A structural defect identification approach based on a continuum damage model

Abstract This paper introduces a structural identification technique built on finite element (FE) model updating. The FE model is parameterized by a structural parameter that continuously describes the damage in the structure, and besides, an evolution equation of this damage parameter is presented. The model updating is accomplished by determining the subset of this damage parameters that minimizes a global error derived from the dynamic residue vectors, which is obtained by introducing the experimental modal properties into the original model eigenproblem. A mode-shape projection technique is used in order to achieve compatibility between the dimension of the experimental and analytical models. The adjusted model maintains basic properties of the analytical model as the sparsity and the symmetry, which plays an important role in model updating-based damage identification. The verification and assessment of the current structural defect identification is performed on a analytically derived bidimensional truss structure and on a cantilever bidimensional Euler–Bernouilli beam through a virtual test simulator. This simulator is used to realistically simulate the corrupting effects of noise, filtering, digital sampling and truncation of the modal spectrum. The eigensystem realization algorithm along with the common-based normalized system identification were utilized to obtain the required natural frequencies and mode shapes.

[1]  Poul Henning Kirkegaard,et al.  Damage Detection in an Offshore Structure , 1995 .

[2]  Richard B. Nelson,et al.  Simplified calculation of eigenvector derivatives , 1976 .

[3]  Menahern Baruch,et al.  Optimal Weighted Orttiogonalization of Measured Modes , 1978 .

[4]  Lee D. Peterson,et al.  Method for determining minimum-order mass and stiffness matrices from modal test data , 1995 .

[5]  F. Hemez,et al.  Updating finite element dynamic models using an element-by-element sensitivity methodology , 1993 .

[6]  Wodek Gawronski,et al.  Dynamics and Control of Structures , 1998 .

[7]  M. Frémond,et al.  Damage, gradient of damage and principle of virtual power , 1996 .

[8]  C. M. Mota Soares,et al.  Development of a numerical model for the damage identification on composite plate structures , 2000 .

[9]  James M. Ricles,et al.  Damage detection in elastic structures using vibratory residual forces and weighted sensitivity , 1992 .

[10]  Ning Hu,et al.  Damage assessment of structures using modal test data , 2001 .

[11]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: A survey and some new results , 1990, Autom..

[12]  F. Hemez,et al.  REVIEW AND ASSESSMENT OF MODEL UPDATING FOR NON-LINEAR, TRANSIENT DYNAMICS , 2001 .

[13]  Tae W. Lim,et al.  Structural damage detection of space truss structures using best achievable eigenvectors , 1994 .

[14]  Daniel J. Inman,et al.  TIME DOMAIN ANALYSIS FOR DAMAGE DETECTION IN SMART STRUCTURES , 1997 .

[15]  K. Park,et al.  Second-order structural identification procedure via state-space-based system identification , 1994 .

[16]  John E. Mottershead,et al.  Model Updating In Structural Dynamics: A Survey , 1993 .

[17]  D. J. Ewins,et al.  Modal Testing: Theory and Practice , 1984 .

[18]  Jacek Skrzypek,et al.  Modeling of Material Damage and Failure of Structures: Theory And Applications , 1998 .

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

[20]  Jer-Nan Juang,et al.  An eigensystem realization algorithm for modal parameter identification and model reduction. [control systems design for large space structures] , 1985 .

[21]  Mohamed Kaouk,et al.  Structural damage assessment using a generalized minimum rank perturbation theory , 1993 .

[22]  S. Smith,et al.  Iterative use of direct matrix updates - Connectivity and convergence , 1992 .

[23]  Poyu Tsou,et al.  Structural damage detection and identification using neural networks , 1993 .

[24]  J. Tinsley Oden,et al.  Fifth US National Congress on Computational Mechanics , 1999 .

[25]  W. Gawronski.  Dynamics and control of structures : a modal approach , 1998 .

[26]  S. R. Ibrahim,et al.  Correlation of Analysis and Test in Modeling of Structures: Assessment and Review , 1988 .

[27]  D. Kammer.  Optimum approximation for residual stiffness in linear system identification , 1988 .

[28]  Tshilidzi Marwala,et al.  DAMAGE IDENTIFICATION USING COMMITTEE OF NEURAL NETWORKS , 2000 .

[29]  V. V. Bolotin,et al.  Mechanical Engineering Series , 2001 .

[30]  R. Sampaio,et al.  Analysis of the fracture of brittle elastic materials using a continuum damage model , 1995 .

[31]  Steven J. Kranock,et al.  Real-time structural health monitoring using model-based observers , 1998, Smart Structures.

[32]  A. Kabe.  Stiffness matrix adjustment using mode data , 1985 .

[33]  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 .