Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México Campus Juriquilla, Boulevard Juriquilla No. 3001 Juriquilla, Querétaro, Código Postal 76230, México.
J Acoust Soc Am. 2011 Jul;130(1):546-56. doi: 10.1121/1.3592235.
This paper was based on a theoretical framework to determine strong and weak radiation by a guitar top plate, vibrating through deflections hard to analyze: multipolar mode shapes. The air-structure interaction was examined in terms of edge modes or corner modes, and considering even or odd number modes. A numerical model was implemented and experimentally calibrated, exhibiting several advantages exploring the coupling between vibratory and acoustic waves in a top plate. Two analyses were applied detecting high or low radiation efficiency for the structure. First, the addition of volume velocity for odd numbers of poles and cancellation for even numbers were examined. In fact, both behaviors can happen at the same time, as it was shown for a corner radiator case used as an example. Second, the ratio between bending and acoustic wavenumbers was explored. To illustrate the importance of this ratio, some theoretical features of a more efficient radiator than the corner mode were exposed in an edge mode example. Labeling multipolar mode shapes as efficient or inefficient radiators showed to be a useful alternative analyzing the top plate behavior. It can be applied knowing the nodal lines of the vibration pattern and estimating the bending and acoustic wavelengths.
本文基于一个理论框架，通过难以分析的多极振型来确定吉他面板的强辐射和弱辐射。从边缘模式或角模式的角度研究了空气-结构的相互作用，并考虑了偶数或奇数模式。实施了一个数值模型并进行了实验校准，展示了探索面板中振动波和声波之间耦合的几个优点。应用了两种分析方法来检测结构的高或低辐射效率。首先，研究了奇数极的体积速度增加和偶数极的体积速度抵消的情况。实际上，正如一个角辐射器的例子所示，这两种情况可以同时发生。其次，还探索了弯曲波数和声波数的比值。为了说明这个比值的重要性，通过边缘模式的例子展示了一个比角模式更有效的辐射器的一些理论特性。将多极振型标记为高效或低效辐射器，这是分析面板行为的一种有用的方法。可以通过了解振动模式的节点线并估计弯曲波和声波波长来应用这个方法。
