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基于小波包分析的大跨桥梁结构损伤预警的理论研究
引用本文:丁幼亮,李爱群,缪长青.基于小波包分析的大跨桥梁结构损伤预警的理论研究[J].东南大学学报,2005,21(4):459-462.
作者姓名:丁幼亮  李爱群  缪长青
作者单位:东南大学土木工程学院,南京210096
摘    要:基于小波包分析推导了结构动力系统在不同分析尺度上的状态方程和观测方程,在此基础上研究了结构动力响应在不同分析尺度上的时-频特性.理论分析证明,采用小波包分解结构的动力响应得到小波包能量谱,将可以表征结构损伤的发生.在此基础上进行了小波包能量谱关于结构损伤和观测噪声的敏感性研究,分析了结构系统矩阵和测量噪声在各个分析尺度上的递推性.结果表明,采用结构动力响应的小波包能量谱进行结构损伤预警具有较好的损伤敏感性和噪声鲁棒性.

关 键 词:结构损伤预警  小波包分析  小波包能量谱  大跨桥梁
收稿时间:03 1 2005 12:00AM

Theoretical research on structural damage alarming of long-span bridges using wavelet packet analysis
Ding Youliang,Li Aiqun,Miao Changqing.Theoretical research on structural damage alarming of long-span bridges using wavelet packet analysis[J].Journal of Southeast University(English Edition),2005,21(4):459-462.
Authors:Ding Youliang  Li Aiqun  Miao Changqing
Institution:College of Civil Engineering, Southeast University, Nanjing 210096, China
Abstract:The state equation and observation equation of the structural dynamic systems under various analysis scales are derived based on wavelet packet analysis.The time-frequency properties of structural dynamic response under various scales are further formulated.The theoretical analysis results reveal that the wavelet packet energy spectrum (WPES) obtained from wavelet packet decomposition of structural dynamic response will detect the presence of structural damage.The sensitivity analysis of the WPES to structural damage and measurement noise is also performed.The transfer properties of the structural system matrix and the observation noise under various analysis scales are formulated,which verify the damage alarming reliability using the proposed WPES with preferable damage sensitivity and noise robusticity.
Keywords:structural damage alarming  wavelet packet analysis  wavelet packet energy spectrum  long-span bridge
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