Two-phase damage detection of beam structures under moving load using multi-scale wavelet signal processing and wavelet finite element model

Abstract This paper proposes a damage detection method with two phases, namely, localization and quantification, for beam structures subjected to moving load and successfully validates it via a laboratory experiment. Firstly, the discrete wavelet transform (DWT) is applied to decompose the displacement response change induced by a moving vehicle and locate potential structural damages. Then adaptive-scale wavelet finite element model (WFEM) updating is employed to estimate the damage severity in the identified damage regions in a progressive fashion. The elemental scales of WFEM are adaptively changed according to not only the moving vehicle position but also the progressively identified damage regions. Such a method can effectively minimize the number of modeling degree-of-freedoms (DOFs) and updating parameters during optimization. The feasibility and effectiveness of the proposed method is examined through a laboratory experiment with different damage scenarios. The results indicate the proposed method can achieve good consistency between structural modeling, damage scenarios, and load conditions, as well as an optimal tradeoff between damage detection accuracy and efficiency.

[1]  Songye Zhu,et al.  Moving load-induced response of damaged beam and its application in damage localization , 2016 .

[2]  Zhengjia He,et al.  The construction of finite element multiwavelets for adaptive structural analysis , 2011 .

[3]  Hong Hao,et al.  Damage detection in bridge structures under moving loads with phase trajectory change of multi-type vibration measurements , 2017 .

[4]  Maria Q. Feng,et al.  Output‐only damage detection using vehicle‐induced displacement response and mode shape curvature index , 2016 .

[5]  C. S. Cai,et al.  Damage Detection Based on Transmissibility of a Vehicle and Bridge Coupled System , 2015 .

[6]  Eugene J. O'Brien,et al.  Application of empirical mode decomposition to drive-by bridge damage detection , 2017 .

[7]  Wei-Xin Ren,et al.  A spline wavelet finite‐element method in structural mechanics , 2006 .

[8]  Firooz Bakhtiari-Nejad,et al.  Comparison studies between two wavelet based crack detection methods of a beam subjected to a moving load , 2012 .

[9]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[10]  Yeong-Bin Yang,et al.  Vehicle–bridge interaction dynamics and potential applications , 2005 .

[11]  Jiawei Xiang,et al.  Detect damages in conical shells using curvature mode shape and wavelet finite element method , 2013 .

[12]  C. Manohar,et al.  Nonlinear reduced models for beam damage detection using data on moving oscillator–beam interactions , 2004 .

[13]  Wei-Xin Ren,et al.  Trigonometric wavelet-based method for elastic thin plate analysis , 2013 .

[14]  Jie Li,et al.  A super-element approach for structural identification in time domain , 2006 .

[15]  S. S. Law,et al.  Wavelet-based crack identification of bridge beam from operational deflection time history , 2006 .

[16]  Chul-Woo Kim,et al.  Pseudo-static approach for damage identification of bridges based on coupling vibration with a moving vehicle , 2008 .

[17]  Z. Xiang,et al.  Damage detection by mode shape squares extracted from a passing vehicle , 2012 .

[18]  Songye Zhu,et al.  Progressive damage detection based on multi-scale wavelet finite element model: numerical study , 2013 .

[19]  Z. R. Lu,et al.  Identification of both structural damages in bridge deck and vehicular parameters using measured dynamic responses , 2011 .

[20]  Songye Zhu,et al.  A wavelet finite element-based adaptive-scale damage detection strategy , 2014 .

[21]  Yeong-Bin Yang,et al.  An effective means for damage detection of bridges using the contact-point response of a moving test vehicle , 2018 .

[22]  Ian F. C. Smith,et al.  Damage detection using data-driven methods applied to moving-load responses , 2013 .

[23]  N. Roveri,et al.  Damage detection in structures under traveling loads by Hilbert–Huang transform , 2012 .

[24]  Michael Hartnett,et al.  Effects of speed, load and damping on the dynamic response of railway bridges and vehicles , 2008 .

[25]  W. H. Chen,et al.  A spline wavelets element method for frame structures vibration , 1995 .

[26]  X. Zhu,et al.  Vehicle Condition Surveillance on Continuous Bridges Based on Response Sensitivity , 2006 .

[27]  Arturo González,et al.  A wavelet-based damage detection algorithm based on bridge acceleration response to a vehicle , 2012 .

[28]  Andrew J. Kurdila,et al.  A class of finite element methods based on orthonormal, compactly supported wavelets , 1995 .

[29]  F. T. K. Au,et al.  Damage Detection of a Continuous Bridge from Response of a Moving Vehicle , 2014 .

[30]  Songye Zhu,et al.  Baseline-free damage localization method for statically determinate beam structures using dual-type response induced by quasi-static moving load , 2017 .

[31]  K. Amaratunga,et al.  Multiresolution modeling with operator-customized wavelets derived from finite elements , 2006 .

[32]  Robert X. Gao,et al.  Multivariable wavelet finite element-based vibration model for quantitative crack identification by using particle swarm optimization , 2016 .

[33]  Mitsuo Kawatani,et al.  Feasibility investigation for a bridge damage identification method through moving vehicle laboratory experiment , 2014 .

[34]  Wei-Xin Ren,et al.  Finite element analysis of beam structures based on trigonometric wavelet , 2012 .

[35]  Wei-Xin Ren,et al.  Damage detection of beam structures using quasi-static moving load induced displacement response , 2017 .

[36]  Khoa Viet Nguyen,et al.  Multi-cracks detection of a beam-like structure based on the on-vehicle vibration signal and wavelet analysis , 2010 .

[37]  Arturo González,et al.  Empirical Mode Decomposition of the Acceleration Response of a Prismatic Beam Subject to a Moving Load to Identify Multiple Damage Locations , 2011 .

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

[39]  Jun Li,et al.  Damage identification of a target substructure with moving load excitation , 2012 .

[40]  Francis T.K. Au,et al.  Damage Detection of Bridges Using Response of Vehicle Considering Road Surface Roughness , 2015 .

[41]  Michael Link,et al.  Damage identification by multi-model updating in the modal and in the time domain , 2009 .