基于改进Hilbert-Huang变换的结构损伤识别方法研究

任宜春1,2,翁璞2

振动与冲击 ›› 2015, Vol. 34 ›› Issue (18) : 195-199.

PDF(1140 KB)
PDF(1140 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (18) : 195-199.
论文

基于改进Hilbert-Huang变换的结构损伤识别方法研究

  • 任宜春1,2 ,翁璞2
作者信息 +

Structural Damage Detection Based on Improved Hilbert-Huang Transform

  •  Ren yichun1 2 ,Weng pu2
Author information +
文章历史 +

摘要

针对Hilbert-Huang 变换(HHT)在信号处理中存在的模态混叠的问题,引入总体经验模态分解(EEMD)对HHT方法进行改进,并将改进的HHT方法应用于工程结构损伤识别中。建立一个三自由度剪切型结构模型,结构刚度退化模型采用双线性刚度退化模型,计算结构在地震作用下的响应,对结构加速度响应进行改进的HHT分析,提出了利用损伤前后结构响应一阶固有模态函数IMF特征能量比识别结构损伤位置的方法。结果表明:通过结构响应瞬时频率的变化可以判断结构是否损伤和出现损伤的时间,根据损伤前后各层一阶IMF能量比的变化可以识别损伤的位置。将改进的HHT应用到对实际工程的强震记录分析中,通过提取一阶瞬时频率和一阶IMF特征能量比较好地识别了结构在强震作用下的损伤。
 

Abstract

For the problem of mode mixing during signal analysis by Hilbert-Huang transform(HHT), an improved HHT method base on ensemble empirical mode decomposition(EEMD)is introduced. The method is applied to identification of structural damage. A three degree of freedom bilinear stiffness degradation model of shear type structure was established. Structural responses under earthquake were calculated and analyzed by improved HHT. A method to detect the location of damage based on intrinsic mode function (IMF) energy is proposed. It was shown that whether or not a structure is damaged and when the damage occurs can be decided by instantaneous frequency of structural acceleration; the location of damage is detected by variation of corresponding IMF energy to the first model frequency of structural response before and after damage. Damage of an actual engineering under earthquake was identified by the first model instantaneous frequency and the first model IMF energy.

关键词

Hilbert-Huang变换 / 总体经验模态分解 / 瞬时频率 / 损伤识别

Key words

Hilbert-Huang transform / ensemble empirical mode decomposition / instantaneous frequency / damage detection

引用本文

导出引用
任宜春1,2,翁璞2. 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 yichun1 2,Weng pu2. Structural Damage Detection Based on Improved Hilbert-Huang Transform[J]. Journal of Vibration and Shock, 2015, 34(18): 195-199

参考文献

[1] 王术新, 姜哲. 基于结构振动损伤识别技术的研究现状及进展. 振动与冲击, 2004, 23(4):99-102
Shuxin Wang, Zhe Jiang. Present developing situation and research advances in the field of structural damage detection. Journal of Vibration and Shock, 2004, 23(4):99-102
[2] Huang N H, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary Lime series analysis [J]. Proceedings of the Royal Society of London Series. A Mathematical Physical and Engineering Sciences,1998,454:903-995.
[3] 任宜春,易伟建,谢献忠. 基于Hilbert-Huang变换的钢筋混凝土框架结构识别[J]. 振动与冲击, 2007,26(2):175- 176.
Yichun Ren, Weijian Yi, Xianzhong Xie. Identification of the reinforced concrete frame by Hilbert-Huang transform. Journal of Vibration and Shock, 2007, 26(2): 175- 176.
[4] 丁麒,孟光,李鸿光. 基于Hilbert-Huang变换的梁结构损伤识别方法研究[J]. 振动与冲击. 2009,28,(9):180-183.
Lin Ding, Guang Meng, Hongguang Li. Beam damage identification method based on Hilbert-Huang transformation. Journal of Vibration and Shock, 2009, 28,(9): 180-183.
[5] 杨智春,张慕宇,丁燕,王乐. Hilbert边际谱在框架结构损伤检测中的应用[J].振动与冲击,2010,26(11):250-251.
Zhichun Yang, Muyu Zhang, Yan Ding, Le Wang. Application of Hilbert marginal spectrum in damage detection of a frame structure. Journal of Vibration and Shock, 2010,26(11):250-251.
[6] 吴琛,周瑞忠. 基于Hilbert谱的结构动力响应非线性特征分析[J].振动与冲击,2013, 32(14):70-76.
Chen Wu, Ruizhong Zhou. Nonlinear behavior analysis of structural dynamic response based on Hilbert spectrum. Journal of Vibration and Shock, 2013, 32(14):70-76.
[7] Huang N E, Wu M, Long S R, et al. A confidence limit for the empirical mode decomposition and Hilbert spectral analysis[J]. Proceeding of Royal Society London A, 2003, 459: 2317-2345.
[8] 胡爱军,孙敬,向玲. 经验模态分解中的模态混叠问题[J]. 振动.测试与诊断, 2011,31(4): 429-434.
Aijun Hu, Jing Sun, Lin Xiang. Mode mixing in empirical mode decomposition. Journal of Vibration, Measurement & Diagnosis, 2011,31(4): 429-434.
[9] Zhaohua Wu, Huang N E. Ensemble empirical mode decomposition: a noise assisted data analysis method [J]. Advances in Adaptive Data Analysis, 2009, 1(1): 1-41.
[10] 王社良.抗震结构设计(第4版).武汉:武汉武汉理工大学出版社. 2011,65-72
Sheliang Wang. The Anti-seismic Structure Design. Wuhan: Press of Wuhan University of Technology. 2011,65-72
[11] 梁兴文,黄雅捷,杨其伟.钢筋混凝土框架结构基于位移的抗震设计方法研究[J].土木工程学报,2005,38(9) :53-60.
Xinwen Liang, Yajie Huang, Qiwei Yang, Displacement-based seismic design method of reinforced concrete frames. Journal of Civil Engineering, 2005,38(9) :53-60.
[12] CISN internet data report.Strong Motion Data.http://www. quake.ca.gov/cisn-edc.2007-01-30.

PDF(1140 KB)

Accesses

Citation

Detail

段落导航
相关文章

/