基于小波分析的裂纹梁的损伤识别

Wavelet analysis and filters for crack identification

阐述了一种基于小波变换的含裂纹梁的损伤识别方法,利用含裂纹梁的一阶模态阵型作为小波分析的力学特征信号,识别损伤的位置和大小。利用小波分析系数的模极大值随分析尺度的传播定位损伤的位置,计算针对于损伤频率信号的能量判断损伤的大小。与以前的小波分析方法相比,此方法确定损伤位置的可靠性高,能识别微小的损伤。利用能量守恒定理和小波分析频段细化的能力,裂纹的定量分辨率高。

It a method for crack identification in beam structures based on wavelet analysis is presented. The fundamental vibration mode of a cracked cantilever beam is analyzed using continuous wavelet transform and both the location and size of the crack are estimated. The position of the crack is located by the spread of maximum Wavelet analysis coefficient along with analysis scale. To estimate the size of the crack ,A crack frequency energy of signals is calculated using the coefficients of the wavelet transform which relates the size of the crack. The advantage of the proposed method is high reliability of location and title size in crack identification. High resolving power of crack identification is based on the band refining capacity of wavelet analysis using energy conservation theorem.