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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Influence of acoustic dominant mode propagation in a trifurcated lined duct with different impedances
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Influence of acoustic dominant mode propagation in a trifurcated lined duct with different impedances

机译：不同阻抗的三叉衬里管道中声主模传播的影响

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摘要

In this study, we analyzed the diffraction of the acoustic dominant mode in a parallel-plate trifurcated waveguide with normal impedance boundary conditions in the case where surface impedances of the upper and lower infinite plates are different from each other. The acoustic dominant mode is incident in a soft/hard semi-infinite duct located symmetrically in the infinite lined duct. The solution of the boundary value problem using Fourier transform leads to two simultaneous modified Wiener-Hopf equations that are uncoupled using the pole removal technique. Two infinite sets of unknown coefficients are involved in the solution, which satisfy two infinite systems of linear algebraic equations. These systems are solved numerically. The new kernel functions are factorized. Some graphical results showing the influence of sundry parameters of interest on the reflection coefficient are presented.
机译：在这项研究中，我们分析了在上下无限板的表面阻抗互不相同的情况下，在具有正常阻抗边界条件的平行板三叉波导中声主模的衍射。声主导模入射在对称地位于无限衬里管道中的软/硬半无限管道中。使用傅立叶变换解决边值问题导致了两个同时修改的维纳-霍夫方程，这些方程使用极点去除技术解耦。解中涉及两个无限的未知系数集，它们满足两个线性代数方程的无限系统。这些系统通过数值求解。新的内核函数已分解。一些图形结果显示了感兴趣的杂物参数对反射系数的影响。

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