特征是它的一个或多个模块可以扩展以适应其他SMA应用。该模型的核心是一个差分迟滞模型，能够表示较小的迟滞回路。我们使用集总参数分析生成了滞后模型的温度分布。我们扩展了可变子层模型来表示执行器的应变和电阻。该模型可用于开发执行机构的位置控制系统。模型的仿真结果与实验数据吻合较好。
In this paper, we develop a complete mathematical model of a shape memory alloy (SMA) wire actuated by an electric current and a bias spring. The operation of the SMA actuator involves different physical phenomena, such as heat transfer, phase transformation with temperature hysteresis, stress-strain variations and electrical resistance variation accompanying the phase transformation. We model each of these phenomena in a modular fashion. A key feature of the proposed model is that one or more of its modules can be extended to fit other SMA applications. At the heart of the proposed model is a differential hysteresis model capable of representing minor hysteresis loops. We generate the temperature profile for the hysteresis model using lumped parameter analysis. We extend the variable sublayer model to represent actuator strain and electrical resistance. This model can be used to develop a position control system for the actuator. Simulation results from the model are found to be in good agreement with experimental data.