The present work highlights the scattering of fluid–structure coupled waves through a wave-bearing cavity in rigid waveguide. The cavity is filled with compressible fluid and comprises horizontal as well as vertical elastic boundaries. The mode-matching technique is extended by tailored-Galerkin and Galerkin procedures to incorporate the vibrational response of the vertical elastic components having different sets of edge conditions. It is found that in mode-matching tailored-Galerkin (MMTG) method, a unique general description of the displacement of vertical elastic component can deal with a variety of edge conditions, whereas the mode-matching Galerkin (MMG) technique relies upon the orthogonal basis a priori whose description varies by changing the edge conditions of vertical elastic components. Accordingly, for some sets of edge conditions the eigenvalues cannot be expressed explicitly and must be found numerically. The eigenmodes of the cavity region satisfy the generalized orthogonal conditions which ensure the point-wise convergence of MMTG and MMG approaches. Moreover, the truncated MMTG and MMG solutions reconstruct the matching conditions as well as satisfying the conserved power identity. It confirms the accuracy of performed algebra and retained solutions. From the numerical results it is found that by varying the conditions on the edges of bridging elastic components, the stopbands can be enhanced and shifted as well as broadened over the certain frequency regimes.

目前的工作强调了流体结构耦合波通过刚性波导中的承载波腔的散射。空腔充满可压缩流体，包括水平和垂直弹性边界。模式匹配技术通过定制伽辽金和伽辽金程序进行扩展，以结合具有不同边缘条件集的垂直弹性组件的振动响应。发现在模式匹配剪裁伽辽金 (MMTG) 方法中，对垂直弹性分量位移的独特一般描述可以处理各种边缘条件，而模式匹配伽辽金 (MMG) 技术依赖于正交先验基础其描述因改变垂直弹性分量的边缘条件而变化。因此，对于某些边缘条件集，特征值无法明确表达，必须通过数字找到。腔区域的本征模式满足广义正交条件，确保 MMTG 和 MMG 方法的逐点收敛。此外，截断的 MMTG 和 MMG 解重建匹配条件以及满足守恒功率恒等式。它确认了执行代数和保留解的准确性。从数值结果中发现，通过改变桥接弹性组件边缘的条件，可以在某些频率范围内增强、移动和加宽阻带。