Structural damage identification in plates using spectral strain energy analysis

Abstract In this paper, a vibration response parameter known as spectral strain energy (SSE) is proposed for structural damage identification in plate-like structures in the context of a non-model-based damage identification approach. The SSE presented in this study is derived from moment–curvature response in which all the modal parameters (namely natural frequency, mode shapes and modal damping) are taken into account. First, displacement response power spectral density obtained from a plate element is used to determine moment power spectral density (MSD) and curvature power spectral density (CSD). A statistical parameter known as mean-square value (MSV) of the response spectral density is then obtained and used to derive SSE based on the assumption that the excitation force is a stationary, ergodic random noise. Consequently, various damage indices are computed and employed for damage detection and localization in simply supported plate and beam elements. The level of sensitivity to damage and performance of the SSE method is illustrated using extensive numerical simulation studies and by comparing the results with those obtained from the modal strain energy (MSE) method. Moreover, the performance and robustness of the SSE method is verified using the experimental modal data obtained from a full-scale bridge structure.

[1]  T. Marwala.  Fault Identification Using Pseudomodal Energies and Modal Properties , 2001 .

[2]  Robert D. Adams,et al.  The location of defects in structures from measurements of natural frequencies , 1979 .

[3]  Charles R. Farrar,et al.  Comparison of damage identification algorithms on experimental modal data from a bridge , 1995 .

[4]  L. H. Yam,et al.  Identification of damage locations for plate-like structures using damage sensitive indices: strain modal approach , 2002 .

[5]  Charles R. Farrar,et al.  FIELD VERIFICATION OF A NONDESTRUCTIVE DAMAGE LOCALIZATION AND SEVERITY ESTIMATION ALGORITHM , 2002 .

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

[7]  Gregory P. Carman,et al.  Power spectral density analysis for damage identification and location , 2004 .

[8]  D. Newland.  An introduction to random vibrations and spectral analysis , 1975 .

[9]  Ahmet E. Aktan,et al.  Application of Modal Flexibility and Its Derivatives in Structural Identification , 1998 .

[10]  Charles R. Farrar,et al.  Application of the strain energy damage detection method to plate-like structures , 1999 .

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

[12]  Usik Lee,et al.  A structural damage identification method for plate structures , 2002 .

[13]  Colin P. Ratcliffe,et al.  Local damage detection using the two-dimensional gapped smoothing method , 2005 .

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

[15]  Charles R. Farrar,et al.  Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .

[16]  Qiuhai Lu,et al.  MULTIPLE DAMAGE LOCATION WITH FLEXIBILITY CURVATURE AND RELATIVE FREQUENCY CHANGE FOR BEAM STRUCTURES , 2002 .

[17]  Charles R. Farrar,et al.  Comparative study of damage identification algorithms applied to a bridge: I. Experiment , 1998 .

[18]  R. Szilard,et al.  Theory and Analysis of Plates, Classical and Numberical Methods , 1974 .

[19]  A. S. J. Swamidas,et al.  Monitoring crack growth through change of modal parameters , 1995 .

[20]  Waion Wong,et al.  Sensitivity studies of parameters for damage detection of plate-like structures using static and dynamic approaches , 2002 .

[21]  N. Bićanić,et al.  Assessment of damage in continuum structures based on incomplete modal information , 2000 .

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

[23]  H. Y. Hwang,et al.  Damage detection in structures using a few frequency response measurements , 2004 .