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超磁致伸缩作动器(GMA)输入输出之间存在着磁滞非线性关系,当研究其中高频输出特性时,为了降低材料自身迟滞非线性特性的影响,往往选用零点与饱和状态之间线性度较好的不饱和小回线,因此很有必要开展动态不饱和小回线数学模型的研究。首先在综合研究磁致伸缩材料(GMM)和GMA结构动力学特性的基础上结合安培环路定理提出以励磁电流为输入、应变为输出的动态Jiles-Atherton(J-A)模型,然后在引入磁滞回线特性变量的基础上得出J-A模型关键模型参数对其特性的影响规律,根据不饱和小回线仿真与实验波形的偏离特性提出模型参数的修正方法得到不饱和小回线动态J-A模型。最后,在不同频率和不同饱和幅值下通过实验验证该数学模型的正确性。
There is a hysteresis nonlinearity relationship between input and output of GMA. When studying the high-frequency output characteristics, in order to reduce the influence of material’s own hysteresis nonlinearity, it is often chosen between zero and saturation Linearity is better unsaturated small loop, it is necessary to carry out dynamic unsaturated small loop mathematical model. Firstly, a dynamic Jiles-Atherton (JA) model with field current as input and strain as output is proposed based on the study of the dynamic characteristics of the magnetostrictive material (GMM) and GMA structure combined with the Ampere loop theorem. Then, Based on the characteristics of the return line, the influence of the key parameters of the JA model on its characteristics is obtained. According to the deviation characteristics of the unsaturated small loop simulation and the experimental waveform, a modified method of the model parameters is proposed to obtain the unsaturated small loop dynamic JA model. Finally, the correctness of the mathematical model is verified experimentally under different frequencies and different saturation amplitudes.