An Interval Uncertainty Based Method for Damage Identification

Gabriele, Stefano; Valente, C.; Brancaleoni, Fabio

doi:10.4028/www.scientific.net/kem.347.551

Cited by 18 publications

(8 citation statements)

References 5 publications

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“…Concretely, structural responses are determined by solving a set of linear interval equations [14]. Parameter intervals are then estimated through an inverse optimization process [15,16]. The optimization process incorporates a model updating strategy with interval algorithms [15].…”

Section: Introductionmentioning

confidence: 99%

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Statics-Based Model-Free Damage Detection under Uncertainties Using Modal Interval Analysis

Fang

Huang

2020

Materials

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Deterministic damage detection methods often fail in practical applications due to ever-present uncertainties. Moreover, vibration-based model updating strategies are easily affected by measurement noises and could encounter ill-conditioning problems during inverse solutions. On this account, a model-free method has been proposed combining modal interval analyses with static measurements. Structural geometrical dimensions, material parameters and external loads are expressed by interval variables representing uncertainties. Mechanical formulas for static responses are then extended to their interval forms, which are subsequently solved using classic interval and modal interval analyses. The analytical interval envelopes of static responses such as deflections and strains are defined by the interval solutions, and damage can be detected when the measured responses intersect the envelopes. By this approach, potential damage can be found in a fast and rough way without any inverse solution process such as model updating. The proposed method has been verified against both numerical and experimental reinforced concrete beams whose strains were taken as the desirable responses. It was found that the strain envelopes provided by modal interval analysis were narrower than those by classic interval analysis. Modal interval analysis effectively avoids the phenomenon of interval overestimation. In addition, the intersection point also identifies the current external load, providing a loading alarm for structures.

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Section: Introductionmentioning

confidence: 99%

“…Parameter intervals are then estimated through an inverse optimization process [15,16]. The optimization process incorporates a model updating strategy with interval algorithms [15]. Also, a two-step interval updating procedure can be used to obtain the intervals of structural parameters before and after damage [16].…”

Section: Introductionmentioning

confidence: 99%

Statics-Based Model-Free Damage Detection under Uncertainties Using Modal Interval Analysis

Fang

Huang

2020

Materials

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“…Wang et al [22] proposed a method of model updating based on interval inverse analysis, which utilized the bounded static displacements of the structures. Gabriele et al [23] combined interval analysis and model updating based on the natural frequency of structure and applied it into damage identification. Unfortunately, the natural frequency is not sensitive in the local damage detection, and it costs huge computation.…”

Section: Introductionmentioning

confidence: 99%

Set-membership identification technique for structural damage based on the dynamic responses with noises

Shi

Wang

et al. 2016

Struct. Control Health Monit.

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SUMMARYBased on the availability of measured acceleration signals of structures, the interval analysis technique and setmembership identification concept are combined to identify the structural damage in this paper. Because of the insufficiency and uncertainty of information obtained from measurements, the noises of measurements are enveloped by interval numbers. Via the first-order Taylor series expansion, the interval bounds of the element stiffness parameters (ESPs) of both undamaged and damaged structures are derived by updating the reference finite element model. Through the intersection operations of intervals of the ESP obtained from dynamic responses in different time periods, the estimate intervals of the ESP are refined. Three damage indexes as stiffness reduce factor, possibility of damage existence, and damage measure index are introduced to identify the damage in the structure. Even though the dynamic responses are with low signal-to-noise ratio, the injury of structure can be detected by the proposed method. Two numerical examples and an experimental example are performed to demonstrate the feasibility and effectiveness of the proposed technique. The results show that the proposed method can improve the accuracy of damage diagnosis compared with the deterministic damage identification method.

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“…The probabilistic distributions of the uncertainties are usually not available. In this regard, the non-probabilistic interval analysis has been developed [18,19] for damage identification, in which the uncertainty bounds, rather than the probabilistic distributions, of the measurement data are employed. Wang et al [20,21] applied the interval analysis technique for structural damage identification using the bounded natural frequencies and the static displacements of the structures, respectively.…”

Section: Introductionmentioning

confidence: 99%

Structural damage measure index based on non-probabilistic reliability model

Wang

Xia

Zhou

et al. 2014

Journal of Sound and Vibration

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Uncertainties in the structural model and measurement data affect structural condition assessment in practice. As the probabilistic information of these uncertainties lacks, the non-probabilistic interval analysis framework is developed to quantify the interval of the structural element stiffness parameters. According to the interval intersection of the element stiffness parameters in the undamaged and damaged states, the possibility of damage existence is defined based on the reliability theory. A damage measure index is then proposed as the product of the nominal stiffness reduction and the defined possibility of damage existence. This new index simultaneously reflects the damage severity and possibility of damage at each structural component.Numerical and experimental examples are presented to illustrate the validity and applicability of the method. The results show that the proposed method can improve the accuracy of damage diagnosis compared with the deterministic damage identification method.

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An Interval Uncertainty Based Method for Damage Identification

Cited by 18 publications

References 5 publications

Statics-Based Model-Free Damage Detection under Uncertainties Using Modal Interval Analysis

Statics-Based Model-Free Damage Detection under Uncertainties Using Modal Interval Analysis

Set-membership identification technique for structural damage based on the dynamic responses with noises

Structural damage measure index based on non-probabilistic reliability model

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