Overview of Mathematical Modeling in Nondestructive Evaluation (NDE)

Aldrin, John C.

doi:10.21236/ada409520

Cited by 4 publications

(2 citation statements)

References 97 publications

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“…The U.S. Air Force is also developing a Systems Engineering approach for designing large, complex health monitoring and prognostic systems using material and structural degradation models, computer models of NDE systems and components, large-scale optimization techniques, and systems engineering principles. NDE system modeling and engineering research is aimed at addressing these fundamental issues: Dynamical systems modeling of essential physical phenomena The number, type, and positioning of sensors and actuators Design of excitation signals and signal processing of sensor measurements Robustness (tolerance to modeling and operator errors) Assessing sensor and actuator requirements (performance specifications) at the component/system level prior to technology investment U. S. Air Force Research on Computational Methods for NDE [9][10][11][12][13] The Computational Methods for NDE area encompasses two broad areas: (1) signal processing applied to individual NDE modalities and (2) modeling and optimization techniques. Analysis, as applied to individual NDE techniques, covers any signal processing for a specific modality; this can be noise reduction, contrast improvements, measurement enhancements, feature or information extraction.…”

Section: Complementary System Modeling and Engineering Researchmentioning

confidence: 99%

Micro- and nano-NDE systems for aircraft: great things in small packages

et al. 2003

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Recent advancements in small, microscopic NDE sensor technologies will revolutionize how aircraft maintenance is done, and will significantly improve the reliability and airworthiness of current and future aircraft systems. A variety of micro/nano systems and concepts are being developed that will enable whole new capabilities for detecting and tracking structural integrity damage. For aging aircraft systems, the impact of micro-NDE sensor technologies will be felt immediately, with dramatic reductions in labor for maintenance, and extended useable life of critical components being two of the primary benefits. For the fleet management of future aircraft systems, a comprehensive evaluation and tracking of vehicle health throughout its entire life cycle will be needed. Indeed, micro/nano NDE systems will be instrumental in realizing this futuristic vision. Several major challenges will need to be addressed, however, before micro-and nano-NDE systems can effectively be implemented, and this will require interdisciplinary research approaches, and a systematic engineering integration of the new technologies into real systems. Future research will need to emphasize systems engineering approaches for designing materials and structures with in-situ inspection and prognostic capabilities. Recent advances in 1) embedded / add-on micro-sensors, 2) computer modeling of nondestructive evaluation responses, and 3) wireless communications are important steps toward this goal, and will ultimately provide previously unimagined opportunities for realizing whole new integrated vehicle health monitoring capabilities. The future use of micro/nano NDE technologies as vehicle health monitoring tools will have profound implications, and will provide a revolutionary way of doing NDE in the near and distant future.

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Section: Complementary System Modeling and Engineering Researchmentioning

confidence: 99%

Micro- and nano-NDE systems for aircraft: great things in small packages

et al. 2003

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“…In Section 4.0 an extensive discussion is presented of the historical development of computational NDE and POD modeling and summaries are then provided of recent efforts in this area. An extensive bibliography of NDE mathematical modeling can be found in a recent NTIAC publication, "Overview of Mathematical Modeling in Nondestructive Evaluation" (Aldrin 2001). …”

Section: Scope Of Technology Assessmentmentioning

confidence: 99%

Probability of Detection (POD) for Nondestructive Evaluation (NDE)

Matzkanin¹,

Yolken²

2001

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Efficient Model-Assisted Probability of Detection and Sensitivity Analysis for Ultrasonic Testing Simulations Using Stochastic Metamodeling

Leifsson

Meeker

Gurrala

et al. 2019

Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems

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Model-assisted probability of detection (MAPOD) and sensitivity analysis (SA) are important for quantifying the inspection capability of nondestructive testing (NDT) systems. To improve the computational efficiency, this work proposes the use of polynomial chaos expansions (PCEs), integrated with least-angle regression (LARS), a basis-adaptive technique, and a hyperbolic truncation scheme, in lieu of the direct use of the physics-based measurement model in the MAPOD and SA calculations. The proposed method is demonstrated on three ultrasonic testing cases and compared with Monte Carlo sampling (MCS) of the physics model, MCS-based kriging, and the ordinary least-squares (OLS)-based PCE method. The results show that the probability of detection (POD) metrics of interests can be controlled within 1% accuracy relative to using the physics model directly. Comparison with metamodels shows that the LARS-based PCE method can provide up to an order of magnitude improvement in the computational efficiency.

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Overview of Mathematical Modeling in Nondestructive Evaluation (NDE)

Cited by 4 publications

References 97 publications

Micro- and nano-NDE systems for aircraft: great things in small packages

Micro- and nano-NDE systems for aircraft: great things in small packages

Probability of Detection (POD) for Nondestructive Evaluation (NDE)

Efficient Model-Assisted Probability of Detection and Sensitivity Analysis for Ultrasonic Testing Simulations Using Stochastic Metamodeling

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