| 梁家宁,莫喜平,柴勇,刘永平.短圆管换能器辐射阻抗[J].,2021,40(2):303-307 |
| 短圆管换能器辐射阻抗 |
| Radiation impedance of short cylindrical transducer |
| 投稿时间：2020-05-14 修订日期：2021-03-01 |
| 中文摘要: |
| 辐射阻抗是换能器最重要的辐射声场特性参数之一,影响着换能器的谐振频率、频带宽度、效率以及辐射声功率等。随着圆管换能器半径和高度的不断变化,想直接得到声场瑞利积分的解析解是十分困难的。本文通过建立经验公式模型来解决此问题。首先,通过有限元软件COMSOL Multiphysics计算圆管换能器辐射阻抗的数值解。然后利用MATLAB工具进行曲线拟合。经过反复逼近拟合,建立圆管换能器辐射阻抗经验公式模型。与刚性扩展模型计算出的傅立叶级数解相比,经验公式模型在kr值从0.03～10范围内与有限元计算结果更为吻合,验证了经验公式计算辐射阻抗的准确性。同时,在圆管更低高径比情况下,经验公式模型仍可较准确的计算辐射阻抗。 |
| 英文摘要: |
| Radiation impedance is one of the most important radiated sound field characteristics of a transducer, which affects the resonance frequency, bandwidth, efficiency and radiated sound power of the transducer. With the continuous change of the radius and height of a cylindrical transducer, it is very difficult to obtain an analytical solution of the Rayleigh integral of sound field directly. An empirical formula model is built to solve this problem. At first the numerical solutions of the radiation impedance of a cylindrical transducer are calculated by the finite element software COMSOL Multiphysics. Then curve fitting is done by the MATLAB tools. After a series of attempts, the new empirical formula model could be established. Compared with the Fourier series solutions calculated by the extended rigid model, the error of the empirical formula model could be decreased significantly when kr is from 0.03 to 10. It is confirmed that this empirical formula model could calculate the radiation impedance more accurately when the cylindrical transducer has a relatively small height-diameter ratio. |
| DOI：10.11684/j.issn.1000-310X.2021.02.019 |
| 中文关键词: 辐射阻抗 圆管换能器 曲线拟合 数学表达式 |
| 英文关键词: radiation impedance cylindrical transducer curve fitting mathematical expression. |
| 基金项目: |
|
| 摘要点击次数: 1274 |
| 全文下载次数: 1470 |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |
|
|
|
