A Modified Reference-free Modal Strain Energy Method for Damage Identification in 2D Structures
Abstract
Health monitoring of structures is gaining the interest of many engineers because of its role in early detection of structural damage. The commonly used damage detection techniques based on vibrations, require data from both pristine and damaged form of the structure to discriminate the damage. In most cases the data from pristine structure are not available. To make the process of damage detection baseline-free, the curvature mode shapes of the damaged structure are fitted with a smoothing polynomial curve. These smoothed curvature mode shapes can be further used as reference data. Among many damage detection methods, modal strain energy method has proven to be more effective as it considers the strain energy of the structure at each mode. However, noise in the acquired response affects the success rate of the said method. To deal with this problem, a modification function is employed to amend the basic form of modal strain energy method. This modified modal strain energy method helped in giving damage indices which are less clouded with noisy peaks. However, it was still not able to detect and localize the damage with good accuracy. In this paper, along with this modified modal strain energy method which is made reference-free, a 2D Bayesian approach is presented. The approach uses the damage indices generated from the modified modal strain energy method and delivers an estimated damage index indicating the damage locations. The approach was tested for different scenarios of damage in terms of their severities, locality and noise levels and the results are compared with the published literature.References
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[6] Dessi, D., & Camerlengo, G. (2015). Damage identification techniques via modal curvature analysis: overview and comparison. Mechanical Systems and Signal Processing, 52, 181-205.
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[9] Dahak, M., Touat, N., & Kharoubi, M. (2019). Damage detection in beam through change in measured frequency and undamaged curvature mode shape. Inverse Problems in Science and Engineering, 27(1), 89-114.
[10] Cao, S., Ouyang, H., & Cheng, L. (2019). Baseline-free adaptive damage localization of plate-type structures by using robust PCA and Gaussian smoothing. Mechanical Systems and Signal Processing, 122, 232-246.
[11] Baneen, U., & Kausar, Z. (2018). A baseline-free modal strain energy method for damage localisation. International Journal of Civil Engineering, 16(6), 607-618.
[12] Pedram, M., Esfandiari, A., & Khedmati, M. R. (2018). Frequency domain damage detection of plate and shell structures by finite element model updating. Inverse Problems in Science and Engineering, 26(1), 100-132.
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[16] Hasrizam, C. M., & Fawari, N. (2017, November). Damage identification based on curvature mode shape using cubic polynomial regression and chebyshev filters. In Global Congress on Construction-Material and Structural Engineering (Vol. 271, p. 7p).
[17] Shi, Z., Law, S. S., & Zhang, L. (2000). Structural damage detection from modal strain energy change. Journal of engineering mechanics, 126(12), 1216-1223.
[18] Wang, S., & Xu, M. (2019). Modal strain energy-based structural damage identification: a review and comparative study. Structural Engineering International, 29(2), 234-248.
[19] Dinh-Cong, D., Vo-Duy, T., Ho-Huu, V., & Nguyen-Thoi, T. (2019). Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm. Inverse Problems in Science and Engineering, 27(2), 166-189.
[20] Cornwell, P., Doebling, S. W., & Farrar, C. R. (1999). Application of the strain energy damage detection method to plate-like structures. Journal of sound and vibration, 224(2), 359-374.
[21] Lanka, R., & Rao, P. S. (2019). Vibration Based Damage Detection in Plate-Like Structure Using Square of Mode Shape Curvature. European Journal of Computational Mechanics, 269-306.
[22] Wahalathantri, B. L., Thambiratnam, D., Chan, T. H., & Fawzia, S. (2010, September). An improved modal strain energy method for damage assessment. In Proceedings of the tenth international conference on computational structures technology. Civil-Comp Press.
[23] Moradipour, P., Chan, T. H., & Gallage, C. (2015). An improved modal strain energy method for structural damage detection, 2D simulation. Structural Engineering and Mechanics, 54(1), 105-119.
[24] Navabian, N., Bozorgnasab, M., Taghipour, R., & Yazdanpanah, O. (2016). Damage identification in plate-like structure using mode shape derivatives. Archive of Applied Mechanics, 86(5), 819-830.
[25] Fan, W., & Qiao, P. (2009). 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.
[26] Cao, S., Ouyang, H., & Cheng, L. (2019). Baseline‐free multidamage identification in plate‐like structures by using multiscale approach and low‐rank modelling. Structural Control and Health Monitoring, 26(2), e2293.
[2] Roy, K. (2017). Structural damage identification using mode shape slope and curvature. Journal of Engineering Mechanics, 143(9), 04017110.
[3] Sarah, J., Hejazi, F., Rashid, R. S., & Ostovar, N. (2019, November). A review of dynamic analysis in frequency domain for structural health monitoring. In IOP Conference Series: Earth and Environmental Science (Vol. 357, No. 1, p. 012007). IOP Publishing
[4] Lin, X., & Yuan, F. G. (2001). Detection of multiple damages by prestack reverse-time migration. AIAA journal, 39(11), 2206-2215.
[5] Yang, J. Y., Xia, B. H., Chen, Z., Li, T. L., & Liu, R. (2020). VIBRATION-BASED STRUCTURAL DAMAGE IDENTIFICATION: A REVIEW. International Journal of Robotics and Automation, 35(2).
[6] Dessi, D., & Camerlengo, G. (2015). Damage identification techniques via modal curvature analysis: overview and comparison. Mechanical Systems and Signal Processing, 52, 181-205.
[7] Altunışık, A. C., Okur, F. Y., Karaca, S., & Kahya, V. (2019). Vibration-based damage detection in beam structures with multiple cracks: modal curvature vs. modal flexibility methods. Nondestructive Testing and Evaluation, 34(1), 33-53.
[8] Roy, K. (2017). Structural damage identification using mode shape slope and curvature. Journal of Engineering Mechanics, 143(9), 04017110.
[9] Dahak, M., Touat, N., & Kharoubi, M. (2019). Damage detection in beam through change in measured frequency and undamaged curvature mode shape. Inverse Problems in Science and Engineering, 27(1), 89-114.
[10] Cao, S., Ouyang, H., & Cheng, L. (2019). Baseline-free adaptive damage localization of plate-type structures by using robust PCA and Gaussian smoothing. Mechanical Systems and Signal Processing, 122, 232-246.
[11] Baneen, U., & Kausar, Z. (2018). A baseline-free modal strain energy method for damage localisation. International Journal of Civil Engineering, 16(6), 607-618.
[12] Pedram, M., Esfandiari, A., & Khedmati, M. R. (2018). Frequency domain damage detection of plate and shell structures by finite element model updating. Inverse Problems in Science and Engineering, 26(1), 100-132.
[13] Sazonov, E. S., Klinkhachorn, P., Halabe, U. B., & GangaRao, H. V. (2002). Non-baseline detection of small damages from changes in strain energy mode shapes. Nondestructive Testing and Evaluation, 18(3-4), 91-107.
[14] Yang, Z. B., Radzienski, M., Kudela, P., & Ostachowicz, W. (2016). Scale-wavenumber domain filtering method for curvature modal damage detection. Composite Structures, 154, 396-409.
[15] Janeliukstis, R., Rucevskis, S., Akishin, P., & Chate, A. (2016). Wavelet transform based damage detection in a plate structure. Procedia engineering, 161, 127-132.
[16] Hasrizam, C. M., & Fawari, N. (2017, November). Damage identification based on curvature mode shape using cubic polynomial regression and chebyshev filters. In Global Congress on Construction-Material and Structural Engineering (Vol. 271, p. 7p).
[17] Shi, Z., Law, S. S., & Zhang, L. (2000). Structural damage detection from modal strain energy change. Journal of engineering mechanics, 126(12), 1216-1223.
[18] Wang, S., & Xu, M. (2019). Modal strain energy-based structural damage identification: a review and comparative study. Structural Engineering International, 29(2), 234-248.
[19] Dinh-Cong, D., Vo-Duy, T., Ho-Huu, V., & Nguyen-Thoi, T. (2019). Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm. Inverse Problems in Science and Engineering, 27(2), 166-189.
[20] Cornwell, P., Doebling, S. W., & Farrar, C. R. (1999). Application of the strain energy damage detection method to plate-like structures. Journal of sound and vibration, 224(2), 359-374.
[21] Lanka, R., & Rao, P. S. (2019). Vibration Based Damage Detection in Plate-Like Structure Using Square of Mode Shape Curvature. European Journal of Computational Mechanics, 269-306.
[22] Wahalathantri, B. L., Thambiratnam, D., Chan, T. H., & Fawzia, S. (2010, September). An improved modal strain energy method for damage assessment. In Proceedings of the tenth international conference on computational structures technology. Civil-Comp Press.
[23] Moradipour, P., Chan, T. H., & Gallage, C. (2015). An improved modal strain energy method for structural damage detection, 2D simulation. Structural Engineering and Mechanics, 54(1), 105-119.
[24] Navabian, N., Bozorgnasab, M., Taghipour, R., & Yazdanpanah, O. (2016). Damage identification in plate-like structure using mode shape derivatives. Archive of Applied Mechanics, 86(5), 819-830.
[25] Fan, W., & Qiao, P. (2009). 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.
[26] Cao, S., Ouyang, H., & Cheng, L. (2019). Baseline‐free multidamage identification in plate‐like structures by using multiscale approach and low‐rank modelling. Structural Control and Health Monitoring, 26(2), e2293.
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Published
2021-01-19
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Section
Mechanical Engineering, Automotive, Mechatronics, Textile, Industrial and Manufacturing Engineering
