Excitation and scattering of guided waves: Relationships between solutions for plates and pipes
Excitation and scattering of guided waves: Relationships between solutions for plates and pipes
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DOI：
10.1121/1.3117441
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发表时间：
2009-06-01
影响因子：
2.4
通讯作者：
Wilcox, Paul D.
中科院分区：
文献类型：
--
作者：
Velichko, Alexander;Wilcox, Paul D.
利用导弹性波检测管道中的局部缺陷，如裂纹和腐蚀，现在是一种公认的非破坏性检测方法。然而，管道中导波激发和散射的预测是一个复杂的三维问题，参数众多，一般只能用数值方法求解。在许多重要的工业应用中，管道的直径远远大于壁厚。在这种情况下，当管道被视为展开的各向同性板时，近似理论是适用的。本文提出了一种通过求解平板上受力的三维问题来获得管道振型幅值的方法。将同样的原理推广到板中缺陷的导波散射与管道中缺陷的散射周向振型振幅之间的关系。这是有实际意义的，因为板中缺陷对导波的散射比在管道中的问题简单得多，在某些情况下，可以用解析方法来解决。结果表明，该方法在管道环向穿透裂纹反射问题上的应用是可行的。(C)2009年美国声学学会。[DOI：10.1121/1.3117441]
The detection of localized defects such as cracks and corrosion in pipes using guided elastic waves is now an established non-destructive testing procedure. However, the prediction of guided wave excitation and scattering in pipes is a complex three-dimensional (3D) problem with many parameters that can generally only be solved using numerical methods. In many important industrial applications, the diameter of a pipe is much larger than wall thickness. In this case an approximate theory is applicable, when a pipe is considered as an unwrapped isotropic plate. In this paper, a technique for obtaining pipe mode amplitudes in terms of the solution to the forced 3D problem on a plate is presented. The same principle is extended to relate guided wave scattering from defects in plates to scattered circumferential modal amplitudes from defects in pipe. This is of practical benefit as the scattering of guided waves by defects in a plate is a much simpler problem than that in a pipe, and one that, in some cases, can be solved using analytical methods. Results are shown that illustrate the application of the method to reflection from through-thickness circumferential cracks in pipes. (C) 2009 Acoustical Society of America. [DOI: 10.1121/1.3117441]