曲率模态小波分析在桥梁损伤检测中的应用

运用连续小波变换对不同缺陷简支梁的曲率模态进行分析。结果表明，根据曲率模态的小波变换系数可以确定结构的损伤位置。若损伤位置处于振型的平衡位置附近，则可以将多阶曲率模态的小波变换结果进行叠加，根据叠加以后的小波变换系数依然可以判断结构损伤的位置。进一步研究表明，结构损伤程度与小波变换系数峰值大小之间没有必然的联系，其峰值仅仅指示结构损伤的位置，需要其他指标来确定结构损伤程度与损伤指标之间的定量关系。

Application of Wavelet Analysis of Curvature Modal to Damage Detection of Bridges

In the paper, continuous wavelet transform (CWT) is applied to curvature modal analysis of simply supported beams with various defects. The results show that it is possible to determine the damage location of structural based on wavelet transform coefficients of curvatures of mode shapes. If the damage location is near to the equilibrium position of vibration, we can identify the damage location according to the superposition results of wavelet transform coefficients of curvatures of mode shapes. The further results show that there is no necessary relationship between the damage degree of structure and the wavelet transform coefficient. The peaks of wavelet transform coefficient only indicate the damage location of structural. It is necessary to explore other indicator to determine the quantitative relationship between the indicator and the damage degree.