桥梁结构损伤伴随着服役期的增加而逐渐加深，寻找合适的损伤识别方法则是桥梁工作者必须面对的问题。本文通过对测点处动态响应信号进行离散小波变换，并计算各测点处的小波总能量，以结构未损伤状态为基准，提出了一种基于小波总能量相对变化的损伤识别方法，并以一两端固支梁为例，进行了损伤识别应用及有限元模型验证，结果表明：提出的损伤识别指标能够准确判断损伤的存在和定位损伤，且对损伤程度具有敏感性，对噪音污染、小波种类和分解尺度数有鲁棒性，并能够根据加速度、速度和位移信号的分析处理进行损伤判定，可用于桥梁结构的损伤识别。
Abstract
The damage of bridge will intensify with the increase of service life, so it confronts the bridge engineer with searching for the appropriate damage detection method. After applying discrete wavelet transform to dynamic response signal at the measuring point, wavelet total energy can be calculated. Setting the intact structure as the reference state, the detection method based on the relative variation of wavelet total energy is proposed. A case study of a beam (fixed at two ends) is conducted to apply the damage detection method. A finite element model of the beam is established to verify the detection result. We can conclude that: The proposed damage index can accurately determine the existence and location of the damage and it is sensitive to damage; What’s more, it also show robustness to noise, wavelet type and decomposition scale; The damage detection method can tackle with acceleration, velocity and displacement signal to assess the damage. So the proposed detection method can be applied for the damage detection of bridge structure.
关键词
桥梁工程 /
离散小波变换 /
小波总能量 /
损伤指标 /
识别
{{custom_keyword}} /
Key words
bridge structures /
discrete wavelet transform /
wavelet total energy /
damage index /
detection
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Bandara, R P, Chan T H, Thambiratnam D P. Structural damage detection method using frequency response functions. Structural Health Monitoring, 2014, 13(4): 418-429.
[2] 林贤坤，覃柏英，梁兴华. 基于刚度矩阵的桥梁损伤识别研究[J]. 广西工学院学报，2010，21（3）：13-18.
LIN Xian-kun, QIN Bo-ying, LIANG Xing-hua. Researches on bridge damage identification based on stiffness matrices [J]. Journal of Guangxi University of technology, 2010, 21(3): 13-18.
[3] Nie, Z., Hao H, Ma H. Using vibration phase space topology changes for structural damage detection [J]. Structural health monitoring, 2012, 11(5): 538-557.
[4] Chandrashekhar M, Ganguli R. Structural damage detection using modal curvature and fuzzy logic [J]. Structural health monitoring, 2009, 8(4): 267-282.
[5] 郭 建，顾正维，孙炳南，等. 基于小波分析的桥梁监测检测方法[J]. 工程力学，2006，23（12）：129-135.
GUO Jian, GU Zheng-wei, SUN Bing-nan, et al. Method of bridge health monitoring based on wavelet analysis [J]. Engineering mechanics, 2006, 23(12): 129-135.
[6] 刘 浩，韩 晶. MATLAB R2012a完全自学一本通[M]. 北京：电子工业出版社，2013.
LIU Hao, HAN Jing. Completely self-taught book of Matlab R2012a[M]. Beijing: publishing house of electronics industry, 2013.
[7] SU Yong-qing, LIU Hao, YUE Ji-guang, et al. Characterization of ionospheric amplitude scintillations using wavelet entropy detrended GNSS data [J]. Advances in Space Research, 2014, 54(11):2172–2183.
[8] 孙增寿，韩建刚，任伟新. 基于小波分析的结构损伤检测研究进展[J]. 振动、测试与诊断，2005，28(2):93-99.
SUN Zeng-shou, HAN Jian-gang, REN Wei-xin. State-of-the-art research and development of wavelet analysis based structural damage detection [J]. Journal of Vibration, Measurement and Diagnosis, 2005, 28(2):93-99.
[9] 何正友，蔡玉梅，钱清泉. 小波熵理论及其在电力系统故障检测中的应用研究[J]. 中国电机工程学报，2005，25(5)：38-43.
HE Zheng-you, CAI Yu-mei, QIAN Qing-quan. A study of wavelet entropy theory and its application in electric power system fault detection [J]. Proceedings of the CSEE, 2005, 25(5): 38-43.
[10] 郭建. 基于小波分析的结构损伤识别方法研究[D]. 杭州：浙江大学，2004.
GUO Jian. Research on structural damage detection method based on wavelet analysis [D]. Hangzhou: Zhejiang University, 2004.
[11] Solís M, Algaba M, Galvín P. Continuous wavelet analysis of mode shapes differences for damage detection [J]. Mechanical systems and signal processing, 2013, 40(2): 645-666.
[12] Addison P S. The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance. Journal of Physics A General Physics, 2004, 37(5):1947-1948(2).
[13] Gun J Y, Soon G L, Joan C, et al. Decentralized damage identification using wavelet signal analysis embedded on wireless smart sensors [J]. Engineering Structures, 2011, 33(7):2162-2172.
[14] Rosso O A, Martin M T, Figliola A, etc. EEG analysis using wavelet-based information tools [J]. Journal of Neuroscience Methods, 2006, 153(2):163-82.
[15] 孙增寿，任伟新. 基于小波熵指标的结构损伤检测[J]. 振动、测试与诊断，2008，28（3）：233-237.
SUN Zeng-shou, REN Wei-xin. Structural damage detection based on wavelet entropy index [J]. Journal of Vibration, Measurement and Diagnosis, 2008, 28(3): 233-237.
[16] 刘习军，相林杰，张素侠. 基于小波分析的简支梁损伤识别[J]. 振动、测试与诊断，2015，35（5）：866-872.
LIU Xi-jun, XIANG Lin-jie, ZHANG Su-xia. Damage identification of simply supported beam based on wavelet analysis [J]. Journal of Vibration, Measurement and Diagnosis, 2015, 35(5):866-872.
[17] 张敬一，陈龙珠. 基于小波变换的反射波法基桩检测[J]. 振动与冲击，2014，33（6）：179-183.
ZHANG Jing-yi, CHEN Long-zhu. Sonic echo test for pile titegrity testing based on wavelet transform [J]. Journal of vibration and shock, 2014, 33(6):179-183.
[18] 姜邵飞，胡春明. 基于模态指标与数据融合的钢管混凝土拱桥损伤识别[J]. 振动与冲击，2009，28（12）：91-95.
JIANG Shao-fei, HU Chun-ming. Structural damage identification based on modal indices and data fusion for an arch bridge of concrete-filled steel tubes [J]. Journal of vibration and shock, 2009, 28(12): 91-95.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(2822 KB)
