Abstract
A damage detection method for complicated beam-like structures is proposed based on the subsection strain energy method (SSEM), and its applicability condition is introduced. For a beam with the continuously varying flexural stiffness and an edge crack, the SSEM is used to detect the crack location effectively by numerical modal shapes. As a complicated beam, the glass fiber-reinforced composite model of a wind turbine blade is studied based on an experimental modal analysis. The SSEM is used to calculate the damage index from the measured modal parameters and locate the damage position in the blade model successfully. The results indicate that the SSEM based on the modal shapes can be used to detect the damages in complicated beams or beam-like structures for engineering applications.
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References
Farrar, C. R. and Doebling, S. W. An overview of modal-based damage identification methods. Proceedings of the DAMAS Conference, Sheffield, UK (1997)
Ratcliffe, C. P. Damage detection using a modified Laplacian operator on mode shape data. Journal of Sound and Vibration, 204(3), 505–517 (1997)
Yoon, M. K., Heider, D., Gillespie, J. W., Ratcliffe, C. P., and Crane, R. M. Local damage detection using the two-dimensional gapped smoothing method. Journal of Sound and Vibration, 279(1–2), 119–139 (2005)
Wang, J. L. and Qiao, P. Z. Improved damage detection of beam-type structures using uniform load surface. Structure Health Monitor, 6(2), 99–110 (2007)
Fan, W. and Qiao, P. Z. A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures. International Journal of Solids and Structures, 46(25–26), 4379–4395 (2009)
Chen, H. G., Yan, Y. J., and Jiang, J. S. Vibration-based damage detection in composite wingbox structures by HHT. Mechanical Systems and Signal Processing, 21(1), 307–321 (2007)
Ghoshal, A., Sundaresan, M. J., Schulz, M. J., and Pai, P. F. Structural health monitoring techniques for wind turbine blades. Journal of Wind Engineering and Industrial Aerodynamics, 85(3), 309–324 (2000)
Stubbs, N., Kim, J. T., and Farrar, C. R. Field verification of a nondestructive damage localization and sensitivity estimator algorithm. Proceedings of the 13th International Modal Analysis Conference, Nashville, Tennessee, USA, 210–218 (1995)
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Communicated by Wen-rui HU
Project supported by theNational Basic Research Program of China (973 Program)(No. 2007CB714603)
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Feng, K., Li, Z., Gao, Gy. et al. Damage detection method in complicated beams with varying flexural stiffness. Appl. Math. Mech.-Engl. Ed. 32, 469–478 (2011). https://doi.org/10.1007/s10483-011-1431-x
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DOI: https://doi.org/10.1007/s10483-011-1431-x
Key words
- nondestructive testing
- modal strain energy
- varying flexural stiffness beam
- fiber reinforced composite material
- wind turbine blade