中文摘要：

稀土铁超磁致伸缩材料具有磁致伸缩逆效应，以此为基础的加速度传感器具有过载能力强、测量范围广、能在恶劣环境下工作、寿命长等一系列优异性能，在重工业、化学等工业领域的自动化控制系统中有着广泛的应用前景。为了有效地设计和优化超磁致伸缩加速度传感器，该文根据能量变分原理，建立了超磁致伸缩材料Tb-Dv-Fe制作的加速度传感器的磁-机械强耦合模型，应用该模型采用自编有限元软件，计算了传感器空气隙中的磁感应强度和施加加速度的关系，并测试了施加加速度从20—150m／s^2范围内传感器空气隙中的磁感应强度，发现计算结果与实验结果符合较好，相对误差小于9％，满足工程需要。表明建立的超磁致伸缩加速度传感器的磁-机械强耦合有限元模型是有效的，能够反映超磁致伸缩加速度传感器的输入输出关系。

英文摘要：

The rare-earth iron giant magnetostrictive materials possess inverse magnetostrictive effect. Based on the giant inverse magnetostrictive effect, the acceleration sensors have a series of outstanding properties, such as large overload capacity, wide range of measurement, ability of working on adverse circumstances, the long service life and so on, which make them have more and more applications to the field of automatic control system of heavy industry, chemical industry. In order to design and optimize giant magnetostrictive acceleration sensors effectively, this paper presents a magneto-mechanical strongly coupled model for acceleration sensors built with Tb-Dy-Fe giant magnetostrictive material, based on the energy variation principle. Using the proposed model, the relation between magnetic flux density in the gap and applied acceleration on the sensor is calculated by finite element （FE） method, which is developed by authors. And an experiment on the range of accelerations from 20 m/s^2 to 150 m/s^2 has been conducted. There is a relative error of less than 9% between the calculated results and the experimental ones, which meets the need of engineering practice. This indicates that the proposed magneto-mechanical strongly coupled FE model is valid, which can reflect the input-output relation of giant magnetostrictive acceleration sensors.