Structural Damage Detection Based on Improved Hilbert-Huang Transform
Ren yichun1 2 ，Weng pu2
1 , Hunan Province University Key Laboratory of Bridge Engineering （Changsha University of Science & Technology）
2 , Changsha University of Science & Technology，Changsha，Hunan 410004，China,
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.
[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．
