Abstract
The present study aims to demonstrate the capabilities of singular spectrum analysis (SSA) as a filter bank that could potentially be integrated into a modal identification framework using single-sensor output information. SSA reconstructs the original time series using principal components from the signal subspace—thereby eliminating noise components altogether—and yields a filtered signal that finds its use in modal identification. Using time-domain decomposition and least-squares technique, the modal response generated using SSA is fit with a free-decay signal from which the estimates of natural frequencies and damping ratios are carried out. The paper attempts to investigate a simple model of a dynamical system and analyzes it using the proposed approach to provide a comparison with traditional operational modal analysis techniques. The results demonstrate that SSA can be used as a powerful tool for the analysis of vibratory behavior for structures exhibiting well-separated spectral components. Inherent filtering embedded within its framework and its seamless integration into a modal identification framework hold strong promise for application inbuilt infrastructure systems.
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References
Zhou W, Chelidze D (2007) Blind source separation based vibration mode identification. Mech Syst Signal Process 21(8):3072–3087
Hazra B, Sadhu A, Roffel AJ, Narasimhan S (2012) Hybrid time-frequency blind source separation towards ambient system identification of structures. Comput-Aided Civ Infrastruct Eng 27(5):314–332
Li J, Zhu X, Law SS, Samali B (2019) Drive-by blind modal identification with singular spectrum analysis. J Aerosp Eng 32(4):04019050
Bhowmik B, Krishnan M, Hazra B, Pakrashi V (2019) Real-time unified single-and multi-channel structural damage detection using recursive singular spectrum analysis. Struct Health Monit 18(2):563–589
Krishnan M, Bhowmik B, Hazra B, Pakrashi V (2018) Real time damage detection using recursive principal components and time varying auto-regressive modeling. Mech Syst Signal Process 101:549–574
Bhowmik B (2018) Online structural damage detection using first order Eigen perturbation techniques. Doctoral Dissertation
Bhowmik B, Tripura T, Hazra B, Pakrashi V (2019) First-order Eigen-perturbation techniques for real-time damage detection of vibrating systems: theory and applications. Appl Mech Rev 71(6)
Yang Y, Nagarajaiah S (2013) Time-frequency blind source separation using independent component analysis for output-only modal identification of highly damped structures. J Struct Eng 139(10):1780–1793
Bhowmik B, Tripura T, Hazra B, Pakrashi V (2020) Real time structural modal identification using recursive canonical correlation analysis and application towards online structural damage detection. J Sound Vib 468:115101
Bhowmik B, Tripura T, Hazra B, Pakrashi V (2020) Robust linear and nonlinear structural damage detection using recursive canonical correlation analysis. Mech Syst Signal Process 136:106499
Sadhu A, Hazra B, Narasimhan S (2013) Decentralized modal identification of structures using parallel factor decomposition and sparse blind source separation. Mech Syst Signal Process 41(1–2):396–419
Zhang L, Brincker R (2005) An overview of operational modal analysis: major development and issues. In: Proceedings of the 1st International operational modal analysis conference, April 26–27, 2005, Copenhagen, Denmark. Aalborg Universitet, pp 179–190
Brincker R, Zhang L, Andersen P (2001) Modal identification of output-only systems using frequency domain decomposition. Smart Mater Struct 10(3):441
Peeters B, De Roeck G (1999) Reference-based stochastic subspace identification for output-only modal analysis. Mech Syst Signal Process 13(6):855–878
Kim BH, Stubbs N, Park T (2005) A new method to extract modal parameters using output-only responses. J Sound Vib 282(1–2):215–230
Cheynet E, Daniotti N, Jakobsen JB, Snæbjörnsson J (2020) Improved long‐span bridge modeling using data‐driven identification of vehicle‐induced vibrations. Struct Control Health Monit 27(9):e2574
Bhowmik B, Panda S, Hazra B, Pakrashi V (2021) Feedback-driven error-corrected single-sensor analytics for real-time condition monitoring. Int J Mech Sci 106898
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Bhowmik, B. (2023). Improved Single-Sensor-Based Modal Identification Using Singular Spectrum Analysis. In: Nandagiri, L., Narasimhan, M.C., Marathe, S. (eds) Recent Advances in Civil Engineering. CTCS 2021. Lecture Notes in Civil Engineering, vol 256. Springer, Singapore. https://doi.org/10.1007/978-981-19-1862-9_56
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DOI: https://doi.org/10.1007/978-981-19-1862-9_56
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