Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Structural Damage Detection Using Slopes of Longitudinal Vibration Shapes

Journal Article · · Journal of Vibration and Acoustics
DOI:https://doi.org/10.1115/1.4031996· OSTI ID:1259536
 [1];  [2];  [2];  [1]
  1. Hohai Univ., Nanjing (China)
  2. Univ. of Maryland, Baltimore, MD (United States)

While structural damage detection based on flexural vibration shapes, such as mode shapes and steady-state response shapes under harmonic excitation, has been well developed, little attention is paid to that based on longitudinal vibration shapes that also contain damage information. This study originally formulates a slope vibration shape for damage detection in bars using longitudinal vibration shapes. To enhance noise robustness of the method, a slope vibration shape is transformed to a multiscale slope vibration shape in a multiscale domain using wavelet transform, which has explicit physical implication, high damage sensitivity, and noise robustness. These advantages are demonstrated in numerical cases of damaged bars, and results show that multiscale slope vibration shapes can be used for identifying and locating damage in a noisy environment. A three-dimensional (3D) scanning laser vibrometer is used to measure the longitudinal steady-state response shape of an aluminum bar with damage due to reduced cross-sectional dimensions under harmonic excitation, and results show that the method can successfully identify and locate the damage. Slopes of longitudinal vibration shapes are shown to be suitable for damage detection in bars and have potential for applications in noisy environments.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1259536
Report Number(s):
SAND--2015-10238J; 614031
Journal Information:
Journal of Vibration and Acoustics, Journal Name: Journal of Vibration and Acoustics Journal Issue: 3 Vol. 138; ISSN 1048-9002
Country of Publication:
United States
Language:
English

References (46)

Experimental and numerical studies on model updating method of damage severity identification utilizing four cost functions journal August 2011
Structural Damage Localization from Modal Strain Energy Change journal December 1998
Damage Detection in Bridges Using Modal Curvatures: Application to a real Damage Scenario journal September 1999
Examining the function of wavelet packet transform (WPT) and continues wavelet transform (CWT) in recognizing the crack specification journal March 2011
Damage detection from changes in curvature mode shapes journal March 1991
Crack identification in beams using wavelet analysis journal June 2003
Damage detection with spatial wavelets journal August 1999
On an iterative general-order perturbation method for multiple structural damage detection journal May 2004
Damage detection of structures by wavelet analysis journal February 2004
Waveform fractal dimension for mode shape-based damage identification of beam-type structures journal November 2008
Optimal spatial sampling interval for damage detection by curvature or strain energy mode shapes journal August 2005
Application of continuous wavelet transform in vibration based damage detection method for beams and plates journal November 2006
Damage assessment of structures with uncertainty by using mode-shape curvatures and fuzzy logic journal October 2009
Damage detection for beam-like structures using the normalized curvature of a uniform load surface journal March 2013
Damage visualization based on local dynamic perturbation: Theory and application to characterization of multi-damage in a plane structure journal July 2013
A multi-scale pseudo-force model for characterization of damage in beam components with unknown material and structural parameters journal October 2013
Damage identification for beams in noisy conditions based on Teager energy operator-wavelet transform modal curvature journal March 2014
Identification of embedded horizontal cracks in beams using measured mode shapes journal November 2014
Novel Laplacian scheme and multiresolution modal curvatures for structural damage identification journal May 2009
A multi-scale pseudo-force model in wavelet domain for identification of damage in structural components journal April 2012
Identification of multiple damage in beams based on robust curvature mode shapes journal June 2014
Application of Wavelet Theory for Crack Identification in Structures journal February 1998
Multiscale shear-strain gradient for detecting delamination in composite laminates journal September 2013
Fractal mechanism for characterizing singularity of mode shape for damage detection journal November 2013
Spatial Fourier Analysis of a Free-Free Beam for Structural Damage Detection journal June 2014
Integrated wavelet transform and its application to vibration mode shapes for the damage detection of beam-type structures journal August 2008
On the wavelet–fractal nonlinear damage diagnosis of mechanical systems journal July 2009
Crack detection in beams in noisy conditions using scale fractal dimension analysis of mode shapes journal April 2014
An introduction to structural health monitoring
  • Farrar, Charles R.; Worden, Keith
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, Issue 1851 https://doi.org/10.1098/rsta.2006.1928
journal December 2006
Crack Detection from the Slope of the Mode Shape Using Complex Continuous Wavelet Transform journal September 2011
A Frequency and Curvature Based Experimental Method for Locating Damage in Structures journal January 2000
Experimental and Numerical Investigation of Structural Damage Detection Using Changes in Natural Frequencies journal January 2007
Detection of Damage in Space Frame Structures With L-Shaped Beams and Bolted Joints Using Changes in Natural Frequencies journal June 2013
Detecting Loosening of Bolted Connections in a Pipeline Using Changes in Natural Frequencies journal April 2014
Damage Localization in Composite Structures Using Nonlinear Vibration Response Properties journal June 2015
Damage Detection of Steel Beam Using Frequency Response Function Measurement Data and Fractal Dimension journal June 2015
Fractal Dimension Analysis of Higher-Order Mode Shapes for Damage Identification of Beam Structures journal January 2012
Dynamics-based Damage Detection of Composite Laminated Beams using Contact and Noncontact Measurement Systems journal May 2007
Curvature Mode Shape-based Damage Assessment of Carbon/Epoxy Composite Beams journal October 2006
Experimental and numerical studies on damage localization of simply supported beams based on curvature difference probability method of waveform fractal dimension journal January 2012
Structural Damage Detection Using Local Damage Factor journal September 2006
Damage detection in plates using two-dimensional directional Gaussian wavelets and laser scanned operating deflection shapes journal July 2013
Reconstructing interfacial force distribution for identification of multi-debonding in steel-reinforced concrete structures using noncontact laser vibrometry journal September 2013
Laser ultrasonic imaging and damage detection for a rotating structure journal September 2013
Suppressing Influence of Measurement Noise on Vibration-Based Damage Detection Involving Higher-Order Derivatives journal January 2013
Modeling Multi-Layer Matrix Cracking in Thin Walled Composite Rotor Blades journal October 2005

Cited By (1)