By taking an average over all possible forcing position on the plate, the modal radiation efficiency and the average radiation efficiency were derived for a point-excited circular plate with clamped and simply supported boundary condition. The numerical results of the modal radiation efficiency and the average radiation efficiency were shown, and the influence factors of the average radiation efficiency are analyzed. The results show that the modal radiation efficiency and the average radiation efficiency all increase with the increase of the frequency in the low and middle frequency band, while in the high frequency band they all approaches 1. The average radiation efficiency is determined by the thickness, the damping loss factor, the boundary condition and the radius of a circular plate, while independent of the excite force and its position. It is also observed that in the middle frequency band the average radiation efficiency increases with the increase of the thickness and damping loss factor, while decreases with the increase of the radius. In the low frequency band the average radiation efficiency is unrelated to the thickness, the damping loss factor, and the radius. The average radiation efficiency of the circular plate with clamped boundary condition is in substantial agreement with that plate with the simply supported boundary condition.
REN Hui-juan; SHENG Mei-ping.
The Radiation Efficiency of a Thin Circular Plate in Flexural Vibration[J]. Journal of Vibration and Shock, 2012, 31(20): 121-125
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