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Title: Non-model-based damage identification of plates using principal, mean and Gaussian curvature mode shapes

Mode shapes (MSs) have been extensively used to identify structural damage. This paper presents a new non-model-based method that uses principal, mean and Gaussian curvature MSs (CMSs) to identify damage in plates; the method is applicable and robust to MSs associated with low and high elastic modes on dense and coarse measurement grids. A multi-scale discrete differential-geometry scheme is proposed to calculate principal, mean and Gaussian CMSs associated with a MS of a plate, which can alleviate adverse effects of measurement noise on calculating the CMSs. Principal, mean and Gaussian CMSs of a damaged plate and those of an undamaged one are used to yield four curvature damage indices (CDIs), including Maximum-CDIs, Minimum-CDIs, Mean-CDIs and Gaussian-CDIs. Damage can be identified near regions with consistently higher values of the CDIs. It is shown that a MS of an undamaged plate can be well approximated using a polynomial with a properly determined order that fits a MS of a damaged one, provided that the undamaged plate has a smooth geometry and is made of material that has no stiffness and mass discontinuities. New fitting and convergence indices are proposed to quantify the level of approximation of a MS from a polynomial fitmore » to that of a damaged plate and to determine the proper order of the polynomial fit, respectively. A MS of an aluminum plate with damage in the form of a machined thickness reduction area was measured to experimentally investigate the effectiveness of the proposed CDIs in damage identification; the damage on the plate was successfully identified.« less
Authors:
 [1] ;  [1] ;  [1]
  1. Univ. of Maryland Baltimore County (UMBC), Baltimore, MD (United States). Dept. of Mechanical Engineering
Publication Date:
Report Number(s):
SAND-2016-2557J
Journal ID: ISSN 0022-460X; 627692
Grant/Contract Number:
AC04-94AL85000; CMMI-1229532; CMMI-1335024
Type:
Accepted Manuscript
Journal Name:
Journal of Sound and Vibration
Additional Journal Information:
Journal Volume: 400; Journal Issue: C; Journal ID: ISSN 0022-460X
Publisher:
Elsevier
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE; National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Damage identification; Plates; Curvature mode shapes; Multi-scale discrete differential-geometry scheme; Curvature damage indices; Mode shape approximation
OSTI Identifier:
1399876

Xu, Yongfeng F., Zhu, Weidong D., and Smith, Scott A.. Non-model-based damage identification of plates using principal, mean and Gaussian curvature mode shapes. United States: N. p., Web. doi:10.1016/j.jsv.2017.03.030.
Xu, Yongfeng F., Zhu, Weidong D., & Smith, Scott A.. Non-model-based damage identification of plates using principal, mean and Gaussian curvature mode shapes. United States. doi:10.1016/j.jsv.2017.03.030.
Xu, Yongfeng F., Zhu, Weidong D., and Smith, Scott A.. 2017. "Non-model-based damage identification of plates using principal, mean and Gaussian curvature mode shapes". United States. doi:10.1016/j.jsv.2017.03.030. https://www.osti.gov/servlets/purl/1399876.
@article{osti_1399876,
title = {Non-model-based damage identification of plates using principal, mean and Gaussian curvature mode shapes},
author = {Xu, Yongfeng F. and Zhu, Weidong D. and Smith, Scott A.},
abstractNote = {Mode shapes (MSs) have been extensively used to identify structural damage. This paper presents a new non-model-based method that uses principal, mean and Gaussian curvature MSs (CMSs) to identify damage in plates; the method is applicable and robust to MSs associated with low and high elastic modes on dense and coarse measurement grids. A multi-scale discrete differential-geometry scheme is proposed to calculate principal, mean and Gaussian CMSs associated with a MS of a plate, which can alleviate adverse effects of measurement noise on calculating the CMSs. Principal, mean and Gaussian CMSs of a damaged plate and those of an undamaged one are used to yield four curvature damage indices (CDIs), including Maximum-CDIs, Minimum-CDIs, Mean-CDIs and Gaussian-CDIs. Damage can be identified near regions with consistently higher values of the CDIs. It is shown that a MS of an undamaged plate can be well approximated using a polynomial with a properly determined order that fits a MS of a damaged one, provided that the undamaged plate has a smooth geometry and is made of material that has no stiffness and mass discontinuities. New fitting and convergence indices are proposed to quantify the level of approximation of a MS from a polynomial fit to that of a damaged plate and to determine the proper order of the polynomial fit, respectively. A MS of an aluminum plate with damage in the form of a machined thickness reduction area was measured to experimentally investigate the effectiveness of the proposed CDIs in damage identification; the damage on the plate was successfully identified.},
doi = {10.1016/j.jsv.2017.03.030},
journal = {Journal of Sound and Vibration},
number = C,
volume = 400,
place = {United States},
year = {2017},
month = {7}
}