Coincidence effect of a finite plate.
Coincidence effect of a finite plate.
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有限板的重合效应。
DOI：
10.1299/kikaic.53.1435
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
M. Nakai
中科院分区：
文献类型：
--
作者：
Y. Tamai;T. Takahagi;M. Nakai
本文讨论了边界固定在无限大刚性挡板中的圆薄板的重合效应。从理论上证明了有限平板的辐射效率c在临界频率以上有一个峰值。实验证实了这一现象。当受激振动时，与激励频率接近的固有频率（第p阶模态）对声辐射影响最大。因此，我们可以假设0= Δ pp，其中Δ pp是第p模式的自辐射电阻。给出的积分表达式表明，振动能量通过具有声辐射特性的滤波器转化为辐射的声能。对该方程的理论分析表明，在同时满足共振激励和从振动到辐射声的最高有效转换这两个条件的频率下，有限板的重合效应发生。
The coincidence effect of a thin circular plate clamped at its edge in an infinite rigid baffle is discussed. It is shown theoretically that the radiation efficiency c for the finite plate displays a peak just above the critical frequency. This phenomenon was verified by the experiments. When the finite plate is vibrationally excited, the natural frequency (the pth mode) close to the forcing frequency has the greatest influence on the sound radiation. Therefore we can assume that 0= ζpp, whereζpp is the self-radiation resistance of the pth mode. The integral expression formulated forζpp shows that the vibration energy is transformed into sound energy radiated through the filter which possesses the sound radiation characteristic. The theoretical analysis of this equation reveals that the coincidence effect of the finite plate occurs at the frequency which simultaneously satisfies the two conditions ; the resonance excitation and the highest effective transformation from the vibration to the radiated sound.