Abstract
This chapter aims to provide an overview of the treatment of uncertainty in vibration-based monitoring and identification problems. This is delivered by means of an exemplary overview of methods that are structured in the time domain, and are of a parametric class, and which may or may not necessitate an assumption of an a priori system structure. In this respect, two main classes are herein demonstrated, namely (i) models formulated in the state-space domain, and (ii) models of the autoregressive type. The goal lies in tackling diverse sources of uncertainties including the identification of (i) linear system models from ambient sources, (ii) unmeasured system states under known excitation, (iii) potentially unknown a priori parameters, (iv) unmeasured input sources or (v) nonlinear response characteristics. A metamodeling approach able to account for the uncertainties in simulating nonlinear, dynamically evolving engineered systems is also touched upon herein.
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Chatzi, E.N., Spiridonakos, M.D., Smyth, A.W. (2016). Implementation of Parametric Methods for the Treatment of Uncertainties in Online Identification. In: Chatzi, E., Papadimitriou, C. (eds) Identification Methods for Structural Health Monitoring. CISM International Centre for Mechanical Sciences, vol 567. Springer, Cham. https://doi.org/10.1007/978-3-319-32077-9_3
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