Structural damage identification based on change in geometric modal strain energy-eigenvalue ratio

This study presents a new damage identification method to locate and quantify damage using measured mode shapes and natural frequencies. A new vibration parameter, ratio of geometric modal strain energy to eigenvalue (GMSEE), has been developed and its change due to stiffness reduction has been formulated using a sensitivity matrix. This sensitivity matrix is estimated with measured modal parameters and basic information of the structure. For damage identification, firstly, the locations of damage and the correlative damage extents are identified by maximizing the correlation level between an analytical GMSEE change vector and a measured one. Herein, the genetic algorithm, which is a powerful evolutionary optimization algorithm, is utilized to solve this optimization problem. Secondly, the size of damage can be estimated using the proposed GMSEE technique and compared with a conventional technique using frequency change. A numerical 2D Truss bridge is used to demonstrate the performance of the proposed method in identifying single and multiple damage cases. Also, practicality of the method is tested with a laboratory eight degree-of-freedom system and a real bridge. Results illustrate the high capability of the method to identify structural damage with less modeling efforts.

[1]  Guido De Roeck,et al.  STRUCTURAL DAMAGE IDENTIFICATION USING MODAL DATA. I: SIMULATION VERIFICATION , 2002 .

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

[3]  Norris Stubbs,et al.  Nondestructive Crack Detection Algorithm for Full-Scale Bridges , 2003 .

[4]  Charles R. Farrar,et al.  Vibration-Based Damage Identification in Structures Exhibiting Axial and Torsional Response , 2001 .

[5]  Tommy H.T. Chan,et al.  Improved correlation-based modal strain energy method for global damage detection of truss bridge structures , 2010 .

[6]  S. S. Law,et al.  DAMAGE LOCALIZATION BY DIRECTLY USING INCOMPLETE MODE SHAPES. TECHNICAL NOTE , 2000 .

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

[8]  E. J. Williams,et al.  STRUCTURAL DAMAGE DETECTION BY A SENSITIVITY AND STATISTICAL-BASED METHOD , 1998 .

[9]  Tommy H.T. Chan,et al.  Review of vibration-based damage detection and condition assessment of bridge structures using structural health monitoring , 2009 .

[10]  David P. Thambiratnam,et al.  Correlation-Based Damage Detection for Complicated Truss Bridges Using Multi-Layer Genetic Algorithm , 2012 .

[11]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[12]  Alireza Rahai,et al.  Damage assessment of structure using incomplete measured mode shapes , 2007 .

[13]  Liu Meie,et al.  液晶エラストマー片持梁の光‐熱‐機械的駆動の曲げとスナップ動力学 , 2014 .

[14]  Hong Hao,et al.  Vibration-based Damage Detection of Structures by Genetic Algorithm , 2002 .

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

[16]  A. K. Pandey,et al.  Damage Detection in Structures Using Changes in Flexibility , 1994 .

[17]  Billie F. Spencer,et al.  A damage localization method based on the ‘jerk energy’ , 2014 .

[18]  Roberto A. Osegueda.  'Global Non-destructive Damage Evaluation in Solids,' , 2013 .

[19]  David P. Thambiratnam,et al.  An improved modal strain energy method for damage assessment , 2010 .

[20]  Jamshid Ghaboussi,et al.  Genetic algorithm in structural damage detection , 2001 .

[21]  Hoi Wai Shih,et al.  Damage assessment in structures using vibration characteristics , 2009 .

[22]  S. Law,et al.  Structural Damage Detection from Modal Strain Energy Change , 2000 .

[23]  Jeong‐Tae Kim,et al.  Improved damage identification method based on modal information , 2002 .

[24]  H. F. Zhou,et al.  Modal Flexibility Analysis of Cable‐Stayed Ting Kau Bridge for Damage Identification , 2008, Comput. Aided Civ. Infrastructure Eng..

[25]  G. De Roeck,et al.  Damage detection in bridges using modal curvatures: application to a real damage scenario , 1999 .

[26]  Norris Stubbs,et al.  Model-Uncertainty Impact and Damage-Detection Accuracy in Plate Girder , 1995 .