基于时变模态振型小波变换的结构损伤识别方法

摘要
图/表
参考文献(20)
相关文章 (15)

全文: PDF (2108 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要

结构损伤是一种非线性发展过程，会导致结构模态参数的变化，因此可以通过时变模态振型特征识别损伤状况。对结构的响应信号进行小波变换，提取当小波系数模出现局部极大值时的尺度参数，利用这些尺度参数识别结构的瞬时频率。选取特定尺度参数，对结构各个节点的信号进行小波变换，将信号解耦到只含某一阶模态，通过小波系数的比值进行归一化处理，从而得到结构的瞬时振型。对结构瞬时振型差做小尺度的小波变换，通过小波系数的实部出现极大值的时间及其出现的位置识别出结构的损伤时间与损伤位置，通过极大值的大小判断损伤程度。应用一个悬臂梁和斜拉桥数值算例，证明该方法不仅能准确识别结构发生损伤的时间，而且能高精度、高效率地识别结构损伤位置和损伤程度。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	王盟
	翁顺
	余兴胜
	闫俊锋
	殷鹏程

关键词 ：模态振型, 损伤状况, 小波变换, 尺度参数

Abstract：

Structural damage leads to the change of structural modal parameters, so the damage status can be identified by time-varying modal mode shape.First, by wavelet transformation of response signals, wavelet scale parameters were extracted according to the local maximum value of wavelet coefficients modulus.The instantaneous frequency of a time-varying structure was estimated from the wavelet scale parameter.Afterwards, a specific scale was selected and the signal of each node of the structure was decoupled into a single mode by wavelet transformation with the specific scale parameter, and the instantaneous mode shape of the structure was obtained by normalizing the ratio of the wavelet coefficients.Finally, the wavelet transformation was applied to the variance of mode shape on a small scale.The existence time and position of damage were identified by the local maximum value of the real part of the wavelet coefficients.The damage extent was identified by the maximum value of the real part of wavelet coefficients.The proposed method was applied to a cantilever beam and a cable-stayed bridge.It was approved that the wavelet transformation on the time-varying modal mode shape method can not only identify the existence time of damage, but also identify the damage position and damage extent of structures with high accuracy and efficiency.

Key words： modal mode shape damage condition wavelet transformation scale parameter

收稿日期: 2020-04-14 出版日期: 2021-08-28

引用本文:

王盟，翁顺，余兴胜，闫俊锋，殷鹏程. 基于时变模态振型小波变换的结构损伤识别方法[J]. 振动与冲击, 2021, 40(16): 10-19.
WANG Meng，WENG Shun，YU Xingsheng，YAN Junfeng，YIN Pengcheng. Structural damage identification based on time-varying modal mode shape of wavelet transformation. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(16): 10-19.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I16/10

［1］翁顺.基于小波变换的结构振动模态参数识别［D］.武汉:华中科技大学, 2006.

［2］朱宏平, 翁顺.运用小波分析方法进行结构模态参数识别［J］.振动与冲击, 2007,26(4): 1-4.
ZHU Hongping, WENG Shun.Identification of structural modal parameters with wavelet transformation ［J］.Journal of Vibration and Shock, 2007,26(4): 1-4.

［3］谭冬梅, 姚三, 瞿伟廉.振动模态的参数识别综述［J］.华中科技大学学报(城市科学版), 2002,19(3): 73-78.
TAN Dongmei, YAO San, QU Weilian.State of modal parameter identification［J］.Journal of Huazhong University of Science and Technology (Urban Science Edition), 2002,19(3): 73-78.

［4］杨哂哂, 李明, 顾学康.四种时频分析方法的频率分辨率研究［J］.现代电子技术, 2008,31(11): 37-39.
YANG Shenshen, LI Ming, GU Xuekang.Experimental research on frequency resolution of time-frequency distribution using four methods［J］.Modern Electronics Technique, 2008,31(11): 37-39.

［5］李恒, 张氢, 秦仙蓉,等.基于短时傅里叶变换和卷积神经网络的轴承故障诊断方法［J］.振动与冲击, 2018,37(19): 124-131.
LI Heng, ZHANG Qing, QIN Xianrong, et al.Fault diagnosis method for rolling bearings based on short-time Fourier transform and convolution neural network［J］.Journal of Vibration and Shock, 2018,37(19): 124-131.

［6］刘小峰, 柏林, 秦树人.基于瞬时转速的变窗STFT变换［J］.振动与冲击, 2010,29(4): 27-29.
LIU Xiaofeng, BO Lin, QIN Shuren.Rotating speed-based variable window STFT［J］.Journal of Vibration and Shock, 2010,29(4): 27-29.

［7］任宜春, 翁璞.基于改进 Hilbert-Huang 变换的结构损伤识别方法研究［J］.振动与冲击, 2015,34(18): 195-199.
REN Yichun, WENG Pu.Structural damage detection based on improved Hilbert-Huang transform［J］.Journal of Vibration and Shock, 2015,34(18): 195-199.

［8］胡浩然, 杨娜.基于HHT的明清官式古建筑的模态参数识别方法［J］.振动与冲击, 2018,37(20): 75-80.
HU Haoran, YANG Na.A modal parameter identification method for a timber structure based on HHT［J］.Journal of Vibration and Shock, 2018,37(20): 75-80.

［9］龚海健,黄伟国,赵凯,等.基于Wigner-Ville分布与小波尺度谱融合的时频特征提取方法［J］.振动与冲击, 2011,30(12): 35-38.
GONG Haijian, HUANG Weiguo, ZHAO Kai, et al.Time-frequency feature extraction based on fusion of Wigner-Ville distribution and wavelet scalogram［J］.Journal of Vibration and Shock, 2011,30(12): 35-38.

［10］郭奇, 刘卜瑜, 史立波,等.基于二次EEMD的Wigner-Ville分布旋转机械故障信号分析及试验研究［J］.振动与冲击, 2012,31(13): 129-133.
GUO Qi, LIU Buyu, SHI Libo, et al.Experimental study and fault signals analysis of rotating machinery based on dual EEMD and Wigner-Ville distribution［J］.Journal of Vibration and Shock, 2012,31(13): 129-133.

［11］王超.基于小波变换的时变结构参数识别研究［D］.长沙:中南大学, 2009.

［12］LARDIES J.Identification of modal parameters using the wavelet transform［J］.International Journal of Mechanical Sciences, 2002,44(11): 2263-2283.

［13］滕军, 朱焰煌, 周峰, 等.基于复Morlet小波变换的大跨空间结构模态参数识别研究［J］.振动与冲击, 2009,28(8): 25-29.
TENG Jun, ZHU Yanhuang, ZHOU Feng, et al.Modal parameters identification of large-span spatial structures based on complex Morlet wavelet transform［J］.Journal of Vibration and Shock, 2009,28(8): 25-29.

［14］王超, 任伟新.基于动态规划提取信号小波脊和瞬时频率［J］.中南大学学报(自然科学版), 2008,39(6): 1331-1336.
WANG Chao, REN Weixin.Wavelet ridge and instantaneous frequency extraction based on dynamic optimization［J］.Journal of Central South University(Science and Technology), 2008,39(6): 1331-1336.

［15］闫桂荣, 段忠东, 欧进萍.基于结构振动信息的损伤识别研究综述［J］.地震工程与工程振动, 2007,27(3): 95-103.
YAN Guirong, DUAN Zhongdong, OU Jinping.Review on structural damage detection based on vibration data［J］.Journal of Earthquake Engineering and Engineering Vibration, 2007,27(3): 95-103.

［16］严平, 李胡生, 葛继平, 等.基于模态应变能和小波变换的结构损伤识别研究［J］.振动与冲击, 2012,31(1): 121-126.
YAN Ping, LI Husheng, GE Jiping, et al.Structural damage identification based on modal strain energy and wavelet transformation［J］.Journal of Vibration and Shock, 2012,31(1): 121-126.

［17］张明照, 牟建华, 刘扬, 等.应用复Morlet小波变换分析条纹图相位［J］.光学精密工程, 2012,20(3): 643-650.
ZHANG Mingzhao, MOU Jianhua, LIU Yang, et al.Phase extraction for fringe patterns based on complex Morlet wavelet transform［J］.Optics and Precision Engineering, 2012,20(3): 643-650.

［18］罗光坤, 张令弥.基于Morlet小波变换的模态参数识别研究［J］.振动与冲击, 2007,26(7): 135-138.
LUO Guangkun, ZHANG Lingmi.Study on identification of modal parameters based on Morlet wavelet transformation［J］.Journal of Vibration and Shock, 2007,26(7): 135-138.

［19］向阳, 蔡悦斌, 杨毓英,等.小波分析在信号奇异性探测及瞬态信号检测中的应用［J］.振动与冲击, 1997,16(4): 23-30.
XIANG Yang, CAI Yuebin, YANG Yuying, et al.Applications of wavelet transform in singularity detection and transient analysis［J］.Journal of Vibration and Shock, 1997,16(4): 23-30.

［20］何萍, 李东升, 王德禹.基于振型差小波变换的结构损伤检测方法［J］.机械设计与研究, 2006,22(6): 95-98.
HE Ping, LI Dongsheng, WANG Deyu.The structure damage identification based on wavelet transform of vibration mode difference［J］.Machine Design and Research, 2006,22(6): 95-98.