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GP-ARX-Based Structural Damage Detection and Localization under Varying Environmental Conditions
Abstract
The representation of structural dynamics in the absence of physics-based models, is often accomplished through the identification of parametric models, such as the autoregressive with exogenous inputs, e.g. ARX models. When the structure is amenable to environmental variations, parameter-varying extensions of the original ARX model can be implemented, allowing for tracking of the operational variability. Yet, the latter occurs in sufficiently longer time-scales (days, weeks, months), as compared to system dynamics. For inferring a “global”, long time-scale varying ARX model, data from a full operational cycle has to typically become available. In addition, when the sensor network comprises multiple nodes, the identification of long time-scale varying, vector ARX models grow in complexity. We address these issues by proposing a distributed framework for structural identification, damage detection and localization. Its main features are: (i) the individual estimation of local, single-input-single-output ARX models at every operational point; (ii) the long time-scale representation of each individual ARX coefficient via a Gaussian process regression, which captures dependency on varying Environmental and Operational Conditions (EOCs); (iii) the establishment of a distributed residual generation algorithm for damage detection, which produces time-series of well-defined stationary statistics, with detected discrepancies used for damage diagnosis; and, (iv) exploitation of ARX-inferred mode shape curvatures, obtained via ARX-inferred global state-space models, of the healthy and damaged states, for damage localization. The method is assessed via application on two numerical case studies of different complexity, with the results confirming its efficacy for diagnostics under varying EOCs.
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“It is noted that not all AR/X parameters return structured from the estimation stage, which implies that their GPR modeling may fail.This is an issue already reported by the authors [154].”
From On the Consistent Classification and Treatment of Uncertainties in Structural Health Monitoring Applications (2025) · cites this paper as [154]
In the citing paper
“In any case, the GPR-ARX model may be interpreted as a global description of the system in closed-form, when EOV is present, and may be further applied for SHM purposes [154].”
From On the Consistent Classification and Treatment of Uncertainties in Structural Health Monitoring Applications (2025) · cites this paper as [154]
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On the use of mode shape curvatures for damage localization under varying environmental conditions
Shokrani, Y., Dertimanis, V. K., Chatzi, E. N., & N. Savoia, M. (2018) · Structural Control and Health Monitoring · doi:10.1002/stc.2132 · Cited by 76
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Cited by
Kamariotis, A., Vlachas, K., Ntertimanis, V., Koune, I., Cicirello, A., & Chatzi, E. (2025) · ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering · doi:10.1115/1.4067140 · Cited by 15
Self-citation
Metadata
- Authors
- Tatsis, K., Dertimanis, V., Ou, Y., & Chatzi, E.
- Affiliations
- Chair of Structural Mechanics & Monitoring, Department of Civil, Environmental and Geomatic Engineering, ETH Zürich, Stefano-Franscini-Platz 5, 8093 Zürich, Switzerland
- Venue
- Journal of Sensor and Actuator Networks
- Publisher
- MDPI AG
- Published
- 2020-09-08
- Volume
- 9
- Issue
- 3
- Pages
- 41
- ISSN
- 2224-2708
- Cited by
- 12
- References
- 1
- Language
- en
- Funders
- European Research Council (ERC-2015-StG #679843 and ERC-2018-PoCWINDMIL RT-DT)
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