DAMAGE DIAGNOSIS USING EXPERIMENTAL RITZ VECTORS

This paper describes an experimental study on the use of Ritz vectors for damage detection of a grid-type bridge model. A new procedure to extract Ritz vectors from experimental modal analysis is proposed and demonstrated using the test structure. The extracted Ritz vectors are then used for the damage detection of the test structure using a Bayesian probabilistic approach. Using appropriate load patterns, Ritz vectors can be made more sensitive to damage than modal vectors. The results indicate that the use of load-dependent Ritz vectors produce better damage diagnoses than the modal vectors. The Bayesian probabilistic approach is shown to give better diagnostic results than commonly used deterministic methods.

[1]  Gene H. Golub,et al.  Matrix computations , 1983 .

[2]  T. T. Cao,et al.  Application of Load Dependent Ritz Vectors in Structural Damage Detection , 1997 .

[3]  Ahmet E. Aktan,et al.  FLEXIBILITY BY MULTIREFERENCE IMPACT TESTING FOR BRIDGE DIAGNOSTICS , 1992 .

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

[5]  N Stubbs,et al.  NONDESTRUCTIVE DAMAGE EVALUATION IN COMPLEX STRUCTURES FROM A MINIMUM OF MODAL PARAMETERS , 1995 .

[6]  Hoon Sohn,et al.  EXTRACTION OF RITZ VECTORS FROM VIBRATION TEST DATA , 1999 .

[7]  D. C. Zimmerman,et al.  Model correlation using multiple static load and vibration tests , 1995 .

[8]  G. Golub,et al.  A Lanczos‐based method for structural dynamic reanalysis problems , 1994 .

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

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

[11]  David C. Zimmerman,et al.  PROCEDURE TO EXTRACT RITZ VECTORS FROM DYNAMIC TESTING DATA , 1999 .

[12]  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 .

[13]  Ray W. Clough,et al.  Dynamic analysis of structures using lanczos co‐ordinates , 1984 .

[14]  Hoon Sohn,et al.  A Bayesian Probabilistic Approach for Structure Damage Detection , 1997 .

[15]  Hoon Sohn,et al.  Application of load-dependent Ritz vectors to Bayesian probabilistic damage detection , 2000 .

[16]  George C. Yao,et al.  Damage diagnosis of steel frames using vibrational signature analysis , 1992 .

[17]  L. Peterson,et al.  Measurement of static flexibility matrices for experiments with incomplete reciprocity , 1995 .