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针对导波频散特性对圆管纵向导波探伤效果影响的问题,提出一种基于频散特性的外推分析方法,通过优化选取导波检测模式和频率来减少频散特性对圆管纵向导波探伤结果的不良影响。首先应用全局矩阵法推导出多层圆管纵向导波的Pochhammer-Chree频散特性方程,并提出一种能够反映纵向导波传播强弱的截面功率流模型。然后结合外推预测和双尺度迭代逼近过程,给出了导波频散特性以及截面功率流的数值计算方法,并利用计算结果进行分析,提出一种导波检测模式和频率的选择方法。实验表明其结果与理论分析基本一致。上述方法可为圆管损伤检测中导波参数的合理选择提供参考。
Aiming at the problem that the dispersion characteristics of guided waves affect the longitudinal guided wave detection of circular tubes, an extrapolation method based on the dispersion characteristics is proposed. The dispersion and dispersion characteristics are optimized by choosing the guided wave detection modes and frequencies. The adverse effects of wave test results. Firstly, the Pochhammer-Chree dispersion equation of the longitudinal waveguide of multilayer circular tube is deduced by global matrix method, and a cross-sectional power flow model that can reflect the propagation of longitudinal guided waves is proposed. Then combining the extrapolation prediction and the two-scale iterative approximation process, the dispersion characteristics of guided waves and the numerical calculation method of cross-section power flow are given. Based on the calculation results, a method to select guided wave detection mode and frequency is proposed. Experiments show that the results are basically consistent with the theoretical analysis. The above method can provide a reference for the reasonable choice of the guided wave parameters in the detection of circular tube damage.