A New Procedure for Exploring the Dispersion Characteristics of Longitudinal Guided Waves in a Multi-layered Tube with a Weak Interface
A New Procedure for Exploring the Dispersion Characteristics of Longitudinal Guided Waves in a Multi-layered Tube with a Weak Interface
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DOI：
10.1007/s10921-013-0179-7
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发表时间：
2013-04
影响因子：
2.8
通讯作者：
B. Yu;Shi-xi Yang;C. Gan;H. Lei
中科院分区：
文献类型：
--
作者：
B. Yu;Shi-xi Yang;C. Gan;H. Lei
纵向导波的频散特性在多层圆管缺陷检测中起着重要的作用。本文提出了一种新的方法来研究具有弱界面的多层圆管中的色散特性。首先建立数学方程组，然后利用谱方法在整个轴向波数范围内求出近似解，并在局部轴向波数范围内发展了常用的求根方法，以提高解的精度。在此基础上，设计了一种算法，并应用于具有完整界面和弱界面的双层圆管的数值算例。结果表明，该方法既保持了谱方法的有效性，又保持了求根方法的准确性，可以有效地应用于弱界面多层圆管的纵向导波缺陷检测。
Dispersion characteristic of longitudinal guided wave plays an important role in detecting defect of multi-layered tube. Here, a new procedure is proposed to explore such dispersion characteristic in a kind of multi-layered tube with weak interface. The mathematical equations are firstly established, from which the spectral method is applied to get an approximate solution in the whole axial wave number range, and the customary root-finding approach is then developed to improve the solution’s accuracy in some local axial wave number regions. Based on the above procedure, an algorithm is designed and applied to several numerical examples for a two-layered tube with the intact and weak interfaces. The results show that the present procedure preserves both the efficiency of the spectral method and the accuracy of the root-finding approach, and can be employed in defect detection by longitudinal guided wave on the multi-layered tube with weak interface effectively.