曲率模态小波分析在桥梁损伤检测中的应用

英文篇名：Application of Wavelet Analysis of Curvature Modal to Damage Detection of Bridges
中文刊名：噪声与振动控制
英文刊名：Noise and Vibration Control
作者：丁科
英文作者：DING Ke ; College of Civil Engineering and Mechanics ; Central South University of Forestry and Technology
中文关键词：振动与波 ; 曲率模态 ; 损伤分析 ; 连续小波变换 ; 桥梁
英文关键词：vibration and wave ; curvature of mode shape ; damage analysis ; continuous wavelet transform ; bridge
出版日期：2013-10-18
机构：中南林业科技大学土木工程与力学学院;
年：2013
期：05
出版单位：噪声与振动控制

摘要

运用连续小波变换对不同缺陷简支梁的曲率模态进行分析。结果表明,根据曲率模态的小波变换系数可以确定结构的损伤位置。若损伤位置处于振型的平衡位置附近,则可以将多阶曲率模态的小波变换结果进行叠加,根据叠加以后的小波变换系数依然可以判断结构损伤的位置。进一步研究表明,结构损伤程度与小波变换系数峰值大小之间没有必然的联系,其峰值仅仅指示结构损伤的位置,需要其他指标来确定结构损伤程度与损伤指标之间的定量关系。
Continuous wavelet transform(CWT) was applied to the curvature modal analysis of simply supported beams with various defects. The results show that it is possible to determine the damage location in structures according to the wavelet transform coefficients of the curvature modals. If the damage location is near the equilibrium position of vibration, the damage location can be identified by superposition of the wavelet transform coefficients of the curvature modals. The further results show that there is essentially no relationship between the damage extent of the structure and the wavelet transform coefficient. The peaks of wavelet transform coefficients only indicate the damage location of the structures. Some other indicators are necessary for determination of the quantitative relationship between the damage indicator and the damage extent.

引文

[1]管德清,黄燕.基于应变模态小波变换的框架结构损伤识别研究[J].计算力学学报,2010,27(2):325-329.
    [2]丁科,董腾.基于模态曲率差的桥梁结构损伤研究[J].中南林业科技大学学报(自然科学版),2011,31(4):141-145.
    [3]刘涛,李爱群,丁幼亮.小波分析在结构损伤识别中的应用[J].地震工程与工程振动,2008,28(2):29-35.
    [4]孙增寿,韩建刚,任伟新.基于曲率模态和小波变换的结构损伤识别方法[J].地震工程与工程振动,2005,25(4):44-49.
    [5]杨海鸣,杨帆.小波在结构损伤鉴定中的应用[J].武汉理工大学学报(交通科学与工程版),2011,35(5):836-839.
    [6]鞠彦忠,阎贵平,陈建斌等.用小波神经网络检测结构损伤[J].工程力学,2003,20(6):176-181.
    [7]B.K.Raghu Prasad,N.Lakshmanan et al.Enhancement of damage indicators in wavelet and curvature analysis[J].S dhan 2,006,Vol.31,Part 4,pp.463-486.
    [8]Ding Ke.Damage analysis of the bridge structure based on the modal parameters[J].Advanced Materials Research,2011,Vols.255-260,pp.1034-1038.
    [9]Magdalena Rucka.Damage detection in beams using wavelet transform on higher vibration modes[J].Journal of Theoretical and Applied Mechanics,2011,Vol.49(2),pp.399-417.