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国际刊号:1004-6801
国内刊号:32-1361/V
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双线性时频分布交叉项提取及损伤识别应用
Cross-Term Extraction from Bilinear Time-Frequency Distributions and Application in Structural Damage Detection
  
DOI:
中文关键词:  损伤识别  时频分析  双线性时频分布  Wigner-Ville分布  交叉项
英文关键词:mage detection  time-frequency analysis  bilinear time-frequency distributions  Wigner-Ville distribution  cross-term
基金项目:国家自然科学基金资助项目(51108009);高等学校博士学科点专项科研基金资助项目(20111103110015,20111103120022)
作者单位
闫维明,马裕超,何浩祥,石鲁宁 (北京工业大学工程抗震与结构诊治北京市重点实验室 北京100124) 
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中文摘要:
      响矩阵R=-K-1tt Kts。定性揭示了R的数学和物理意义,定量论证R的固有特征,并给予图解说明和算例论证,证明由R计算得到的拟静力响应在数学意义层面独立于结构的动力反应,而在物理意义层面二者并非相互独立而存在。
英文摘要:
      Abundant damage information is implicated in the bilinear time-frequency distribution of structural dynamic signals, which could provide effective support for structural damage identification. Signal time-frequency analysis methods are reviewed, and the characteristics of linear time-frequency distribution and bilinear time-frequency distribution, typically represented by the Wigner-Ville distribution, are compared. The existence of the cross-term and its application in structural damage detection are demonstrated. A method of extracting the dominant term is proposed that combines the short-time flourier spectrum and Wigner-Ville distribution. Then a two-dimensional time-frequency transformation matrix is constructed, and the complete cross-term is extracted. The distribution character is in favor of the structural damage identification. Through theoretical analysis, model experiments and numerical simulation of the girder structure, the change rate of the cross-term amplitude is validated to identify the damage location and degree. The effectiveness of the cross-term of the bilinear time-frequency distribution for damage detection is confirmed, and the analytical method of damage identification used in structural engineering is available.
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