短圆管换能器辐射阻抗

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.该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...

Radiation impedance of short cylindrical transducer

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.