Abstract
The present paper reviews a method based on output feedback eigenstructure assignment for locating damage in minimum-phase structural systems with measurable input and output. The methodological concept is to assign a subset of eigenpairs invariant to a postulated damage pattern in one structural subdomain at a time and then locate damage when the assigned eigenpairs, in an idealized setting, do not change due to damage. In real applications, where strict invariance is unattainable, damage is located when the discrepancy between the assigned eigenpairs from the reference and damaged configurations is minimized. The required output feedback is realized through offline signal processing of input-output data collected from open-loop testing, and the eigenstructure assignment is formulated with eigenvalues and left eigenvectors. The principles of the method are reviewed and subsequently demonstrated in the context of a numerical example.
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References
Friswell, M.I.: Damage identification using inverse methods. Philos. Trans. Roy. Soc. A: Math. Phys. Eng. Sci. 365(1851), 393–410 (2007). https://doi.org/10.1098/rsta.2006.1930
Bernal, D.: Damage localization from the null space of changes in the transfer matrix. AIAA J. 45(2), 374–381 (2007). https://doi.org/10.2514/1.25037
Allahdadian, S., Döhler, M., Ventura, C., Mevel, L.: Towards robust statistical damage localization via model-based sensitivity clustering. Mech. Syst. Signal Process. 134, 106341 (2019). https://doi.org/10.1016/j.ymssp.2019.106341
Kaewunruen, S., Laflamme, S., Cao, L., Chatzi, E., Ubertini, F.: Damage detection and localization from dense network of strain sensors. Shock. Vib. 2016, 2562949 (2016). https://doi.org/10.1155/2016/2562949
Ulriksen, M.D.: Damage localization for structural health monitoring: an exploration of three new vibration-based schemes. Doctoral dissertation, Aalborg University (2018)
Lim, T.W., Kashangaki, T.A.L.: Structural damage detection of space truss structures using best achievable eigenvectors. AIAA J. 32(5), 1049–1057 (1994). https://doi.org/10.2514/3.12093
Bernal, D., Kunwar, A.: Steady state shift damage localization. Meccanica 51(11), 2861–2871 (2016). https://doi.org/10.1007/s11012-016-0501-4
Ulriksen, M.D., Bernal, D., Damkilde, L.: Shaped input distributions for structural damage localization. Mech. Syst. Signal Process. 110, 499–508 (2018). https://doi.org/10.1016/j.ymssp.2018.03.039
Bernal, D., Ulriksen, M.D.: Subspace exclusion zones for damage localization. Mech. Syst. Signal Process. 114, 120–127 (2019). https://doi.org/10.1016/j.ymssp.2018.05.002
Ulriksen, M.D., Bernal, D., Memarzadeh, E.: Eigenstructure assignment for structural damage localization in deterministic-stochastic systems (2022, to appear)
Bernal, D.: Virtual output feedback in parameter estimation. Mech. Syst. Signal Process. 142, 106786 (2020). https://doi.org/10.1016/j.ymssp.2020.106786
Ulriksen, M.D., Bernal, D.: On the use of complex gains in virtual feedback for model updating. In: International Conference on Structural Engineering Dynamics (ICEDyn), pp. 9–16 (2019)
van Overschee, P., De Moor, B.: Subspace Identification for Linear Systems: Theory - Implementation - Applications, 1st edn., Kluwer Academic Publishers (1996)
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Ulriksen, M.D., Memarzadeh, E., Bernal, D., Lopez, J.A. (2023). Damage Localization Through Assignment of Invariant Eigenpairs. In: Rizzo, P., Milazzo, A. (eds) European Workshop on Structural Health Monitoring. EWSHM 2022. Lecture Notes in Civil Engineering, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-031-07258-1_74
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DOI: https://doi.org/10.1007/978-3-031-07258-1_74
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