Damage Quantification in Composite Structures Using Autoregressive Models

Journal of Intelligent Material Systems and Structures

Rébillat

et al. 2020

Self Cite

This paper presents the potentiality of the use of extrapolation of a set of Auto-Regressive (AR) models to inspect a future damage sensitive indices based on changes in one-step-ahead prediction errors. The key idea is to use multiple AR models to assess a data-driven model to represent and predict the time-series outputs of the PZT sensors receiving Lamb waves in a composite coupon. Based on some simplified assumptions, after detecting initial damage using some previous classifier, its progression evaluation by interpolating the AR parameters is proposed and examined based on cubic spline functions. After, an extrapolated AR model using this information may verify the future state and to inspect how the damage could progress. An aeronautical composite panel with bonded piezoelectric elements that act both as sensors and actuators is utilized to examine the relationship between the variation of the identified model parameters with various levels of simulated damage. The results have shown a smooth and adequate correlation between the estimates obtained by the extrapolated model and the actual progress of the damage observed. The significant advantage of the proposed procedure is implementing this task without adopting a complicated and costly mathematical-physical model.

Section: Extrapolation Of Ar Coefficients Using Cubic Splinesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Extrapolation of AR models using cubic splines for damage progression evaluation in composite structures

Journal of Intelligent Material Systems and Structures

Rébillat

et al. 2020

Self Cite

“…The damage quantification is not yet extensively addressed by the scientific community, but it is crucial to improve the safety and useful life of structures, thus motivating the scientific community to develop some damage quantification methods. Paixão et al (2020) used AutoRegressive (AR) models on Lamb wave signals measured on a composite material plate to calculate damage-sensitive features for calculating indexes using the Mahalanobis square distance. Quantification was achieved by learning a defined curve, using cubic spline functions to predict the delamination area.…”

Section: Introductionmentioning

confidence: 99%

Polynomial Chaos-Kriging metamodel for quantification of the debonding area in large wind turbine blades

Pavlack

Structural Health Monitoring

et al. 2021

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This study aims to investigate the performance of a data-driven methodology for quantifying damage based on the use of a metamodel obtained from the Polynomial Chaos-Kriging method. The investigation seeks to quantify the severity of the damage, described by a specific type of debonding in a wind turbine blade as a function of a damage index. The damage indexes used are computed using a data-driven vibration-based structural health monitoring methodology. The blade’s debonding damage is introduced artificially, and the blade is excited with an electromechanical actuator that introduces a mechanical impulse causing the impact on the blade. The acceleration responses’ vibrations are measured by accelerometers distributed along the trailing and the wind turbine blade. A metamodel is formerly obtained through the Polynomial Chaos-Kriging method based on the damage indexes, trained with the blade’s healthy condition and four damage conditions, and validated with the other two damage conditions. The Polynomial Chaos-Kriging manifests promising results for capturing the proper trend for the severity of the damage as a function of the damage index. This research complements the damage detection analyses previously performed on the same blade.

“…The damage quantification is achieved by applying a metric based on the energy density released, extracted from the Hilbert spectral analysis of the Lamb wave signals, which presents a linear correlation with the delamination extent provided by polynomial regression. Paixao et al (2020) used auto-regressive (AR) models upon Lamb wave signals measured in a composite plate to compute damage-sensitive features for computation of indices using Mahalanobis squared distance (MSD). The quantification was achieved by training a set curve utilizing cubic spline functions to predict the delamination area.…”

Section: Introductionmentioning

confidence: 99%

Delamination area quantification in composite structures using Gaussian process regression and auto-regressive models

Journal of Vibration and Control

Figueiredo

et al. 2020

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After detecting initial delamination damage in a hotspot region of a composite structure monitored through a data-driven approach, the user needs to decide if there is an imminent structural failure or if the system can be kept in operation under monitoring to track the damage progression and its impact on the structural safety condition. Therefore, this study proposes delamination area quantification by stochastically interpolating global damage indices based on Gaussian process regression and taking into account uncertainty. Auto-regressive models are applied to extract damage-sensitive features from Lamb wave signals, and the Mahalanobis squared distance is used to compute damage indices. Two sets of laboratory tests are used to demonstrate the effectiveness of this methodology—one in carbon–epoxy laminate with simulated damage under temperature changes to show the general steps of the procedure, and a second test involving a set of carbon fiber–reinforced polymer coupons with actual delamination caused by repeated fatigue loads. Various levels of progression damage, measured by the covered area of delamination, are monitored using piezoelectric lead zirconate titanate patches bonded to the structural surfaces of these setups. The Gaussian process regression proved to be capable of accommodating the uncertainties to relate the damage indices versus the damaged area. The results exhibit a smooth and adequate prediction of the damaged area for both simulated damage and actual delamination.