Model Correlation and System Health Monitoring using Frequency Domain Measurements

In this paper, algorithmic approaches to enhance model correlation and system health monitoring capability are developed in which direct frequency response function (FRF) data are utilized. The algorithmic approaches utilizes the concept of minimum rank perturbation theory. The use of direct FRFs, as opposed to measured modal parameters, is shown to be one method to address a part of the incomplete measurement problem common to model correlation and system health monitoring; namely the mismatch in the number of measured vibration modes in the measured frequency band in comparison to the number of modes included in the analytical finite element model. Key points made in the development are highlighted using numerical and experimental studies.

[1]  Joshua H. Gordis.  An exact formulation for structural dynamic model error localization , 1993 .

[2]  J. E. Brock.  Optimal matrices describing linear systems. , 1968 .

[3]  David R. Martinez,et al.  System identification methods for dynamic structural models of electronic packages , 1991 .

[4]  P. K. Chakravorty,et al.  Signal Processing in Vibration Analysis Advanced Techniques , 1991 .

[5]  S. Smith,et al.  Expansion and orthogonalization of measured modes for structure identification , 1989 .

[6]  Alex Berman,et al.  Theory of Incomplete Models of Dynamic Structures , 1971 .

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

[8]  Mark Milman,et al.  Evaluation of Mode Shape Expansion Techniques for Prediction , 1994 .

[9]  R. L. Mayes,et al.  Test/analysis correlation and model updating of the STARS I & II missile systems , 1992 .

[10]  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 .

[11]  H. M. Kim,et al.  An Experimental Study of Structural Health Monitoring Using Incomplete Measurements , 1996 .

[12]  A. Berman,et al.  Improvement of a Large Analytical Model Using Test Data , 1983 .

[13]  S. Smith,et al.  SECANT-METHOD ADJUSTMENT FOR STRUCTURAL MODELS , 1989 .

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

[15]  Etienne Balms,et al.  A FINITE ELEMENT UPDATING PROCEDURE USING FREQUENCY RESPONSE FUNCTIONS. APPLICATIONS TO THE MlT/SERC INTERFEROMETER TESTBED , 2001 .

[16]  Paul Sas,et al.  Review of model optimization techniques , 1987 .

[17]  David C. Zimmerman,et al.  The effects of finite element grid density on model correlation and damage detection of a bridge , 1995 .

[18]  David C. Zimmerman,et al.  Eigenstructure assignment approach for structural damage detection , 1992 .

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

[20]  Thomas A. L. Kashangaki.  Ground vibration tests of a high fidelity truss for verification of on orbit damage location techniques , 1992 .

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

[22]  David C. Zimmerman,et al.  Correcting finite element models using a symmetric eigenstructure assignment technique , 1990 .

[23]  Charles R. Farrar,et al.  Dynamic characterization and damage detection in the I-40 bridge over the Rio Grande , 1994 .

[24]  Selcuk Dincal.  Structural damage detection using frequency response functions , 2006 .

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

[26]  David C. Zimmerman,et al.  An experimental study of structural damage detection using incomplete measurements , 1994 .

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

[28]  R. N. Coppolino,et al.  Detectability Of Structural Failures In Offshore Platforms By Ambient Vibration Monitoring , 1980 .

[29]  D. Zimmermann,et al.  Model correction using a symmetric eigenstructure assignment technique , 1989 .

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

[31]  Mehzad Javeed,et al.  Dynamic test/analysis correlation using reduced analytical models , 1992 .

[32]  David C. Zimmerman,et al.  Model Refinement and Damage Location for Intelligent Structures , 1992 .

[33]  William P. Rodden,et al.  A method for deriving structural influence coefficients from ground vibration tests. , 1967 .

[34]  Thomas G. Carne,et al.  Health monitoring of operational structures -- Initial results , 1995 .

[35]  Daniel J. Inman,et al.  Matching Analytical Models with Experimental Modal Data in Mechanical Systems , 1990 .

[36]  John W. Wallace,et al.  Development of an experimental space station model for structural dynamics research , 1990 .

[37]  George H. James,et al.  An experimental study of Frequency Response function (FRF) based damage assessment tools , 1998 .