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线性共振声谱法可以用来检测含有线性弹性张量的物体缺陷,根据共振频率偏移、几何形状和密度共同确定在样本中的位置。但是如果是微小缺陷,应力和应变会呈现非线性关系,因此非线性共振声谱法是通过研究振幅和共振频率的关系来确定缺陷的位置和非线性的程度。本文采用非线性共振声谱法分析非对称边界条件下的缺陷,给出非对称边界经典非线性和非经典非线性下的共振频率偏移及高次谐波表达式,并且数值模拟结果表明此方法可以清楚分辨左、右缺陷的位置。
Linear resonance sonography can be used to detect object defects that contain linear elastic tensors that together determine the position in the sample based on resonance frequency shift, geometry, and density. However, if it is a minor defect, the stress and strain will show a nonlinear relationship, so non-linear resonance spectroscopy is to study the relationship between amplitude and resonant frequency to determine the position of the defect and the degree of non-linearity. In this paper, nonlinear resonance spectroscopy is used to analyze the defects under asymmetric boundary conditions. The resonance frequency shift and higher harmonic expression are given under the non-classical and non-classical nonlinear boundary conditions. The numerical simulation results show that this Method can clearly distinguish the location of left and right defects.