考虑次迟滞环的内嵌式SMA电机非线性模型  

Nonlinear model for minor hysteresis of embedded SMA actuators

作　　者：杨凯[1] 辜承林[1] 

机构地区：[1]华中科技大学电气与电子工程学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2006年第2期42-43,46,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50507007)

摘　　要：引入量化指标———马氏体份数来描述形状记忆合金的相变程度.基于马氏体份数,构建了可充分定义主、次级迟滞环的非线性分析模型.该模型采用两个指数方程分别计算加热和冷却条件下SMA的马氏体份数,由连续、共初始与共极限约束实时调整指数方程的相应参数,得到SMA相变时的马氏体份数.由内嵌式SMA电机曲率与SMA马氏体份数的线性变化规律,得到内嵌式SMA电机的弯曲曲率.PI控制的阶跃响应的仿真与实验结果验证了模型的有效性和准确性.A quantitative index martensite fraction was used to describe phase transformation degree of shape memory alloy （SMA）. On the basis of martensite fraction, the nonlinear analysis model for major and minor hysteresis loops was developed. The model adopted two exponential equations to calculate the mattensite fractions for cooling and heating respectively. The martensite fractions were derived as the relative parameters were adjusted timely according to continuous, common initial and common limit constraints. By use of the linear relationship between embedded SMA actuator and SMA＇s martensite fraction, the curvature of actuator was determined. The simulations and experiments results proved the validity of the model and its veracity.

关 键 词：内嵌式SMA电机 马氏体份数 次级迟滞环 

分 类 号：TM352[电气工程—电机]