Scattering of sound by a heavily loaded finite elastic plate
Scattering of sound by a heavily loaded finite elastic plate
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重载有限弹性板的声音散射
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
I. Abrahams
中科院分区：
文献类型：
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作者：
I. Abrahams
平面波入射到刚性挡板中的有限平板上，当流体-平板耦合效应较大时，在极限条件下检查散射场。获得渐近解，将外部区域与板的任一边缘处的内部区域相匹配。发现柔性表面上存在波，并且对于板半长 a 的特定值会发生共振。远离共振，外势扩展中的主导项是在没有板的情况下边值问题的解。然而，当接近共振时，在板边缘处具有奇点的特征解也以该顺序出现。
A plane wave is incident onto a finite plate set in a rigid baffle, and the scattered field is examined in the limit when fluid-plate coupling effects are large. An asymptotic solution is obtained, matching an outer region with inner regions at either edge of the plate. Waves are found to be present on the flexible surface, and resonance is shown to occur for particular values of the plate half-length, a. Away from a resonance, the leading term in the expansion of the outer potential is the solution of the boundary value problem in the absence of the plate. As a resonance is approached, however, eigensolutions, with singularities at the plate edges, also become present at this order.