Magliula Elizabeth, McDaniel J Gregory
Naval Undersea Warfare Center, Division Newport, Newport, Rhode Island 02842, USA.
J Acoust Soc Am. 2008 May;123(5):EL116-20. doi: 10.1121/1.2896104.
Orthotropic plates support flexural waves with wavenumbers that depend on their angle of propagation. The present work investigates the effect of fluid loading on this angular dependence, and finds that the effect is relatively small for typical composite plate materials in contact with water. This finding results from an analytical model of the fluid-loaded plate, in which the plate is modeled by classical laminated plate theory and the fluid is modeled as an ideal acoustic fluid. The resulting dispersion relation is a tenth-order polynomial in the flexural wavenumber. Direct numerical solution, as well as analysis at frequencies below coincidence, reveals that the angular dependence of wavenumber is magnified but not significantly distorted by the addition of fluid loading.
正交各向异性板支持波数取决于其传播角度的弯曲波。本研究调查了流体负载对这种角度依赖性的影响，发现对于与水接触的典型复合材料板，这种影响相对较小。这一发现源于流体负载板的解析模型，其中板由经典层合板理论建模，流体被建模为理想声学流体。所得的色散关系是弯曲波数的十阶多项式。直接数值解以及低于耦合频率的分析表明，流体负载的加入会放大波数的角度依赖性，但不会使其显著失真。
