基于Wigner-Ville分布交叉项的独塔自锚式悬索桥损伤识别试验研究

陈彦江,王 凯,马裕超,郝朝伟

振动与冲击 ›› 2016, Vol. 35 ›› Issue (6) : 161-168.

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (6) : 161-168.
论文

基于Wigner-Ville分布交叉项的独塔自锚式悬索桥损伤识别试验研究

  • 陈彦江,王  凯,马裕超,郝朝伟
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Experimental study of single tower self-anchored suspension bridge damage identification based on cross terms of Wigner-Ville distribution

  • CHEN Yan-jiang,WANG Kai,MA Yu-chao,HAO Chao-wei
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摘要

为研究以Wigner-Ville分布的交叉项作为指标进行损伤识别效果,探究完整的提取交叉项方法,通过对二重余弦信号的Wigner-Ville分布推导,获得主项与交叉项的位置关系及交叉项震荡特性;据此设计相应的提取方法,将Wigner-Ville分布中各频率段正负能量分别沿时间轴积分,将正负能量之和绝对值作商,通过设定阈值进行筛选获得交叉项能量分布;以工程实例为研究对象,通过对比无、有损状态下对应测点交叉项能量差的突异点识别损伤位置与程度。试验结果表明,交叉项可作为损伤识别指标,且效果显著。

Abstract

In order to study the effect of damage identification by using the cross terms of Wigner-Ville distribution, a complete extraction of cross terms was explored. Through the derivation of Wigner-Ville distribution of a double cosine signal, the position relationship between main terms and cross terms, the concussion characteristics of them were obtained, then the extraction method was proposed as follow: firstly, the positive and the negative energy of each frequency band in Wigner-Ville distribution were integrated respectively along the time axis; secondly, using the absolute value of negative energy to divide the positive one, through filtering by setting a threshold to get the energy distribution of cross terms; finally, with a project as the research object, by comparing the cross terms energy difference of observation point under undamaged and damaged status to identify the location and extent of damage. The result showed that the cross terms can be used as a damage identification index and the effect is remarkable.
   

关键词

Wigner-Ville分布 / 交叉项 / 时频分析 / 损伤指标 / 悬索桥

Key words

  / Wigner-Ville distribution;the cross-term;time-frequency analysis;damage index;suspension bridge

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陈彦江,王 凯,马裕超,郝朝伟. 基于Wigner-Ville分布交叉项的独塔自锚式悬索桥损伤识别试验研究[J]. 振动与冲击, 2016, 35(6): 161-168
CHEN Yan-jiang,WANG Kai,MA Yu-chao,HAO Chao-wei . Experimental study of single tower self-anchored suspension bridge damage identification based on cross terms of Wigner-Ville distribution[J]. Journal of Vibration and Shock, 2016, 35(6): 161-168

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