Department of Mathematics, Brunel University, Uxbridge UB8 3PH, United Kingdom.
J Acoust Soc Am. 2013 Sep;134(3):1939-49. doi: 10.1121/1.4817891.
The scattering of a fluid-structure coupled wave at a flanged junction between two flexible waveguides is investigated. The flange is assumed to be rigid on one side and soft on the other; this enables a solution to be formulated using mode-matching. It is shown that both the choice of the edge conditions imposed on the plates at the junction and the choice of incident forcing significantly affect the transmission of energy along the duct. In particular, the edge conditions crucially affect the transmission of structure-borne vibration but have little effect on fluid-borne noise. Given the singular nature of the velocity field at the flange tip, particular attention is paid to the validity of the mode-matching method. It is demonstrated that the velocity field can be accurately reconstructed by incorporating the Lanczos filter into the truncated modal expansions. The mode-matching method is thus confirmed as an viable tool for this class of problem.
研究了在两个柔性波导之间的带法兰连接处以波的形式进行的流固耦合散射。假设法兰的一侧刚性，另一侧柔软；这使得可以使用模式匹配来制定解决方案。结果表明，连接处以的板上施加的边缘条件的选择以及入射力的选择都对沿管道传输能量产生显著影响。特别地，边缘条件对结构传播振动的传输有重要影响，但对流体传播噪声几乎没有影响。鉴于法兰尖端的速度场的奇异性质，特别关注模式匹配方法的有效性。结果表明，通过将 Lanczos 滤波器纳入截断模态展开中，可以精确地重建速度场。因此，模式匹配方法被确认为此类问题的可行工具。
