Optimal shaping of acoustic resonators for the generation of high-amplitude standing waves.
Optimal shaping of acoustic resonators for the generation of high-amplitude standing waves.
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DOI：
10.1121/1.4892751
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发表时间：
2014-09
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影响因子：
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通讯作者：
M. Červenka;Martin Šoltés;M. Bednarik
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文献类型：
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作者：
M. Červenka;Martin Šoltés;M. Bednarik
在本文中，通过使用进化算法讨论了产生高振幅驻波的声学谐振器的最佳形状。谐振器的形状是用三次样条连接的控制点来描述的。控制点的位置是通过一种进化算法计算，以最大的声压振幅在谐振腔的给定点。采用考虑边界层耗散的一维线性波动方程的数值解作为优化过程的目标函数。在活塞、振动器或扬声器驱动的情况下，可以发现最大声压振幅的谐振器形状。结果表明，谐振腔的最佳形状取决于驱动方式。在所有情况下，优化谐振腔中的声场振幅都高于相似尺寸的简单形状非优化谐振腔。以扬声器驱动为例，将理论结果与实验数据进行了比较，两者吻合较好。
Within this paper, optimal shaping of acoustic resonators for the generation of high-amplitude standing waves through the use of evolutionary algorithms is discussed. The resonator shapes are described using sets of control points interconnected with cubic-splines. Positions of the control points are calculated by means of an evolutionary algorithm in order to maximize acoustic pressure amplitude at a given point of the resonator cavity. As an objective function for the optimization procedure, numerical solution of one-dimensional linear wave equation taking into account boundary-layer dissipation is used. Resonator shapes maximizing acoustic pressure amplitude are found in case of a piston, shaker, or loudspeaker driving. It is shown that the optimum resonator shapes depend on the method of driving. In all the cases, acoustic field attains higher amplitude in the optimized resonators than in simple-shaped non-optimized resonators of similar dimensions. Theoretical results are compared with experimental data in the case of a loudspeaker driving, good agreement of which is achieved.