A model-based approach for statistical assessment of detection and localization performance of guided wave–based imaging techniques

This article aims at providing a framework for assessing the detection and localization performance of guided wave–based structural health monitoring imaging systems. The assessment exploits a damage identification metric providing a diagnostic of the structure from an image of the scatterers generated by the system, allowing detection, localization, and size estimation of the damage. Statistical probability of detection and probability of localization curves are produced based on values of the damage identification metric for several damage sizes and positions. Instead of relying on arduous measurements on a significant number of structures instrumented in the same way, a model-based approach is considered in this article for estimating probability of detection and probability of localization curves numerically. This approach is first illustrated in a simplistic model, which allows characterizing the robustness of the structural health monitoring system for various levels of noise in test signals. An experimental test case using a more realistic case with an artificial damage is then considered for validating the approach. A good agreement between experimental and numerical values of the damage identification metric and derived probability of detection and probability of localization curves is observed.

[1]  P.D. Wilcox,et al.  A rapid signal processing technique to remove the effect of dispersion from guided wave signals , 2003, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[2]  Mark M Derriso,et al.  The probability of detection for structural health monitoring systems: Repeated measures data , 2015 .

[3]  John Linn,et al.  Establishing the Reliability of SHM Systems Through the Extrapolation of NDI Probability of Detection Principles , 2015 .

[4]  C. Annis,et al.  Comparing the Effectiveness of a90/95 Calculations , 2007 .

[5]  Philippe Micheau,et al.  Guided wave scattering by geometrical change or damage: Application to characterization of fatigue crack and machined notch , 2017, Ultrasonics.

[6]  R. Bruce Thompson A UNIFIED APPROACH TO THE MODEL‐ASSISTED DETERMINATION OF PROBABILITY OF DETECTION , 2008 .

[7]  Jeong-Beom Ihn,et al.  Detection and monitoring of hidden fatigue crack growth using a built-in piezoelectric sensor/actuator network: II. Validation using riveted joints and repair patches , 2004 .

[8]  V. Giurgiutiu,et al.  In situ 2-D piezoelectric wafer active sensors arrays for guided wave damage detection. , 2008, Ultrasonics.

[9]  Lin Ye,et al.  Guided Lamb waves for identification of damage in composite structures: A review , 2006 .

[10]  Laurent Maxit,et al.  Use of beamforming for detecting an acoustic source inside a cylindrical shell filled with a heavy fluid , 2015 .

[11]  Sang Jun Lee,et al.  Damage detection sensitivity characterization of acousto-ultrasound-based structural health monitoring techniques , 2016 .

[12]  T. Michaels,et al.  A methodology for estimating guided wave scattering patterns from sparse transducer array measurements , 2015, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[13]  Jeong-Beom Ihn,et al.  Pitch-catch Active Sensing Methods in Structural Health Monitoring for Aircraft Structures , 2008 .

[14]  Yu Wang,et al.  A time reversal focusing based impact imaging method and its evaluation on complex composite structures , 2011 .

[15]  Nicolò Speciale,et al.  A passive monitoring technique based on dispersion compensation to locate impacts in plate-like structures , 2011 .

[16]  Kuldeep Lonkar,et al.  On the Performance Quantification of Active Sensing SHM Systems Using Model-Assisted POD Methods , 2011 .

[17]  J. Michaels,et al.  Feature Extraction and Sensor Fusion for Ultrasonic Structural Health Monitoring Under Changing Environmental Conditions , 2009, IEEE Sensors Journal.

[18]  Jennifer E. Michaels,et al.  ULTRASONIC STRUCTURAL HEALTH MONITORING: A PROBABILITY OF DETECTION CASE STUDY , 2009 .

[19]  Eric B. Flynn,et al.  Multi-wave-mode, multi-frequency detectors for guided wave interrogation of plate structures , 2014 .

[20]  J. Michaels Detection, localization and characterization of damage in plates with an in situ array of spatially distributed ultrasonic sensors , 2008 .

[21]  John C. Aldrin,et al.  MODEL‐ASSISTED PROBABILISTIC RELIABILITY ASSESSMENT FOR STRUCTURAL HEALTH MONITORING SYSTEMS , 2010 .

[22]  Paul D. Wilcox,et al.  Maximum-likelihood estimation of damage location in guided-wave structural health monitoring , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[23]  Jan Drewes Achenbach,et al.  Structural Health Monitoring and Damage Prognosis in Fatigue , 2008 .

[24]  Patrice Masson,et al.  Comparison of model-based damage imaging techniques for transversely isotropic composites , 2017 .

[25]  Marco Giglio,et al.  Feasibility study of a multi-parameter probability of detection formulation for a Lamb waves–based structural health monitoring approach to light alloy aeronautical plates , 2017 .

[26]  Thomas Padois,et al.  Enhancement of time-domain acoustic imaging based on generalized cross-correlation and spatial weighting , 2016 .

[27]  Mikhail Guskov,et al.  Optimal Sensors Placement to Enhance Damage Detection in Composite Plates , 2014 .

[28]  Jennifer E. Michaels,et al.  Block-sparse reconstruction and imaging for lamb wave structural health monitoring , 2014, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[29]  Victor Giurgiutiu,et al.  Interaction of Lamb waves with rivet hole cracks from multiple directions , 2017 .

[30]  Laurence J. Jacobs,et al.  A Multi-Scale Structural Health Monitoring Approach for Damage Detection, Diagnosis and Prognosis in Aerospace Structures , 2012 .

[31]  Hoon Sohn,et al.  Lamb wave tuning curve calibration for surface-bonded piezoelectric transducers , 2009 .

[32]  NONPARAMETRIC POD ESTIMATION FOR HIT/MISS DATA: A GOODNESS OF FIT COMPARISON FOR PARAMETRIC MODELS , 2011 .

[33]  John C. Aldrin,et al.  Best practices for evaluating the capability of nondestructive evaluation (NDE) and structural health monitoring (SHM) techniques for damage characterization , 2016 .

[34]  V. Memmolo,et al.  Model assisted probability of detection for a guided waves based SHM technique , 2016, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[35]  Zahra Sharif Khodaei,et al.  A Multi-Level Decision Fusion Strategy for Condition Based Maintenance of Composite Structures , 2016, Materials.

[36]  Victor Giurgiutiu,et al.  Single Mode Tuning Effects on Lamb Wave Time Reversal with Piezoelectric Wafer Active Sensors for Structural Health Monitoring , 2007 .

[37]  N. A.N.,et al.  SCATTERING OF FLEXURAL WAVES ON THIN PLATES , 2022 .

[38]  M. Aliabadi,et al.  Assessment of delay-and-sum algorithms for damage detection in aluminium and composite plates , 2014 .

[39]  Gregory Jarmer,et al.  Probability of Detection Assessment of a Guided Wave Structural Health Monitoring System , 2015 .

[40]  Spilios D. Fassois,et al.  A functional model based statistical time series method for vibration based damage detection, localization, and magnitude estimation , 2013 .

[41]  Philippe Micheau,et al.  Dispersion-based imaging for structural health monitoring using sparse and compact arrays , 2011 .

[42]  Chun H. Wang,et al.  A synthetic time-reversal imaging method for structural health monitoring , 2004 .

[43]  M. H. Aliabadi,et al.  Optimal sensor positioning for impact localization in smart composite panels , 2013 .

[44]  Paul D. Wilcox,et al.  Enhanced detection through low-order stochastic modeling for guided-wave structural health monitoring , 2012 .

[45]  Shenfang Yuan,et al.  A quantitative multidamage monitoring method for large-scale complex composite , 2013 .

[46]  R. Sakia The Box-Cox transformation technique: a review , 1992 .

[47]  Carlos E. S. Cesnik,et al.  Finite-dimensional piezoelectric transducer modeling for guided wave based structural health monitoring , 2005 .

[48]  Patrice Masson,et al.  Correlation-based imaging technique for fatigue monitoring of riveted lap-joint structure , 2014 .

[49]  James S. Hall,et al.  Minimum variance ultrasonic imaging applied to an in situ sparse guided wave array , 2010, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[50]  F. Chang,et al.  Detection and monitoring of hidden fatigue crack growth using a built-in piezoelectric sensor/actuator network: I. Diagnostics , 2004 .

[51]  Jennifer E. Michaels,et al.  Multipath ultrasonic guided wave imaging in complex structures , 2015 .

[52]  Ross M. Levine,et al.  Model-based imaging of damage with Lamb waves via sparse reconstruction. , 2013, The Journal of the Acoustical Society of America.