Substructure Identification and Health Monitoring Using Noisy Response Measurements Only

A probabilistic substructure identification and health monitoring methodology for linear systems is presented using measured response time histories only. A very large number of uncertain parameters have to be identified if one considers the updating of the entire structure. For identifiability, one then would require a very large number of sensors. Furthermore, even when such a large number of sensors are available, process- ing of vast amount of the corresponding data raises com- putational difficulties. In this article a substructuring ap- proach is proposed, which allows for the identification and monitoring of some critical substructures only. The proposed method does not require any interface measure- ments and/or excitation measurements. No information regarding the stochastic model of the input is required. Specifically, the method does not require the response to be stationary and does not assume any knowledge of the parametric form of the spectral density of the input. There- fore, the method has very wide applicability. The proposed approach allows one to obtain not only the most probable values of the updated model parameters but also their as- sociated uncertainties using only one set of response data. The probability of damage can be computed directly using data from the undamaged and possibly damaged struc- ture. A hundred-story building model is used to illustrate the proposed method.

[1]  James L. Beck,et al.  Two-Stage Structural Health Monitoring Approach for Phase I Benchmark Studies , 2004 .

[2]  R. B. Testa,et al.  Modal Analysis for Damage Detection in Structures , 1991 .

[3]  Lambros S. Katafygiotis,et al.  Bayesian modal updating using complete input and incomplete response noisy measurements , 2002 .

[4]  J. Beck,et al.  Spectral density estimation of stochastic vector processes , 2002 .

[5]  James L. Beck,et al.  Determining models of structures from earthquake records , 1978 .

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

[7]  Lambros S. Katafygiotis,et al.  Bayesian time–domain approach for modal updating using ambient data , 2001 .

[8]  Jer-Nan Juang,et al.  An Eigensystem Realization Algorithm in Frequency Domain for Modal Parameter Identification , 1986 .

[9]  S. R. Ibrahim.  Double least squares approach for use in structural modal identification , 1986 .

[10]  J. Beck,et al.  Updating Models and Their Uncertainties. I: Bayesian Statistical Framework , 1998 .

[11]  M. Hoshiya,et al.  Structural Identification by Extended Kalman Filter , 1984 .

[12]  Wenping Wang,et al.  System identification of linear MDOF structures under ambient excitation , 1999 .

[13]  J. Ko,et al.  Localization of damaged structural connections based on experimental modal and sensitivity analysis , 1998 .

[14]  James L. Beck,et al.  New Bayesian Model Updating Algorithm Applied to a Structural Health Monitoring Benchmark , 2004 .

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

[16]  Masoud Sanayei,et al.  PARAMETER ESTIMATION INCORPORATING MODAL DATA AND BOUNDARY CONDITIONS , 1999 .

[17]  C. Koh,et al.  Substructural Identification Method without Interface Measurement , 2003 .

[18]  Yong-Lin Pi,et al.  Modal Identification of Vibrating Structures Using ARMA Model , 1989 .

[19]  W. Gersch,et al.  Structural System Parameter Estimation by Two-Stage Least Squares Method , 1976 .

[20]  James L. Beck,et al.  Monitoring Structural Health Using a Probabilistic Measure , 2001 .

[21]  James L. Beck,et al.  Structural Health Monitoring via Measured Ritz Vectors Utilizing Artificial Neural Networks , 2006, Comput. Aided Civ. Infrastructure Eng..

[22]  Joel P. Conte,et al.  Modal Identification Method for Structures Subjected toUnmeasured Random Excitations , 1995 .

[23]  G. C. Tiao,et al.  Bayesian inference in statistical analysis , 1973 .

[24]  James L. Beck,et al.  Updating Properties of Nonlinear Dynamical Systems with Uncertain Input , 2003 .

[25]  J. Beck,et al.  Model Selection using Response Measurements: Bayesian Probabilistic Approach , 2004 .

[26]  A. K. Pandey,et al.  Experimental verification of flexibility difference method for locating damage in structures , 1995 .

[27]  James L. Beck,et al.  A Bayesian probabilistic approach to structural health monitoring , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[28]  Lambros S. Katafygiotis,et al.  Bayesian spectral density approach for modal updating using ambient data , 2001 .