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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.
Based on the wavelet packet analysis, the state equations and observation equations of the structural dynamic system at different analytical scales are deduced. Based on this, the time-frequency characteristics of the structural dynamic response at different analytical scales are studied. The theoretical analysis proves that wavelet packet decomposition Dynamical response obtained by wavelet packet energy spectrum, will be able to characterize the occurrence of structural damage.On this basis, wavelet packet energy spectrum for structural damage and observation of the sensitivity of the noise study, the analysis of the structural system matrix and measurement noise in each analysis scale The results show that the wavelet packet energy spectrum based on structural dynamic response has good damage sensitivity and noise robustness to structural damage warning.