The acoustic resonance of rectangular and cylindrical cavities
The acoustic resonance of rectangular and cylindrical cavities
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DOI：
10.1260/174830107782424110
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发表时间：
2007-10-01
影响因子：
0.9
通讯作者：
Rona, A.
中科院分区：
文献类型：
--
作者：
Rona, A.
本文研究了矩形和圆柱形刚性腔中的声共振现象。本文从经典线性化声学出发，建立了刚性封闭空间内小振幅声扰动的解析模型。该方法首先应用到一个矩形的几何形状和归一化的模式形状和频率的前六个驻波模式。结果被用来诊断是否可能发生耦合之间的前两个罗西特模式和声学驻波，这可能会导致流动不稳定性的加强。在所选择的测试条件下，该方法指示第二罗西特模式可以与第一纵向声学模式耦合。在近不可压缩的速度下测试的长度与深度比为0.71和2.5的圆柱形腔的声学共振模式预测表明，在外壳中的声学共振模式和主流体动态不稳定性在频率上充分分开，不会彼此强烈相互作用。在这项研究中开发的参数化的分析解决方案，使航空声学工程师诊断是否一个给定的流体动力学不稳定性和声共振之间的耦合可能会影响一个矩形或圆柱形腔组件。
An investigation is conducted on the acoustic resonance that develops in rectangular and cylindrical cavities with rigid walls. An analytical model for the small amplitude acoustic perturbations inside an enclosure with rigid walls is developed from classical linerized acoustics. The method is first applied to a rectangular geometry and the normalized mode shapes and frequencies of the first six standing wave modes are given. The results are used to diagnose whether coupling is likely to occur between the first two Rossiter modes and the acoustic standing waves, which may lead to a reinforcement of the flow instability. At the selected test conditions, the method indicates that the second Rossiter mode can couple with the first longitudinal acoustic mode. The acoustic resonant mode predictions for a cylindrical cavity of length to depth ratios 0.71 and 2.5, tested at near-incompressible speeds, suggest that the acoustic resonant modes and the main fluid dynamic instability in the enclosure are sufficiently apart in frequency not to strongly interact with one another. The parametrized analytical solutions developed in this study enable the aero-acoustic engineer to diagnose whether coupling between a given fluid dynamic instability and acoustic resonance is likely to affect a rectangular or cylindrical cavity component.