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Modeling of the near-field radiation of acoustically actuated magnetoelectric antennas

声激励磁电天线的近场辐射模型

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Abstract

This paper presents an analytical model for the near-field radiation of acoustically actuated magnetoelectric (ME) antennas considering a fully magneto-elastic coupled magnetostrictive constitutive relation. The nonlinearity of the magnetostrictive phase is introduced into the governing equation of the ME antennas using the equivalent parameter method, resulting in analytical expressions of the near-field radiation. The strain distribution in the ME antenna is calculated first and then extracted as a source for solving the magnetic flux density, energies, average radiated power, and radiation impedance. The predictions for the admittance and impedance show good agreement with simulation and experimental data, respectively. The effects of the external stimuli on the radiation performance are investigated, to theoretically evaluate the ME antennas operated in complex magnetic and stress conditions. The required magnetic bias corresponding to the maximum radiation of the ME antennas is determined, which is changed with the pre-stress. In addition, the radiation power can be improved by tensile stress before the required magnetic bias or by compressive stress after the required magnetic bias. The present model may provide a basis for the evaluation and regulation of acoustically actuated ME antenna.

摘要

本文在考虑全磁-弹耦合的磁致伸缩本构关系的基础上, 提出了声激励磁电天线的近场辐射解析模型. 采用等效参数法将磁致伸缩相的非线性引入到磁电天线的控制方程, 推导出了天线近场辐射的解析表达式. 首先计算了磁电天线中的应力分布, 然后将应力场作为源来求解磁感应强度、辐射能、平均辐射功率和辐射阻抗等. 对于导纳和阻抗理论预测值与数值仿真和实验结果完全吻合. 研究了外界激励对电磁天线辐射性能的影响, 从理论上评估了磁电天线在复杂磁场和应力条件下的工作性能; 确定了磁电天线实现最大辐射所需的最优偏磁场值, 并发现该磁场值随预应力的变化规律. 研究表明, 当外加磁场小(大)于最优偏磁场时, 采用拉(压)应力可以提高辐射功率. 本文模型有望为声激励磁电天线的性能评估和调节提供一定的理论依据.

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Acknowledgements

This work was supported by the Natural Science Foundation of Shaanxi Province (Grant No. 2022JM020), the Fundamental Research Funds for the Central Universities (Grant No. ZYTS23024), and the Innovation Fund of Xidian University (Grant No. YJSJ23002).

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Authors and Affiliations

  1. Research Center for Applied Mechanics, School of Mechano-Electronic Engineering, Xidian University, Xi’an, 710071, China

    Yang Shi  (师阳), Baoxin Lei  (雷保新) & Zhixiong You  (游智雄)

  2. Shaanxi Key Laboratory of Space Extreme Detection, Xi’an, 710071, China

    Yang Shi  (师阳), Baoxin Lei  (雷保新) & Zhixiong You  (游智雄)

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  1. Yang Shi  (师阳)
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  2. Baoxin Lei  (雷保新)
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Contributions

Yang Shi: Conceptualization, Methodology, Writing–original draft, Writing–review & editing, Supervision. Baoxin Lei: Writing–original draft, Writing–review & editing, Formal analysis, Software, Validation. Zhixiong You: Writing–review & editing, Validation.

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Correspondence to Yang Shi  (师阳).

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Shi, Y., Lei, B. & You, Z. Modeling of the near-field radiation of acoustically actuated magnetoelectric antennas. Acta Mech. Sin. 39, 523120 (2023). https://doi.org/10.1007/s10409-023-23120-x

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