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Quantitative Damage Identification of Frame Structure Based on Wavelet Packet Energy Curvature Difference Under Environmental Excitation
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摘要: 损伤识别指标小波包能量曲率差对结构损伤定位的有效性已通过数值仿真、室内试验和工程项目的验证，但缺乏对结构损伤定量的分析。以3层空间框架结构为研究对象，采用有限元软件ABAQUS进行数值模拟和动力时程分析，引入虚拟脉冲响应函数，考察结构外部激励、损伤程度、损伤位置和弹性模量对其识别效果的影响，研究小波包能量曲率差对结构损伤程度的定量估计。结果表明：引入虚拟脉冲响应函数不影响小波包能量曲率差的损伤定位识别效果，并可有效减弱外部激励对其的影响；结构损伤程度、损伤位置对其有影响，弹性模量大于3.0×1010 Pa （包括等于3.0×1010 Pa）时对其无影响；通过数值拟合公式可以有效地定量识别结构损伤程度。Abstract: The effectiveness of the wavelet packet energy curvature difference for damage identification has been verified by numerical simulations, laboratory tests, and engineering projects, but the quantitative analysis of structural damage is lacking. Taking the three-layer space frame structure as the research object, this study used the finite element software Abaqus for numerical simulation and dynamic time history analysis. Moreover, it introduced the virtual impulse response function to investigate the effects of the external structural excitation, damage degree, damage location, and elastic modulus on its recognition effect and study the quantitative estimation of the degree of structural damage by the wavelet packet energy curvature difference. The results indicate that the introduction of the virtual impulse response function does not affect the damage-location recognition effect of the wavelet packet energy curvature difference and can effectively reduce the influence of external excitation. The structural damage degree and damage location, however, have an impact on it, and when the elastic modulus is equal to or greater than 3.0×1010 Pa, it exerts no influence. The numerical fitting formula can effectively identify the degree of structural damage in a quantitative manner.
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