中文摘要：

对Terfenol—D杆的周期振动问题进行了数值分析．采用有限元和传递矩阵相结合的数值方法，求解了Terfenol-D杆由交变电流激励引起的周期振动问题．基于磁致伸缩线性本构关系和Harmilton变分原理导出有限元方程，并且在传递矩阵的计算中应用了矩阵指数的Pade近似．计算结果表明位移响应足周期的，并与电流变化同步．还分析了材料的线性磁致伸缩系数及电流峰值和频率对输出位移的影响．所得数值结果与文献中的实验结果吻合较好，验证了该数值方法的正确性．

英文摘要：

The periodic vibration of Terfenol D rod as a key structural element in linear magnetostrictive actuator is numerically analyzed. A numerical approach combined the finite element method with the transfer matrix method is applied to solving the vibration problem excited by input harmonic alternating current. The linear constitutive relationship for magnetostrictive material Terfenol D and Harmilton variational principle are used to formulate finite element equations; and Pade approximation is employed to calculate matrix exponential as transfer matrix. The numerical analysis results show that displacement response is periodic and synchronized with excited input current. The influence of linear magnetostriction coefficient, amplitude and frequency of excited current on the displacement response is investigated. The numerical analysis results are good agreement with the experimental data available in reference, which verifies the validity of the presented numerical method.