固定边界弯曲振动圆盘辐射阻抗研究

Radiation Impedance of Flexural Thin Circular Flat Plate with Fixed Boundary

基于固定边界弯曲振动圆盘的振动特性,以面中心振速为参考,推导出辐射阻抗的解析表达式,利用高斯数值积分计算了6种振动模式下辐射阻抗的数值。结果表明,固定边界弯曲振动圆盘的辐射阻抗不仅是波数和圆盘半径a的函数,并且与振动模式(节圆数)有关。本研究为实际中利用该类辐射器提供了一定的理论依据。

Expressions of radiation impedance of flexural circular thin flat plate with fixed boundary are derived, with the center point vibration velocity of vibration plane as the reference, based on the analyzing of vibration characteristics. The radiation impedances of six vibration modes are calculated by using Gaussian numerical integration. It is proved that the radiation impedance is not only the function of the wave number k and the radius a, but also concerned with vibration mode （ number of the noda）. It provides the theoretical foundation for utilizing this type of vibrator in practical applications.