On the Optimization of an Acoustic Resonator Shape with Respect to Acoustic Pressure Amplitude
On the Optimization of an Acoustic Resonator Shape with Respect to Acoustic Pressure Amplitude
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DOI：
10.3813/aaa.918601
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发表时间：
2013-03-01
影响因子：
--
通讯作者：
Bednarik, Michal
中科院分区：
文献类型：
--
作者：
Cervenka, Milan;Bednarik, Michal
本文讨论了声学谐振器形状的优化，以最大化声压幅度。谐振器形状是使用三次样条来描述的，三次样条将一组控制点互连起来，这些控制点的位置是使用进化算法来确定的。作为目标函数，使用修正韦氏方程的数值解。数值结果表明，优化的谐振器形状相当简单，它们对于活塞或振动器驱动有所不同，并且基本谐振频率低于恒定横截面谐振器的情况。非线性理论用于评估优化谐振器中的有限振幅场。
This paper deals with the optimization of an acoustic resonator shape in order to maximize acoustic pressure amplitude. The resonator shape is described using the cubic splines which interconnect a set of control points whose positions are determined using an evolutionary algorithm. As an objective function, numerical solution of modified Webster's equation is used. Numerical results show that the optimized resonators are rather simple-shaped, they differ for a piston-or shaker-driving and the fundamental resonance frequencies are lower than in the case of a constant-cross-section resonator. A nonlinear theory is used for assessment of finite-amplitude fields in the optimized resonators.