Damage detection using frequency shift path

Abstract This paper introduces a novel concept called FREquency Shift (FRESH) path to describe the dynamic behavior of structures with auxiliary mass. FRESH path combines the effects of frequency shifting and amplitude changing into one space curve, providing a tool for analyzing structure health status and properties. A damage index called FRESH curvature is then proposed to detect local stiffness reduction. FRESH curvature can be easily adapted for a particular problem since the sensitivity of the index can be adjusted by changing auxiliary mass or excitation power. An algorithm is proposed to adjust automatically the contribution from frequency and amplitude in the method. Because the extraction of FRESH path requires highly accurate frequency and amplitude estimators; therefore, a procedure based on discrete time Fourier transform is introduced to extract accurate frequency and amplitude with the time complexity of O ( n log n ) , which is verified by simulation signals. Moreover, numerical examples with different damage sizes, severities and damping are presented to demonstrate the validity of the proposed damage index. In addition, applications of FRESH path on two steel beams with different damages are presented and the results show that the proposed method is valid and computational efficient.

[1]  Seng Tjhen Lie,et al.  Damage detection method based on operating deflection shape curvature extracted from dynamic response of a passing vehicle , 2013 .

[2]  S. K. Maiti,et al.  On prediction of crack in different orientations in pipe using frequency based approach , 2008 .

[3]  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.

[4]  M. Chandrashekhar,et al.  Damage assessment of structures with uncertainty by using mode-shape curvatures and fuzzy logic , 2009 .

[5]  Arun Kumar Pandey,et al.  Damage detection from changes in curvature mode shapes , 1991 .

[6]  Shuncong Zhong,et al.  Analytical predictions of natural frequencies of cracked simply supported beams with a stationary roving mass , 2008 .

[7]  Gilbert-Rainer Gillich,et al.  RELIABLE METHOD TO DETECT AND ASSESS DAMAGES IN BEAMS BASED ON FREQUENCY CHANGES , 2012 .

[8]  R. Marks.  Handbook of Fourier Analysis & Its Applications , 2009 .

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

[10]  Jinhee Lee.  IDENTIFICATION OF MULTIPLE CRACKS IN A BEAM USING NATURAL FREQUENCIES , 2009 .

[11]  Colin P. Ratcliffe,et al.  Local damage detection using a global fitting method on mode shape data , 2001 .

[12]  Ricardo Perera,et al.  Power mode shapes for early damage detection in linear structures , 2009 .

[13]  Curtis F. Gerald.  Applied numerical analysis , 1970 .

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

[15]  S. S. Law,et al.  Damage localization in plate structures from uniform load surface curvature , 2004 .

[16]  Norris Stubbs,et al.  Damage identification in beam-type structures: frequency-based method vs mode-shape-based method , 2003 .

[17]  Nuno M. M. Maia,et al.  DAMAGE DETECTION USING THE FREQUENCY-RESPONSE-FUNCTION CURVATURE METHOD , 1999 .

[18]  Zhichun Yang,et al.  Structural Damage Detection by Changes in Natural Frequencies , 2010 .

[19]  Fabrizio Vestroni,et al.  Dynamic methods for damage detection in structures , 2008 .

[20]  K. H. Low,et al.  Natural frequencies of a beam–mass system in transverse vibration: Rayleigh estimation versus eigenanalysis solutions , 2003 .

[21]  Massimo Ruzzene,et al.  NATURAL FREQUENCIES AND DAMPINGS IDENTIFICATION USING WAVELET TRANSFORM: APPLICATION TO REAL DATA , 1997 .

[22]  Maria Pina Limongelli,et al.  Frequency response function interpolation for damage detection under changing environment , 2010 .

[23]  Shuncong Zhong,et al.  Response-only method for damage detection of beam-like structures using high accuracy frequencies with auxiliary mass spatial probing , 2008 .

[24]  Lin Li,et al.  Damage detection method for shear buildings using the changes in the first mode shape slopes , 2011 .

[25]  Pedro Galvín,et al.  Continuous wavelet analysis of mode shapes differences for damage detection , 2013 .

[26]  Jean-Philippe Noël,et al.  Subspace-based identification of a nonlinear spacecraft in the time and frequency domains , 2014 .

[27]  Pizhong Qiao,et al.  Vibration-based Damage Identification Methods: A Review and Comparative Study , 2011 .

[28]  Norris Stubbs,et al.  Crack detection in beam-type structures using frequency data , 2003 .

[29]  Colin P. Ratcliffe,et al.  Local Damage Detection with the Global Fitting Method Using Operating Deflection Shape Data , 2010 .