Structural Damage Diagnosis Using an Improved Eigenvalue Perturbation Method

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Abstract:

This paper presents an improved method to identify structural damages only by changes of natural frequencies. The underlying principle of the proposed technique is to measure the natural frequencies of the damaged system, and then use this set of data as well as the original test data of undamaged system to identify structural damages with the help of eigenvalue perturbation method. In this contribution, a simple accelerated formula is developed to improve the accuracy of the eigenvalue perturbation method. With the introduction of the accelerated formula, the proposed method is able to achieve more accurate results than that obtained by the original eigenvalue perturbation method without any high-order analysis or multi-iterations. The effectiveness of the proposed method is illustrated using simulated data on a published numerical example. From the numerical results, it can be conclued that the proposed approach is simple to implement and can identify structural damages very accurately only by the first few natural frequencies.

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Periodical:

Advanced Materials Research (Volumes 753-755)

Pages:

2347-2350

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Online since:

August 2013

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[1] Z. Y. Shi, S. S. Law, and L. M. Zhang. Structural damage detection from modal strain energy change. Journal of Engineering Mechanics, Vol. 126(2000), pp.1216-1223.

DOI: 10.1061/(asce)0733-9399(2000)126:12(1216)

Google Scholar

[2] 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

Google Scholar

[3] A. Messina, J. E. Williams, and T. Contursi. Structural damage detection by a sensitivity and statistical-based method. Journal of Sound and Vibration, Vol. 216(1996), pp.791-808.

DOI: 10.1006/jsvi.1998.1728

Google Scholar

[4] H. F. Lam, J. M. Ko, and C. W. Wong. Localization of damaged structural connections based on experimental modal and sensitivity analysis. Journal of Sound and Vibration, Vol. 210(1998), pp.91-115.

DOI: 10.1006/jsvi.1997.1302

Google Scholar

[5] Q. W. Yang, J. K. Liu. A coupled method for structural damage identification. Journal of Sound and Vibration, Vol. 296(2006), pp.401-405.

DOI: 10.1016/j.jsv.2006.02.014

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

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

Google Scholar

[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

Google Scholar