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基于小波能量分布向量的结构损伤识别
引用本文:孙增寿,林友勤,任伟新.基于小波能量分布向量的结构损伤识别[J].地震工程与工程振动,2007,27(5):103-109.
作者姓名:孙增寿  林友勤  任伟新
作者单位:1. 郑州大学,土木工程学院,河南,郑州,450002;福州大学,土木工程学院,福建,福州,350002
2. 福州大学,土木工程学院,福建,福州,350002
3. 福州大学,土木工程学院,福建,福州,350002;中南大学,土木建筑工程学院,湖南,长沙,410075
基金项目:国家自然科学基金项目(50378021)
摘    要:利用小波变换时-频局部化性能,提出了基于小波能量分布向量的结构损伤识别方法。首先建立无损结构响应信号小波能量分布的总体向量;其次,将实测动力响应信号分解为小波包组分,计算其小波能量分布向量(样本向量);通过样本向量和总体向量之间的马氏距离识别损伤。该方法仅利用单测点结构响应数据进行损伤识别,实验方便,计算简单,并通过钢梁试验对损伤识别方法进行了试验验证,识别结果表明小波能量分布向量是一个比较好的结构损伤指标。

关 键 词:损伤识别  结构振动  小波能量分布向量  多元分析
文章编号:1000-1301(2007)05-0103-07
修稿时间:2007-03-11

Structural damage identification based on wavelet energy distribution vectors
SUN Zengshou,LIN Youqin,REN Weixin.Structural damage identification based on wavelet energy distribution vectors[J].Earthquake Engineering and Engineering Vibration,2007,27(5):103-109.
Authors:SUN Zengshou  LIN Youqin  REN Weixin
Institution:1. Dpartment of Civil Engineering, Zhengzhou University, Zhengzhou 450002 ,China; 2. Department of Civil Engineering, Fuzhou University, Fuzhou 350002 China; 3. Department of Civil Engineering, Central South University, Changsha 410075 ,China
Abstract:In terms of a unique feature of wavelet transform in analyzing local signals with an arbitrary resolution in the timefrequency domain,a structural damage identification method based on the wavelet energy distribution vector is presented in this paper.Firstly,the collectivity vectors that express the wavelet energy distribution of response signal of intact structure are established.Secondly,the measured dynamic response signals are decomposed into the wavelet packet components and their wavelet energy distribution vectors are calculated,which are called the sample vectors.The damage is identified by calculating the Mahalanobis distances between sample vectors and collectivity vectors.This method identifies the damage only applying to data of single measuring point.The proposed damage identification method and index have been verified with a tested model beam.It is illuminated that the wavelet energy distribution vector is a sensitive and good damage index.
Keywords:damage identification  structural vibration  wavelet energy distribution vector  multivariate analysis
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