Abstract
This paper proposes a novel two-stage structural damage detection strategy based on variational mode decomposition (VMD), fast independent component analysis (FastICA) and enhanced whale optimization algorithm integrated with Salp swarm algorithm (ESSAWOA). In the first stage, VMD and FastICA are utilized to decompose and process the initial response signals of the structure to detect the damage time preliminary. In the second stage, ESSAWOA algorithm is employed to identify the structural parameters (e.g., stiffness, mass or damping ratio) at different periods of time to determine the location and extent of the damage. To investigate the performance of the strategy, the simulation tests in six damage scenarios are carried out on a three-story numerical model. Then, the superiority of the parameter identification method based on ESSAWOA is verified on a seven-story simulation model. Finally, experimental verification on a laboratory seven-story steel frame is conducted to further validate the accuracy of the proposed strategy. The results in both numerical simulations and experimental validation prove that the two-stage strategy can effectively detect the time, location and extent of the damage in the frame structure. Furthermore, it has good applicability and robustness.
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References
Yu J, Meng X, Yan B, Xu B, Fan Q, Xie Y (2020) Global navigation satellite system-based positioning technology for structural health monitoring: a review. Struct Control Health Monit 27(1):e2467
Grabowska J, Palacz M, Krawczuk M (2008) Damage identification by wavelet analysis. Mech Syst Signal Process 22(7):1623–1635. https://doi.org/10.1016/j.ymssp.2008.01.003
Xin Y, Hao H, Li J (2019) Time-varying system identification by enhanced empirical wavelet transform based on synchroextracting transform. Eng Struct 196:109313. https://doi.org/10.1016/j.engstruct.2019.109313
Magalhães F, Cunha A, Caetano E (2012) Vibration based structural health monitoring of an arch bridge: from automated OMA to damage detection. Mech Syst Signal Process 28:212–228. https://doi.org/10.1016/j.ymssp.2011.06.011
Jiang T, Ren L, Wang J-j, Jia Z-g, Li D-s, Li H-n (2020) Experimental investigation of fiber Bragg grating hoop strain sensor–based method for sudden leakage monitoring of gas pipeline. Struct Health Monit 20(6):3024–3035. https://doi.org/10.1177/1475921720978619
Qu C-X, Yi T-H, Li H-N, Chen B (2018) Closely spaced modes identification through modified frequency domain decomposition. Measurement 128:388–392. https://doi.org/10.1016/j.measurement.2018.07.006
Avci O, Abdeljaber O, Kiranyaz S, Hussein M, Gabbouj M, Inman DJ (2021) A review of vibration-based damage detection in civil structures: from traditional methods to machine learning and deep learning applications. Mech Syst Signal Process 147:107077. https://doi.org/10.1016/j.ymssp.2020.107077
Qu C-X, Yi T-H, Zhou Y-Z, Li H-N, Zhang Y-F (2018) Frequency identification of practical bridges through higher-order spectrum. J Aerosp Eng 31(3):04018018. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000840
Qu C-X, Yi T-H, Li H-N (2019) Mode identification by eigensystem realization algorithm through virtual frequency response function. Struct Control Health Monit 26(10):e2429. https://doi.org/10.1002/stc.2429
Tseng KH, Naidu ASK (2002) Non-parametric damage detection and characterization using smart piezoceramic material. Smart Mater Struct 11(3):317
Ding Z, Li J, Hao H, Lu Z-R (2019) Structural damage identification with uncertain modelling error and measurement noise by clustering based tree seeds algorithm. Eng Struct 185:301–314. https://doi.org/10.1016/j.engstruct.2019.01.118
Tran-Ngoc H, Khatir S, De Roeck G, Bui-Tien T, Abdel Wahab M (2019) An efficient artificial neural network for damage detection in bridges and beam-like structures by improving training parameters using cuckoo search algorithm. Eng Struct 199:109637. https://doi.org/10.1016/j.engstruct.2019.109637
Zenzen R, Belaidi I, Khatir S, Abdel Wahab M (2018) A damage identification technique for beam-like and truss structures based on FRF and Bat algorithm. Comptes Rendus Méc 346(12):1253–1266. https://doi.org/10.1016/j.crme.2018.09.003
Gerist S, Maheri MR (2019) Structural damage detection using imperialist competitive algorithm and damage function. Appl Soft Comput 77:1–23. https://doi.org/10.1016/j.asoc.2018.12.032
Tiachacht S, Bouazzouni A, Khatir S, Abdel Wahab M, Behtani A, Capozucca R (2018) Damage assessment in structures using combination of a modified Cornwell indicator and genetic algorithm. Eng Struct 177:421–430. https://doi.org/10.1016/j.engstruct.2018.09.070
Kim N-I, Kim S, Lee J (2019) Vibration-based damage detection of planar and space trusses using differential evolution algorithm. Appl Acoust 148:308–321. https://doi.org/10.1016/j.apacoust.2018.08.032
Dragomiretskiy K, Zosso D (2014) Variational mode decomposition. IEEE Trans Signal Process 62(3):531–544. https://doi.org/10.1109/TSP.2013.2288675
Hyvarinen A (1999) Fast and robust fixed-point algorithms for independent component analysis. IEEE Trans Neural Netw 10(3):626–634. https://doi.org/10.1109/72.761722
Mohanty S, Gupta KK, Raju KS (2018) Hurst based vibro-acoustic feature extraction of bearing using EMD and VMD. Measurement 117:200–220. https://doi.org/10.1016/j.measurement.2017.12.012
Huang N, Shen Z, Long S, Wu M, Shih H, Zheng Q, Yen N, Tung C, Liu H (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc Roy Soc Lond Ser A Math Phys Eng Sci 454(1971):903–995
Smith J (2005) The local mean decomposition and its application to EEG perception data. J R Soc Interface 2(5):443–454. https://doi.org/10.1098/rsif.2005.0058
Feldman M (2006) Time-varying vibration decomposition and analysis based on the Hilbert transform. J Sound Vib 295(3):518–530. https://doi.org/10.1016/j.jsv.2005.12.058
Gilles J (2013) Empirical wavelet transform. IEEE Trans Signal Process 61(16):3999–4010. https://doi.org/10.1109/TSP.2013.2265222
Quqa S, Landi L, Paolo Diotallevi P (2021) Modal assurance distribution of multivariate signals for modal identification of time-varying dynamic systems. Mech Syst Signal Process 148:107136. https://doi.org/10.1016/j.ymssp.2020.107136
Nassef M, Hussein T, Mokhiamar O (2020) An adaptive variational mode decomposition based on sailfish optimization algorithm and Gini index for fault identification in rolling bearings. Measurement 173:108514. https://doi.org/10.1016/j.measurement.2020.108514
Huang Y, Deng Y (2021) A new crude oil price forecasting model based on variational mode decomposition. Knowl-Based Syst 213:106669. https://doi.org/10.1016/j.knosys.2020.106669
Admasie S, Bukhari SBA, Haider R, Gush T, Kim C-H (2019) A passive islanding detection scheme using variational mode decomposition-based mode singular entropy for integrated microgrids. Electr Power Syst Res 177:105983. https://doi.org/10.1016/j.epsr.2019.105983
Hu H, Wang L, Tao R (2021) Wind speed forecasting based on variational mode decomposition and improved echo state network. Renew Energy 164:729–751. https://doi.org/10.1016/j.renene.2020.09.109
Wei W, Li L, Shi W-f, Liu J-p (2021) Ultrasonic imaging recognition of coal-rock interface based on the improved variational mode decomposition. Measurement 170:108728. https://doi.org/10.1016/j.measurement.2020.108728
Tsai J-P, Hsiao C-T (2020) Spatiotemporal analysis of the groundwater head variation caused by natural stimuli using independent component analysis and continuous wavelet transform. J Hydrol 590:125405. https://doi.org/10.1016/j.jhydrol.2020.125405
Sharma R (2020) Musical instrument sound signal separation from mixture using DWT and Fast ICA based algorithm in noisy environment. Mater Tod Proc 29:536–547. https://doi.org/10.1016/j.matpr.2020.07.310
Han L, Li CW, Guo SL, Su XW (2015) Feature extraction method of bearing AE signal based on improved FAST-ICA and wavelet packet energy. Mech Syst Signal Process 62–63:91–99. https://doi.org/10.1016/j.ymssp.2015.03.009
Yang Y, Nagarajaiah S (2014) Blind identification of damage in time-varying systems using independent component analysis with wavelet transform. Mech Syst Signal Process 47(1):3–20. https://doi.org/10.1016/j.ymssp.2012.08.029
Sanchetta AC, Leite EP, Honório BCZ (2013) Facies recognition using a smoothing process through fast independent component analysis and discrete cosine transform. Comput Geosci 57:175–182. https://doi.org/10.1016/j.cageo.2013.03.021
Fan Q, Chen Z, Zhang W, Fang X (2022) ESSAWOA: enhanced whale optimization algorithm integrated with Salp swarm algorithm for global optimization. Eng Comput 38(s1):s797–s814. https://doi.org/10.1007/s00366-020-01189-3
Mirjalili S, Lewis A (2016) The whale optimization algorithm. Adv Eng Softw 95:51–67. https://doi.org/10.1016/j.advengsoft.2016.01.008
Mirjalili S, Gandomi AH, Mirjalili SZ, Saremi S, Faris H, Mirjalili SM (2017) Salp swarm algorithm: a bio-inspired optimizer for engineering design problems. Adv Eng Softw 114:163–191. https://doi.org/10.1016/j.advengsoft.2017.07.002
Mirjalili S, Mirjalili SM, Lewis A (2014) Grey–Wolf optimizer. Adv Eng Softw 69:46–61. https://doi.org/10.1016/j.advengsoft.2013.12.007
Mirjalili S, Mirjalili SM, Hatamlou A (2016) Multi-verse optimizer: a nature-inspired algorithm for global optimization. Neural Comput Appl 27(2):495–513. https://doi.org/10.1007/s00521-015-1870-7
Mirjalili S (2016) SCA: a sine cosine algorithm for solving optimization problems. Knowl-Based Syst 96:120–133. https://doi.org/10.1016/j.knosys.2015.12.022
Jutten C, Herault J (1991) Blind separation of sources, part I: an adaptive algorithm based on neuromimetic architecture. Signal Process 24(1):1–10. https://doi.org/10.1016/0165-1684(91)90079-X
Koh CG, Perry MJ (2009) structural identification and damage detection using genetic algorithms: structures and infrastructures book series, vol 6. CRC Press, London
Funding
This paper is supported by Open Foundation of Key Laboratory for Digital Land and Resources of Jiangxi Province (No. DLLJ201911), Fujian Provincial Transport Science and Technology Project (No. 202103), Science and Technology Project of Xiamen Construction Bureau (No. XJK2020-1-7), Science and Technology Research and Development Project of Fujian Provincial Housing and Construction Department (No. 2020-K-73), Science and Technology Project of Longyan City (No. 2020LYF9005), Guangxi Key Laboratory of Spatial Information and Geomatics (No. 19-185-10-03), Science and Technology Project of Fuzhou City (No. 2020-GX-18). Funding was provided by National Natural Science Foundation of China (Grant No. 41404008).
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Fan, Q., Chen, Z., Xia, Z. et al. A novel structural damage detection strategy based on VMD-FastICA and ESSAWOA. J Civil Struct Health Monit 13, 149–163 (2023). https://doi.org/10.1007/s13349-022-00629-6
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DOI: https://doi.org/10.1007/s13349-022-00629-6