受载结构中SH<sub>0</sub>波与裂纹作用的非线性散射场的数值研究

陈荟键; 朱清锋; 苗鸿臣; 冯志强

doi:10.21656/1000-0887.440029

受载结构中SH₀波与裂纹作用的非线性散射场的数值研究

doi: 10.21656/1000-0887.440029

西南交通大学力学与航空航天学院，成都 611756

我刊编委冯志强来稿

基金项目:

国家自然科学基金项目 12172310

四川省自然科学基金项目 2022NSFSC0435

中国科协青年人才托举工程项目 YESS20210342

详细信息

作者简介:
陈荟键(1991—)，男，博士生(E-mail: huijianc@foxmail.com)

通讯作者:
冯志强(1963—)，男，教授，博士生导师(通讯作者. E-mail: zhiqiang.feng@univ-evry.fr)

中图分类号: O343.3
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出版历程
- 收稿日期: 2023-02-02
- 修回日期: 2023-03-01
- 刊出日期: 2023-04-01

Numerical Study of Nonlinear Scattering Characteristics of SH₀ Waves Encountering Cracks in Prestressed Plates

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 611756, P.R.China

Contributed by FENG Zhiqiang, M. AMM Editorial Board

摘要

摘要: 超声导波因具有传播距离远、能量衰减小等优点在结构健康监测领域中被广泛关注. 厘清结构中导波与损伤作用后的散射规律，对于传感器阵列的设计和信号分析均具有重要意义. 通过发展的数值方法，研究了受载结构中零阶水平剪切波(SH₀波)与微裂纹作用的接触声非线性作用规律. 在双势谱方法的基础上，进一步通过mortar方法将谱单元和有限单元进行了耦合，以充分利用谱元法计算导波传播效率高的优点和有限元在离散复杂结构中的优势. 利用该方法计算了板壳结构在自由状态和受载状态下SH₀波与不同角度微裂纹作用的非线性散射场. 结果表明，SH₀波与裂纹作用后的二次谐波散射场关于裂纹面近似对称分布，并且单轴预应力不会改变二次谐波散射场的对称性，仍可以通过散射场的分布来确定微裂纹的取向.
- 水平剪切波 /
- 接触声非线性 /
- 谱元法 /
- 双势接触理论
Abstract: Ultrasonic guided waves are widely used in structural health monitoring (SHM) for their long propagation distances and small energy attenuation. Understanding the scattering characteristics of guided waves encountering defects is essential for the design of transducer arrays and wave signal interpretation in SHM. The contact nonlinear scattering characteristics of the SH₀ wave (zero-order shear horizontal wave) encountering cracks in prestressed plates were investigated. Based on the previously developed bi-potential spectral method, the spectral finite elements (SFEs) and the finite elements (FEs) were further coupled with the mortar method to make full use of the high efficiency of the spectral element method in calculating guided wave propagation and the strong ability of the finite element method in discretizing complex structures. The nonlinear scattering fields of SH₀ waves interacting with microcracks at different angles in plates under free and loaded conditions were calculated with the developed numerical method. The results show that, the induced 2nd harmonic scattering field is approximately symmetrical with respect to the crack direction. Moreover, the existence of uniaxial prestress will not change the symmetry of the 2nd harmonic scattering field, so the orientation of the microcrack can still be determined by the distribution of the scattering field.
- shear horizontal wave /
- contact acoustic nonlinearity /
- spectral element method /
- bi-potential contact theory
edited-by

edited-by
注释:

1) 我刊编委冯志强来稿

HTML全文

图 1 有限元和谱单元耦合示意图

Figure 1. Schematic diagram of the coupling of finite elements and spectral elements

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图 2 Coulomb摩擦锥示意图

Figure 2. Schematic diagram of Coulomb's frictional cone

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图 3 SH₀波与微裂纹作用的非线性散射场计算模型

Figure 3. The calculation model for the nonlinear scattering characteristics of the SH₀ wave encountering cracks in prestressed plates

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图 4 不同角度裂纹建模原理图

Figure 4. Schematic diagram of the crack modeling at different angles

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图 5 不同时刻的非线性散射总位移云图

Figure 5. The nonlinear scattering fields at different moments

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图 6 无损伤和含微裂纹损伤工况下，时域信号和对应频谱图的比较

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 6. Comparison of time domain signals and corresponding frequency spectrums between the pristine case and the microcrack damaged case

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图 7 不同微裂纹取向对应的切向位移二次谐波归一化散射场

Figure 7. Normalized scattering fields of the 2nd harmonics for different microcrack orientations

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图 8 单轴拉伸状态下不同微裂纹取向时的切向位移二次谐波归一化散射场

Figure 8. Normalized scattering fields of the 2nd harmonics under uniaxial tension for different microcrack orientations

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图 9 主瓣方向的二次谐波幅值与拉应力的关系曲线

Figure 9. Relationships between the 2nd harmonic amplitude and the tensile stress in the direction of the main lobe

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图 10 单轴压缩状态下不同微裂纹取向对应的切向位移二次谐波归一化散射场

Figure 10. Normalized scattering fields of the 2nd harmonics under uniaxial compression for different microcrack orientations

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图 11 主瓣方向的二次谐波幅值与压应力的关系曲线

Figure 11. Relationships between the 2nd harmonic amplitude and the compressive stress in the direction of the main lobe

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