Guided circumferential waves in a circular annulus
Guided circumferential waves in a circular annulus
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DOI：
10.1115/1.2789071
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发表时间：
1998-06-01
影响因子：
2.6
通讯作者：
Qu, JM
中科院分区：
文献类型：
--
作者：
Liu, GL;Qu, JM
本文将二维圆环视为波导。研究了沿圆周方向传播的引导稳态时谐波波。发现引导的周向波是色散的。解析推导了色散方程，并给出了频率色散曲线的数值示例。还获得了前五种传播模式在环壁厚度上的位移分布。此外，还讨论了无限曲率半径渐近极限下平板与环面之间的类比，以揭示弯曲波导固有的一些有趣的波现象。
A two-dimensional circular annulus is considered in this paper as a waveguide. The guided steady-state time-harmonic waves propagating in the circumferential direction are studied. It is found that the guided circumferential waves are dispersive. The dispersion equation is derived analytically and numerical examples are presented for the frequency dispersion curves. The displacement profiles across the wall thickness of the annulus are also obtained for the first five propagating modes, In addition the analogy, between a flat plate and an annulus in the asymptotic limit of infinite radius of curvature is discussed to reveal some interesting wave phenomena intrinsic to curved waveguides.