基于互相关函数幅值向量和小波变换的复合材料结构损伤检测
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摘要
提出了一种基于互相关函数幅值向量(Cross correlation function amplitude vector,CorV)和连续小波变换(continuous wavelet transform,CWT)联合检测损伤的方法。选取双正交小波函数,首先计算随机激励下完好结构和损伤结构的互相关函数幅值向量,再分别对其进行连续小波变换,根据损伤前后小波系数的变化来检测结构的损伤,并以小波系数差的模最大值作为损伤指标来进行损伤定位。该方法无需对结构建模,仅需获取结构损伤前后的时域响应信号。通过对带有不同位置分层损伤的复合材料层合梁和层合板损伤检测的数值仿真,验证了用该方法检测复合材料结构分层损伤的有效性。
A hybrid method combining the correlation function amplitude vector(CorV)and the continuous wavelet transform (CWT) was proposed to detect damage of composite structures.In the method,only the time domain signals of the intact and damaged structure were required in the detection procedure.The CorVs between the time domain responses of the intact and damaged structures under steady random excitation were calculated and then analyzed by continuous wavelet transform,where the biorthogonal wavelet function was adopted.The damage of the structure can be identified by the difference between wavelet coefficients of the intact and damaged structures.The damage location was determined by the maximum value of the modulus of the coefficients difference obtained from CorVs.The feasibility and effectiveness of the proposed hybrid method is verified by numerical simulations of delamination damage detection of a composite beam and a laminate plate.
A hybrid method combining the correlation function amplitude vector(CorV)and the continuous wavelet transform (CWT) was proposed to detect damage of composite structures.In the method,only the time domain signals of the intact and damaged structure were required in the detection procedure.The CorVs between the time domain responses of the intact and damaged structures under steady random excitation were calculated and then analyzed by continuous wavelet transform,where the biorthogonal wavelet function was adopted.The damage of the structure can be identified by the difference between wavelet coefficients of the intact and damaged structures.The damage location was determined by the maximum value of the modulus of the coefficients difference obtained from CorVs.The feasibility and effectiveness of the proposed hybrid method is verified by numerical simulations of delamination damage detection of a composite beam and a laminate plate.
引文
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[9]Yu L,Cheng L,Yam L H,Yan Y J,et al.Experimental vali- dation of vibration-based damage detection for static laminated composite shells partially filled with fluid[J].Composite Structures,2007,79(2):288-299.
[10]于哲峰，杨智春．基于互相关函数幅值向量的结构损伤定位方法研究。振动与冲击2006，25(3)77-80．
[11]Castro E,García-Hernandez M T,Gallego A.Damage detec- tion in rods by means of the wavelet analysis of vibrations:In- fluence of the mode order[J].Journal of Sound and Vibration 2006,296:1028-1038.
[12]张伟伟，王志华，马宏伟．基于小波分析的悬臂梁裂纹参数识别方法研究[J]．机械强度，2007，29(2)：201-205．
[2]董长虹，高志，余海啸．Matlab小波分析工具箱原理与应用[M]．北京：国防工业出版社，2004．
[3]孙增寿，韩建刚，任伟新．基于小波分析的结构损伤检测研究进展[J]．地震工程与工程振动，2005，02：93-99．
[4]冉志红，李乔．小波变换在结构损伤识别特征提取中的应用[J]．振动与冲击，2007，26(7)118—121．
[5]Yang Zhichun,Yu Zhefeng,Sun Hao.On the cross correla- tion function amplitude vector and its application to structural damage detection[J].Mechanical Systems and Signal Pro- cessing,2007,21:2918-2932.
[6]Rucka M,Wilde K.Application of continuous wavelet trans- form in vibration based damage detection method for beams and plates[J].Journal of Sound and Vibration,2006,297: 536-550.
[7]孙增寿，韩建刚，任伟新．基于曲率模态和小波变换的结构损伤识别方法[J]．振动、测试与诊断，2005，25(4)：263-267．
[8]Li Helong,Deng Xiaoyan,Dai Hongliang.Structural damage detection using the combination method of EMD and wavelet analysis[J].Mechanical Systems and Signal Processing, 2007,21:298-306.
[9]Yu L,Cheng L,Yam L H,Yan Y J,et al.Experimental vali- dation of vibration-based damage detection for static laminated composite shells partially filled with fluid[J].Composite Structures,2007,79(2):288-299.
[10]于哲峰，杨智春．基于互相关函数幅值向量的结构损伤定位方法研究。振动与冲击2006，25(3)77-80．
[11]Castro E,García-Hernandez M T,Gallego A.Damage detec- tion in rods by means of the wavelet analysis of vibrations:In- fluence of the mode order[J].Journal of Sound and Vibration 2006,296:1028-1038.
[12]张伟伟，王志华，马宏伟．基于小波分析的悬臂梁裂纹参数识别方法研究[J]．机械强度，2007，29(2)：201-205．
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