Three-step damage identification method based on dynamic characteristics

Abstract

A three-step damage identification method based on dynamic characteristics is proposed to improve the structure reliability and security and avoid serious accident. In the proposed method, the frequency and difference of modal curvature (DMC) are used as damage indexes. Firstly, the detection of the occurrence of damage is addressed by the frequency or the square of frequency change. Then the damage location inside the structure is measured by the DMC. Finally, with the stiffness reduction rate as a damage factor, the amount of damage is estimated by the optimization algorithm. The three-step damage identification method has been validated by conducting the simulation on a cantilever beam and the shaking table test on a submerged bridge. The results show that the method proposed in this paper can effectively solve the damage identification problem in theory and engineering practice.

Keywords

damage identification / dynamic characteristics / frequency / difference of modal curvature / optimization algorithm / shaking table test

References

[1] Rytter A. Vibration Based Inspection of Civil Engineering Structures[D]. 1993, Denmark: Department of Building Technology and Structural Engineering, Aalborg University.

[2] Cawley P, Adams R D. The location of defects in structures from measurements of natural frequencies[J]. Journal of Strain Analysis, 1979, 14(2): 49-57.

[3] Abdo M A, Hori M. A numerical study of structural damage detection using changes in the rotation of mode shapes[J]. Journal of Sound and Vibration, 2002, 251(2): 227-239.

[4] Esfandiari A, Bakhtiari-Nejad F, Rahai A, et al. Structural model updating using frequency response function and quasi-linear sensitivity equation[J]. Journal of Sound and Vibration, 2009, 326(3–5): 557-573.

[5] Lu Z R, Liu J K, Huang M, et al. Identification of local damages in coupled beam systems from measured dynamic response[J]. Journal of Sound and Vibration, 2009, 326(1–2): 177-189.

[6] Chen H, He W, Wang B, et al. Study on structure damage detection based on perturbations of frequency and mode shapes[J]. Engineering Mechanics, 2010, 27(12): 244-249.

[7] Hu H, Wu Chengbo. Development of scanning damage index for the damage detection of plate structures using modal strain energy method[J]. Mechanical Systems and Signal Processing, 2009, 23(2): 274-287.

[8] Kumar M, Shenoi R A, Cox S J. Experimental validation of modal strain energies based damage identification method for a composite sandwich beam[J]. Composites Science and Technology, 2009, 69(10): 1635-1643.

[9] Guo H Y, Li Z L. Structural damage identification based on Bayesian theory and improved immune genetic algorithm[J]. Expert Systems with Applications, 2012, 39(7): 6426-6434.

[10] Huang Q, Xu Y L, Li J C, et al. Structural damage detection of controlled building structures using frequency response functions[J]. Journal of Sound and Vibration, 2012, 331(15): 3476-3492.

[11] Zou Wanjie, Qu Weilian. Structural damage identification based on frequency response function and genetic algorithm[J]. Journal of Vibration and Shock, 27(12): 28–30, 176–177 (in Chinese).

[12] Shiradhonkar S R, Shrikhande M. Seismic damage detection in a building frame via finite element model updating[J]. Computers and Structures, 2011, 89(23/24): 2425-2438.

[13] Teughels A, De Roeck G. Structural damage identification of the highway bridge Z24 by FE model updating[J]. Journal of Sound and Vibration, 2004, 278(3): 589-610.

[14] Li X Y, Law S S. Adaptive Tikhonov regularization for damage detection based on nonlinear model updating[J]. Mechanical Systems and Signal Processing, 2010, 24(6): 1646-1664.

[15] Jiang S, Fu D, Hu C, et al. Damage identification of concrete-filled steel tubular arch bridge using data fusion based on information allocation theory[J]. Procedia Engineering, 2011, 15, 1705-1710.

[16] Liu C, Sun G, Han Liang. Shaking table test of pile-water-pier superstructure[J]. Transactions of Tianjin University, 2012, 18(3): 188-193.