Abstract
This study proposes a new damage identification method based on a combination of complete ensemble empirical mode decomposition (CEEMD) and power spectrum density (PSD) sensitivity analysis to analyze the acceleration signals of bridge structures under moving loads and achieve damage detection of bridge structures. This paper has achieved the ability to accurately identify the location of cracks and the extent of the damage along a girder with only one acceleration sensor arrangement. The measured data is processed by the CEEMD method. The damage location is revealed by directly examining the first-order intrinsic mode function corresponding to the highest-order pseudo-frequency component, which presents an abrupt change at the damage location. Secondly, after determining the damage location of the bridge, only the power spectrum sensitivity analysis of the crack parameters at the damage location is required to obtain the damage level, avoiding the need to blindly solve the power spectrum for all elements. Finally, the identification method is validated by considering environmental noise, damage locations, and crack depths. The numerical simulation results and experiments for various working conditions show that the method adopted in this paper has good identification capability in identifying cracks in bridge structures.
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Abbreviations
- M :
-
Mass matrix
- C :
-
Damping matrix
- K :
-
Stiffness matrix
- H* :
-
Conjugate of the frequency response function
- H T :
-
Transpose of the frequency response function
- S ff :
-
Excitation spectrum
- L :
-
Beam length
- B :
-
Section width
- h :
-
Section height
- ρ :
-
Density
- P :
-
Magnitude of the moving load
- V :
-
Load speed
- L 1 :
-
Crack distance from the left end position
- d :
-
Crack depth
- ρA :
-
Mass per unit length
- EI :
-
Flexural stiffness
- W (x, t):
-
Displacement of the beam
- Δ:
-
Dirac delta function
- k :
-
Stiffness of the rotational spring
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Acknowledgments
The work in this paper was supported by a grant from Key Laboratory of Large Structure Health Monitoring and Control, Shijiazhuang, 050043 (Project No. KLLSHMC2107) and by a grant from Science and Technology Research Project of Higher Education of Hebei Province (Project No. QN2021025). The authors are grateful for the generous support.
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Youliang Fang received his Ph.D. in aircraft design from Beijing University of Aeronautics and Astronautics in 1999. He is now a Professor at Hebei University. His research interests include structural health monitoring, structural performance evaluation, structural vibration and control, structural construction simulation and control, structural disaster simulation.
Jie Xing received the B.E. from Xi’an University of Architecture and Technology, China, in 2020. Now he is studying for a Master’s at Hebei University. His current research interest is structural damage identification.
Ying Zhang is lecturer of College of Civil Engineering and Architecture, Hebei University. She received her Ph.D. from the School of Energy Power and Mechanical Engineering, North China Electric Power University. Her research interests include structural health monitoring of bridge engineering and building structure, mechanics and vibration.
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Fang, Y., Xing, J., Liu, X. et al. Damage detection of bridge structures under moving loads based on CEEMD and PSD sensitivity analysis. J Mech Sci Technol 37, 3335–3346 (2023). https://doi.org/10.1007/s12206-023-0601-8
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DOI: https://doi.org/10.1007/s12206-023-0601-8