Efficient numerical model for the damage detection of large scale structure

A structural modeling methodology is proposed, based on the concept of Damage-Detection-Orientated-Modeling, in which a super-element representing a segment of a large-scale structure, e.g. a bridge deck, is developed. Each individual structural component is represented by a sub-element in the model. The large number of degrees-of-freedom in the analytical model is reduced, while the modal sensitivity relationship of the structural model to small physical changes is retained at the sub-element level. These properties are significant to structural damage assessment. The concept of a generic sub-element is introduced in the parameter selection strategy for model updating, and the initial finite super-element model of the structure is updated using the eigensensitivity method. Numerical studies are presented to illustrate the super-element model and model updating method. Modal frequencies and the mode shapes of the updated analytical models agree fairly well with the simulated measurements with or without noise and using incomplete measurements with a maximum error of 12%.

[1]  Takuji Hamamoto,et al.  LOCAL DAMAGE DETECTION OF FLEXIBLE OFFSHORE PLATFORMS USING AMBIENT VIBRATION MEASUREMENT , 1994 .

[2]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[3]  Robert L. Kidder,et al.  Reduction of structural frequency equations. , 1973 .

[4]  Hamid Ahmadian,et al.  Generic element matrices suitable for finite element model updating , 1995 .

[5]  Hamid Ahmadian,et al.  Parameter Selection Strategies in Finite Element Model Updating , 1997 .

[6]  Roberto A. Osegueda,et al.  Nondestructive construction error detection in large space structures , 1990 .

[7]  D. Kammer Sensor Placement for On-Orbit Modal Identification and Correlation of Large Space Structures , 1990, 1990 American Control Conference.

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

[9]  Stefan Keye Prediction of Modal and Frequency Response Data from a Validated Finite Element Model , 1999 .

[10]  Alex Berman,et al.  Mass Matrix Correction Using an Incomplete Set of Measured Modes , 1979 .

[11]  H. G. Natke Updating computational models in the frequency domain based on measured data: a survey , 1988 .

[12]  Lu Xian Simplified dynamic condensation in multi-substructure systems☆ , 1988 .

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

[14]  Menahem Baruch Methods of Reference Basis for Identification of Linear Dynamic Structures , 1984 .

[15]  R. Ross,et al.  Synthesis of Stiffness and Mass Matrices from Experimental Vibration Modes , 1971 .

[16]  J. Peter,et al.  Direct update of dynamic mathematical models from modal test data , 1987 .

[17]  Theodore Bartkowicz,et al.  A Two-Step Structural Damage Detection Approach With Limited Instrumentation , 1994 .

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

[19]  Mark Milman,et al.  Mode shape expansion techniques for prediction : Experimental evaluation , 1996 .

[20]  J. D. Collins,et al.  Statistical Identification of Structures , 1973 .

[21]  H. Du,et al.  Improved Inverse Eigensensitivity Method for Structural Analytical Model Updating , 1995 .