Damage Identification for Truss Structures Using Eigenvectors

Abstract:

This paper presents a two-stage structural damage identification method using the incomplete measured modal parameters. The first stage locates damages preliminary by using the generalized energy change of each structural element, which is defined as the inner product of the mode shape with the elemental stiffness connectivity vector. After the suspected damaged elements are determined in the first stage, the first order sensitivity of the structural eigenvector is used to identify damages more precise in the second stage. The significant advantage of the proposed method is that it is economical in computation and is simple to implement. A truss structure is analyzed as a numerical example to verify the present method. Results show that the proposed method performs well even if the measurement errors inevitably make the damage assessment more difficult. It has been shown that the presented methodology may be a promising tool to be used by research groups working on experimental damage localization.

• Periodical: Advanced Materials Research (Volumes 753-755)
• Pages: 2351-2355
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.753-755.2351
• Online since: August 2013
• Authors: Wei Min Jin*, Qiu Wei Yang, Xue Shen, Fang Jun Lu
• Keywords: Damage Identification, Eigenvector Sensitivity, Generalized Energy, Truss Structures

References

[1] A. Alvandi, C. Cremona. Assessment of Vibration-Based Damage Identification Techniques. Journal of Sound and Vibration, Vol. 292 (2006), pp.179-202.

DOI: 10.1016/j.jsv.2005.07.036

[2] S. Kanev, F. Weber, and M. Verhaegen. Experimental Validation of a Finite-Element Model Updating Procedure. Journal of Sound and Vibration, Vol. 300 (2007), pp.394-413.

DOI: 10.1016/j.jsv.2006.05.043

[3] Q. W. Yang, J. K. Liu. Structural Damage Identification Based on Residual Force Vector. Journal of Sound and Vibration, Vol. 305 (2007), pp.298-307.

DOI: 10.1016/j.jsv.2007.03.033

[4] J. D. Collins, G. C. Hart, T. K. Hasselman, and B. Kennedy. Statistical Identification of Structures. AIAA Journal, Vol. 12 (1974), pp.185-190.

DOI: 10.2514/3.49190

[5] Q. W. Yang. A Mixed Sensitivity Method for Structural Damage Detection. Communications in Numerical Methods in Engineering, Vol. 25 (2009), pp.381-389.

DOI: 10.1002/cnm.1125

[6] D. Wu, S. S. Law. Model Error Correction from Truncated Modal Flexibility Sensitivity and Generic Parameters. Ⅰ: Simulation. Mechanical Systems and Signal Processing, Vol. 18 (2004), pp.1381-1399.

DOI: 10.1016/s0888-3270(03)00094-3

[7] D. Wu, S. S. Law. Eigen-Parameter Decomposition of Element Matrices for Structural Damage Detection. Engineering Structures, Vol. 29 (2007), pp.519-528.

DOI: 10.1016/j.engstruct.2006.05.019

[8] Q. W. Yang, J. K. Liu. Damage Identification by the Eigenparameter Decomposition of Structural Flexibility Change. International Journal for Numerical Methods in Engineering, Vol. 78 (2009), pp.444-459.

DOI: 10.1002/nme.2494

[9] J. Li, B. S. Wu, Q. C. Zeng, and C. W. Lim. A Generalized Flexibility Matrix based Approach for Structural Damage Detection. Journal of Sound and Vibration, Vol. 329 (2010), pp.4583-4587.

DOI: 10.1016/j.jsv.2010.05.024

[10] S. H. Chen. Matrix Perturbation Theory in Structure Dynamics. International Academic Publishers (1993).

[11] Q. W. Yang. A New Damage Identification Method Based on Structural Flexibility Disassembly. Journal of Vibration and Control, Vol. 17 (2011), pp.1000-1008.

DOI: 10.1177/1077546309360052