Scattering of plane guided waves obliquely incident on a straight feature with uniform cross-section.
Scattering of plane guided waves obliquely incident on a straight feature with uniform cross-section.
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DOI：
10.1121/1.3488663
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发表时间：
2010-11
期刊：
影响因子：
--
通讯作者：
P. Wilcox;A. Velichko;B. Drinkwater;A. Croxford;M. Todd
中科院分区：
文献类型：
--
作者：
P. Wilcox;A. Velichko;B. Drinkwater;A. Croxford;M. Todd
提出了一种频域有限元方法，用于模拟平面波导中无限长、均匀截面的直特征上入射的平面导波的散射。该方法利用了一个网格的2维有限元与谐波形状函数在垂直方向。模型域包括穿过特征的横截面和邻接主波导的短长度。一个空间频率等于所需的入射模式的波数乘以所需的入射角的正弦规定的元素形状函数。的入射模式的积分表示用于确定一个合适的系统的谐波力唯一地激发该模式。这些应用在穿过特征的一侧上的主波导的厚度的节点处。位移场在节点处测量，穿过特征任一侧上的主波导的厚度，并分解成反射和透射模式。导波传输的情况下，在一个无特征的波导和导波从自由边缘的反射检查作为验证情况。最后，在胶粘剂粘接加强筋传输的结果，并与实验测量进行比较。
A frequency-domain finite element (FE) method is presented for modeling the scattering of plane guided waves incident on an infinitely-long, straight feature with uniform cross-section in a planar host waveguide. The method utilizes a mesh of 2-dimensional finite elements with harmonic shape functions in the perpendicular direction. The model domain comprises a cross-section through the feature and short lengths of the adjoining host waveguide. A spatial frequency equal to the wavenumber of the desired incident mode multiplied by the sine of the desired incidence angle is prescribed for the element shape functions. An integral representation of the incident mode is used to determine a suitable system of harmonic forces to uniquely excite that mode. These are applied at nodes through the thickness of the host waveguide on one side of the feature. The displacement field is measured at nodes through the thickness of the host waveguide on either side of the feature and decomposed into reflected and transmitted modes. The cases of guided wave transmission in a featureless waveguide and the reflection of guided waves from a free-edge are examined as validation cases. Finally, the results for transmission at an adhesively-bonded stiffener are presented and compared with experimental measurements.