水中肋条加劲板单次与多次散射的解析解
Analytical solutions for single and multiple scattering from rib-stiffened plates in water
AI总结：
针对水中周期性肋条连接双板的声散射问题，本文提出反射与透射闭式解析解，解释低频等效空气层及高频完美透射机理，并扩展分析双层串联结构。
摘要：
本文研究了水中平面声波与由周期性间隔加劲肋连接的一对板之间的相互作用。这种肋条加劲结构被称为“flex-layer（挠性层）”，因为其低频响应由弯曲刚度主导。其准静态行为等效于一层可压缩流体的均匀层；为便于比较，我们将其认定为空气层。通过这种方式，空气层在声学上等同于由周期性间隔肋条连接的一对薄弹性板。在离散的较高频率处，flex-layer表现出完美声透射，其原因被确定为在肋条之间来回传播的流体载荷板波。flex-layer的低频和有限频率行为均由反射与透射的闭式解得到完整解释。该解析模型被扩展至两个串联的flex-layer，引入了新的低频和高频现象，并通过简单的集总参数模型加以解释。
英文摘要：
The interaction of an acoustic plane wave with a pair of plates connected by periodically spaced stiffeners in water is considered. The rib-stiffened structure is called a "flex-layer" because its low frequency response is dominated by bending stiffness. The quasi-static behavior is equivalent a homogeneous layer of compressible fluid, which we identify as air for the purposes of comparison. In this way an air layer is acoustically the same as a pair of thin elastic plates connected by a periodic spacing of ribs. At discrete higher frequencies the flex-layer exhibits perfect acoustic transmission, the cause of which is identified as fluid-loaded plate waves propagating back and forth between the ribs. Both the low and finite frequency behavior of the flex-layer are fully explained by closed-form solutions for reflection and transmission. The analytical model is extended to two flex-layers in series, introducing new low and high frequency phenomena that are explained in terms of simple lumped parameter models.
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