基于小波包能量变异最值指数的RC框架损伤识别
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摘要
小波包变换可以将振动信号按任意时频分辨率分解到不同频带,而各频带信号的能量变化包含着丰富的损伤信息。结合八层框架模型模拟地震振动台试验结果,对不同工况下的结构加速度时程响应进行小波包分解和重构,得到小波包能量谱。对不同频带下的小波包能量谱进行统计分析,利用小波包能量变异极值指数对框架结构的损伤进行评定。结果表明:损伤程度不同,小波包能量变异极值指数明显不同。因此可将小波包能量变异最值指数作为损伤程度的指标进行损伤识别。
Wavelet packet transform can decompose a vibration signal into different frequency bands at random time-frequency resolutions.Energy changes of signals at various frequency bands contain rich information that may be used in damage identification.With the shake table test results of an eight-story frame model,the wavelet packet is applied into the decomposition and reconstruction of the acceleration responses,and the energy spectrum is obtained.The maximum variation index of wavelet packet energy spectrum was obtained through statistical analysis of the energy spectrum at different frequency bands.Experiments demonstrate under different damage conditions,there are obvions differences among the maximum variation index of wavelet packet energy spectrum.Therefore,the maximum variation index of wavelet packet energy spectrum can be used for structural damage detecting.
Wavelet packet transform can decompose a vibration signal into different frequency bands at random time-frequency resolutions.Energy changes of signals at various frequency bands contain rich information that may be used in damage identification.With the shake table test results of an eight-story frame model,the wavelet packet is applied into the decomposition and reconstruction of the acceleration responses,and the energy spectrum is obtained.The maximum variation index of wavelet packet energy spectrum was obtained through statistical analysis of the energy spectrum at different frequency bands.Experiments demonstrate under different damage conditions,there are obvions differences among the maximum variation index of wavelet packet energy spectrum.Therefore,the maximum variation index of wavelet packet energy spectrum can be used for structural damage detecting.
引文
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[9]Daubechies I.Orthonormal bases of compactly sup-ported wavelets[J].Comm Pure Appl Math,1988,41:909-996.
[2]胡昌华,张军波,夏军,等.基于MATLAB的系统分析与设计:小波分析[M].西安:西安电子科技大学出版社,2001.Hu Changhua,Zhang Junbo,Xia Jun,et al.Systemanalysis and design based on MATLAB:wavelettransform[M].Xi'an:Xidian University Press,2001.(in Chinese)
[3]张小琼,林维正.小波包分析在混凝土检测中的应用[J].声学技术,2002,21(3):134-136.Zhang Xiaoqiong,Lin Weizheng.Wavelet packets a-nalysis in the application of concrete detecting[J].Technical Acoustics,2002,21(3):134-136.(inChinese)
[4]丁幼亮,李爱群,韩晓林.基于小波包分析的结构实时损伤报警数值研究[J].东南大学学报(自然科学版),2003,33(5):643-646.Ding Youliang,Li Aiqun,Han Xiaolin.Numericalresearch on real-time structural damage alarmingbased on wavelet packet analysis[J].Journal ofSoutheast University(Natural Science Edition),2003,33(5):643-646.(in Chinese)
[5]任宜春.小波分析在土木工程结构损伤识别中的应用[M].长沙:湖南师范大学出版社,2010.Ren Yichun.Application of wavelet transform in dam-age identification of civil engineering structures[M].Changsha:Hunan Normal University Press,2010.(in Chinese)
[6]丁幼亮,李爱群,缪长青,等.基于小波包能量谱的大跨桥梁结构损伤预警指标[J].中国公路学报,2006,19(5):34-40.Ding Youliang,Li Aiqun,Miao Changqing,et al.Structural damage alarming indices for long-spanbridges based on wavelet packet energy spectrum[J].China Journal of Highway and Transport,2006,19(5):34-40.(in Chinese)
[7]李胡生,石春香,刘钰杰.基于小波包能量变异极值指数的结构损伤识别及实验研究[J].四川建筑,2006,30(4):152-154.Li Husheng,Shi Chunxiang,Liu Yujie.Damage de-tection and experiment research based on the maxi-mum variation index of wavelet packet energy spec-trum[J].Sichuan Architecture,2006,30(4):152-154.(in Chinese)
[8]张翠强.八层再生混凝土框架结构模型模拟地震振动台试验研究报告[R].同济大学土木工程防灾国家重点实验室,2011.Zhang Cuiqiang.Report on the shake table test of aneight-story recycled-concrete frame model[R].StateKey Laboratory of Disaster Reduction in Civil Engi-neering,Tongji University,2011.(in Chinese)
[9]Daubechies I.Orthonormal bases of compactly sup-ported wavelets[J].Comm Pure Appl Math,1988,41:909-996.
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