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应用于桥梁损伤识别的小波空间变换基函数敏感性探讨

Mother Wavelets Sensitivity Analysis of Bridge Damage Detection by Spatial Wavelet Transforms

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【作者】 薛祥霍达滕海文李宁波

【Author】 Xue Xiang~1,Huo Da~2,Teng Haiwen~2,Li Ningbo~3 (1 Beijing Geotechnical Institute,Beijing 100038,China;2 Faculty ofArchitectural Engineering,Beijing University of Technology,Beijing 100022,China;3 Department of CivilEngineering,Tsinghua University,Beijing 100084,China)

【机构】 北京市勘察设计研究院北京工业大学建筑工程学院清华大学土木系

【摘要】 用不同的小波基函数对不同边界约束和不同损伤形式梁桥的空间分布信号进行变换,从而研究小波基函数的敏感性。结合小波奇异性检测原理与仿真试验,采用统计分析的方法,研究小波基函数的特性及其相互关系、不同小波基函数对不同损伤奇异信号的敏感性,以及小波分析对测试信号在噪声条件下的敏感性与可靠性。结果表明:桥梁损伤空间信号的小波变换都能够识别桥梁已经发生的损伤位置或区域,gauss2,coif1~coif4,bior2.2~bior2.4等几种紧支撑的、正则性和对称性较好的基函数对损伤信号更为敏感。

【Abstract】 To different boundary conditions and different damage forms,this paper presents a technique for bridge damage detection by using spatial wavelet transforms,and then the sensitivity of different wavelet functions is investigated.According to the wavelet transform theories of abnormal signal detection and combine the numerical experiments of bridge damage detection,the characteristics of wavelet function and the relations that between them are analyzed completely,and the sensitivity of different wavelet functions to different signal types of damaged bridge are investigated by statistical method.The results show that spatial wavelet analysis is capable to detection the damaged position or district accurately to most wavelet function,while the gauss2,coif1 ~ coif4 and bior2.2 ~ bior2.4,which compactly supported and smooth and symmetrical are more sensitive and dependable wavelets.

  • 【会议录名称】 首届全国既有结构加固改造设计与施工技术交流会论文集
  • 【会议名称】首届全国既有结构加固改造设计与施工技术交流会
  • 【会议时间】2007-07-12
  • 【会议地点】中国北京
  • 【分类号】U446.3
  • 【主办单位】《建筑结构》杂志、《施工技术》杂志、中国建筑设计研究院
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