椭圆形活塞声源辐射阻抗的计算

Calculations of radiation impedance from ellipse piston source

利用瑞利积分推导椭圆形活塞声源辐射阻抗的四重积分表达式,应用高斯数值积分得到椭圆形活塞声源辐射阻抗的数值解.结果表明:椭圆形活塞声源的辐射阻抗与波数和活塞的面积相关,椭圆形活塞声源在高频段的辐射声功率比低频段的要大,而高频段的同振质量比低频段的要小.

The quadruple integral expression of the radiation impedance of ellipse piston is deduced by using the Rayleigh integral. The numerical results of the ellipse piston＇s radiation impedance are obtained by using the Gauss numerical integral method. It is shown that the radiation imped- ance of ellipse piston is related with the wave numbers and the areas of ellipse piston. In the high- er frequency band the acoustical power of ellipse piston source is greater than those in the lower frequency band, and in the lower frequency band the quality with vibration is smaller than those in the higher frequency band.