中文摘要：

依据欧拉–伯努利梁结构动力学理论、磁致伸缩材料线性本构方程和法拉第电磁感应定律,建立Galfenol悬臂梁振动能量采集器的分布参数机电耦合动态模型,由该模型推导出器件的频率特性表达式。计算在加速度激励下,器件输出的电压、电流、功率和顶端相对位移,并对器件的机电双向耦合重要动力学特性,如短路和开路行为,进行深入研究。计算结果与实验结果的比较表明,该模型能提供器件在低加速度激励时的合理数据趋势,并能预测器件在多阶模态下的机电双向耦合动态特性。建立的模型对于器件的整体性能预估、设计、控制和使用具有重要的指导作用。

英文摘要：

Based on the structural dynamic theory of EulerBernouli beam, the linear constitutive equations of magnetostrictive material and the Faraday law of electromagnetic induction, a distributed parameter mechanicalelectro coupled dynamic model of Galfenol cantilever vibration energy harvester has been established, and the frequency characteristic expressions for the device have been derived from the proposed model. The output voltage, current, power and tip relative displacement of the device under acceleration excitation have been calculated, and the mechanical-electro bidirectional coupled important dynamic characteristics of the device, such as short circuit and open circuit behaviors, have been studied in detail. Comparisons between the calculated and experimental results show that the proposed model can provide reasonable data trends of the device under low acceleration levels, and can predict the mechanical-electro bidirectional coupled dynamic characteristics of the device under multi-order modes. The established model has an important guiding role in the overall performance forecasting, designing, controlling and using of the device.