Transmission of elastic waves from a cylinder to an attached flat plate
Transmission of elastic waves from a cylinder to an attached flat plate
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DOI：
10.1006/jsvi.1995.0487
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发表时间：
1995-10
影响因子：
4.7
通讯作者：
A. Schlesinger
中科院分区：
文献类型：
--
作者：
A. Schlesinger
本文讨论了弹性波沿沿着传播的方程。这些波中的大多数涉及耦合的轴向、周向和表面外（弯曲）位移。方程也开发了无损耗平板上的向外行波，其中径向和横向运动一般耦合，但不耦合的弯曲位移。考虑圆柱体和具有匹配切口的附接板的接合处的边界条件导致一组方程，从该方程中发现由圆柱体上的入射波撞击接合处而产生的反射和透射波振幅。从这些计算的耦合损耗因子相关的扩散谐振场的圆柱体上的功率传输到平面内和弯曲波的板。由于柱面波的各种位移的耦合，耦合损耗因子的定义变得复杂。图的耦合损耗因子对频率的两种配置，并与有限的实验数据的理论进行了比较。
Equations are reviewed for elastic waves propagating along a lossless circular cylinder. Most of these waves involve coupled axial, circumferential and out-of-surface (bending) displacements. Equations are also developed for outward travelling waves on a lossless flat plate, for which the radial and transverse motions are in general coupled, but are uncoupled from bending displacements. Consideration of the boundary conditions at the junction of a cylinder and an attached plate having a matching cut-out leads to a set of equations from which are found reflected and transmitted wave amplitudes resulting from an incoming wave on the cylinder impinging on the junction. From these are calculated the coupling loss factors relating diffuse resonant fields on the cylinder to power transmitted to in-plane and bending waves on the plate. A complication arises in the definition of the coupling loss factors because of the coupling of the various displacements of the cylinder waves. Graphs of coupling loss factors against frequency are presented for two configurations, and the theory is compared with the limited amount of experimental data available.