四边简支弯曲振动方形薄板辐射阻抗的研究

The Radiation Impedance of the Flexural Vibration Square Plate in the Condition of Supporting Boundary

从振速分布不均匀振动面辐射阻抗的定义出发,分别推导了四边简支方形薄板不同模态的以面平均振速为参考和以中心点振速为参考的两种辐射阻抗表达式,研究了两种辐射阻抗与辐射声功率的关系.结果表明,对于振速分布不均匀的辐射面,选取不同的参考振速,辐射阻抗的绝对大小不相等,但二者在计算辐射声功率时被统一了起来,并且方形弯振薄板的辐射声功率的表达式与圆形活塞的辐射声功率表达式有着相似的形式.

The author starts from the definition by Professor He, and deduces two kinds of different radiation impedance expressions of the flexural vibration square plate in the condition of supporting boundary in different modality. One is the radiation impedance which takes the surface average velocity as the reference, the other takes the center point velocity as the reference. How the radiation impedance influences the sound power is studied in this paper. It can be shown from the results that the absolute magnitude is different when different reference velocity is selected, but the two are unified in calculating the radiation sound power.