Giant magnetostrictive materials (GMMs) have been widely used to fabricate transducers with high-energy output because of their excellent properties. However, there are few reports on mathematical models to optimize the impedance compensation and resonance characteristics of giant magnetostrictive transducers. In this study, a giant magnetostrictive ultrasonic transducer (GMUT) suitable for rotary ultrasonic machining systems is proposed. A mathematical model for optimum impedance compensation that considers the loss in energy conversion is established to maximize the use of ultrasonic energy. The frequency characteristics of the electrical feedback signal in the resonance state are investigated, and the resonance zone found is used for frequency tracking. An impedance analyzer is used to determine the parameters of the mathematical model, and the validity of the optimum compensation capacitance is verified by experiments. The frequency characteristics of the minimum current, active power, and amplitude are obtained to obtain the resonance zone in the GMUT with the lowest energy consumption. The results of this study provide a reference for frequency tracking.

中文翻译：

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超磁致伸缩超声换能器最佳阻抗补偿数学模型及其谐振特性研究

巨磁致伸缩材料（GMM）由于其优异的性能而被广泛用于制造具有高能量输出的换能器。然而，关于优化巨磁致伸缩换能器阻抗补偿和谐振特性的数学模型的报道很少。在这项研究中，提出了一种适用于旋转超声加工系统的巨磁致伸缩超声换能器 (GMUT)。建立考虑能量转换损失的最优阻抗补偿数学模型，最大限度地利用超声能量。研究了谐振状态下电反馈信号的频率特性，并将找到的谐振区用于频率跟踪。阻抗分析仪用于确定数学模型的参数，并通过实验验证了最优补偿电容的有效性。求得最小电流、有功功率、幅值的频率特性，得到GMUT中能耗最低的谐振区。本研究结果为频率跟踪提供了参考。