Detecting the sensitivity of structural damage based on the Hilbert‐Huang transform approach

Purpose – This study aims to investigate the relationship between structural damage and sensitivity indices using the Hilbert‐Huang transform (HHT) method.Design/methodology/approach – The relationship between structural damage and the sensitivity indices is obtained by using the HHT method. Three sensitivity indices are proposed: the ratio of rotation (RR), the ratio of shifting value (SV) and the ratio of bandwidth (RB). The nonlinear single degree of freedom and multiple degree of freedom models with various predominant frequencies are constructed using the SAP2000 program. Adjusted PGA El Centro and Chi‐Chi (TCU068) earthquake data are used as the excitations. Next, the sensitivity indices obtained using the HHT and the fast Fourier transform (FFT) methods are evaluated separately based on the acceleration responses of the roof structures to earthquakes.Findings – Simulation results indicate that, when RR < 1, the structural response is in the elastic region, and neither the RB nor SV in the HHT and F...

[1]  J. Tukey,et al.  An algorithm for the machine calculation of complex Fourier series , 1965 .

[2]  Y. Wen Method for Random Vibration of Hysteretic Systems , 1976 .

[3]  Charles R. Farrar,et al.  Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .

[4]  O. S. Salawu Detection of structural damage through changes in frequency: a review , 1997 .

[5]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6]  C. E. Ventura,et al.  Blind test on damage detection of a steel frame structure , 1998 .

[7]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .

[8]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[9]  Ying Lei,et al.  Identification of civil structures with nonproportional damping , 2000, Smart Structures.

[10]  J. N. Yang,et al.  System identification of linear structures using Hilbert transform and empirical mode decomposition , 2000 .

[11]  Mohammad Noori,et al.  Wavelet-Based Approach for Structural Damage Detection , 2000 .

[12]  Hoon Sohn,et al.  A review of structural health monitoring literature 1996-2001 , 2002 .

[13]  Shuo Ma,et al.  Hilbert-Huang transform analysis of dynamic and earthquake motion recordings , 2003 .

[14]  N. Huang,et al.  System identification of linear structures based on Hilbert–Huang spectral analysis. Part 1: normal modes , 2003 .

[15]  Hani G. Melhem,et al.  Fourier and wavelet analyses for fatigue assessment of concrete beams , 2003 .

[16]  Yu Lei,et al.  Hilbert-Huang Based Approach for Structural Damage Detection , 2004 .

[17]  Li Zhou,et al.  Damage identification of a benchmark building for structural health monitoring , 2005 .

[18]  Krzysztof Wilde,et al.  Application of continuous wavelet transform in vibration based damage detection method for beams and plates , 2006 .

[19]  D. M. McFarland,et al.  Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics , 2006 .

[20]  Darryll J. Pines,et al.  Structural health monitoring using empirical mode decomposition and the Hilbert phase , 2006 .

[21]  F. Lanata,et al.  Damage detection and localization for continuous static monitoring of structures using a proper orthogonal decomposition of signals , 2006 .

[22]  Chih-Chen Chang,et al.  Identification of nonlinear elastic structures using empirical mode decomposition and nonlinear normal modes , 2007 .

[23]  Anthony N. Palazotto,et al.  HHT-based nonlinear signal processing method for parametric and non-parametric identification of dynamical systems , 2008 .

[24]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..