| 任文博,刘洋,林书玉.压电层合弯曲振动换能器的传输矩阵建模与分析*[J].,2025,44(5):1102-1110 |
| 压电层合弯曲振动换能器的传输矩阵建模与分析* |
| Modeling and analysis of transmission matrix for piezoelectric laminated bending vibration transducer |
| 投稿时间：2024-12-24 修订日期：2025-08-27 |
| 中文摘要: |
| 压电层合弯曲振动换能器具有辐射阻抗低、辐射面积大、易匹配、结构简单和性能稳定等优点，在水下声学、气介超声等领域有广泛研究。为了精确预估压电层合弯曲振动换能器的动力学特性，本文基于Mindlin厚板理论并通过传输矩阵法对换能器的振动特性进行了理论建模，将压电层合换能器沿径向切分为N个等厚度的层合圆环机械串联，结合电学边界条件推导了压电层合弯曲振动换能器自由振动的频率方程。为了验证该理论模型的正确性，使用有限元分析软件对压电层合弯曲振动换能器进行了数值模拟，同时研制了实物换能器进行实验测量。结果表明，数值模拟和实验测量与理论计算所得共振频率的相对误差小于5%，验证了该理论的准确性。该理论模型为压电层合弯曲振动换能器的设计和优化提供快速分析方法，并为实际工程应用提供了理论支撑。 |
| 英文摘要: |
| Piezoelectric laminated bending vibration transducers have the advantages of low radiation impedance, large radiation area, easy matching, simple structure, and stable performance. They have been widely studied in underwater acoustics, gas dielectric ultrasound, and other fields. In order to accurately estimate the dynamic characteristics of piezoelectric laminated bending vibration transducers, this paper theoretically models the vibration characteristics of the transducer based on Mindlin thick plate theory and the transfer matrix method. The piezoelectric laminated plate is divided into N equally thick laminated rings along the radial direction and mechanically connected in series. Combined with electrical boundary conditions, the frequency equation of the free vibration of the piezoelectric laminated bending vibration transducer is derived. In order to verify the correctness of the theoretical model, finite element analysis software was used to numerically simulate the piezoelectric laminated bending vibration transducer, and a physical transducer was fabricated for experimental measurement. The results show that the relative error between the resonance frequency obtained from numerical simulation and experimental measurement and theoretical calculation is less than 5%, which verifies the accuracy of the theory. This theoretical model provides a fast analysis method for the design and optimization of piezoelectric laminated bending vibration transducers, and provides theoretical support for practical engineering applications. |
| DOI：10.11684/j.issn.1000-310X.2025.05.001 |
| 中文关键词: 压电层合换能器 Mindlin厚板理论 传输矩阵法 弯曲振动 |
| 英文关键词: Piezoelectric laminated transducer Mindlin thick plate theory Transfer matrix method Bending vibration |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
|
| 摘要点击次数: 474 |
| 全文下载次数: 223 |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |
