An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques
Title | An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques PDF eBook |
Author | Michele Lynn Joyner |
Publisher | |
Pages | 158 |
Release | 2001 |
Genre | |
ISBN |
Keywords: Reduced order proper orthogonal decomposition method, Nondestructive evaluation, Inverse problems.
An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques
Title | An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques PDF eBook |
Author | |
Publisher | |
Pages | |
Release | 2001 |
Genre | |
ISBN |
In the field of nondestructive evaluation, new and improved techniques are constantly being sought to facilitate the detection of hidden corrosion and flaws in structures such as airplanes and pipelines. In this dissertation, we explore the feasibility of detecting such damages by application of an eddy current based technique and reduced order modeling. We begin by developing a model for a specific eddy current method in which we make some simplifying assumptions reducing the three-dimensional problem to a two-dimensional problem. (We do this for proof-of-concept.) Theoretical results are then presented which establish the existence and uniqueness of solutions as well as continuous dependence of the solution on the parameters which represent the damage. We further discuss theoretical issues concerning the least squares parameter estimation problem used in identifying the geometry of the damage. To solve the identification problem, an optimization algorithm is employed which requires solving the forward problem numerous times. To implement these methods in a practical setting, the forward algorithm must be solved with extremely fast and accurate solution methods. Therefore in constructing these computational methods, we employ reduced order Proper Orthogonal Decomposition (POD) techniques which allows one to create a set of basis elements spanning a data set consisting of either numerical simulations or experimental data. We investigate two different approaches in forming the POD approximation, a POD/Galerkin technique and a POD/Interpolation technique. We examine the error in the approximation using one approach versus the other as well as present results of the parameter estimation problem for both techniques. Finally, results of the parameter estimation problem are given using both simulated data with relative noise added as well as experimental data obtained using a giant magnetoresistive (GMR) sensor. The experimental results are based on successfully using act.
Nondestructive Evaluation Using a Reduced Order Computational Methodology
Title | Nondestructive Evaluation Using a Reduced Order Computational Methodology PDF eBook |
Author | Michele L. Joyner |
Publisher | |
Pages | 24 |
Release | 2000 |
Genre | |
ISBN |
This paper uses eddy current based techniques and reduced order modeling to explore the feasibility of detecting a subsurface damage in structures such as air foils and pipelines. To identify the geometry of a damage, an optimization algorithm is employed which requires solving the forward problem numerous times. To implement these methods in a practical setting, the forward algorithm must be solved with extremely fast and accurate solution methods. Therefore, our computational methods are based on the reduced order Karhunen-Loeve or Proper Orthogonal Decomposition (POD) techniques. For proof-of-concept, we implement the methodology on a 2-D problem and find the methods to be efficient and robust even with data containing 10% relative noise. Furthermore, the methods are fast; our findings suggest we can reduce the computational time on average by a factor of 3000.
Electromagnetic Nondestructive Evaluation (VI)
Title | Electromagnetic Nondestructive Evaluation (VI) PDF eBook |
Author | Fumio Kojima |
Publisher | IOS Press |
Pages | 324 |
Release | 2002 |
Genre | Science |
ISBN | 9781586032456 |
This work is a collection of papers on electromagnetic nondestructive evaluation. It discusses developments in the growing field of electromagnetic nondestructive evaluation methods. Topics include evaluation of degradation mechanism in magnetic materials.
Eddy-Current Nondestructive Evaluation
Title | Eddy-Current Nondestructive Evaluation PDF eBook |
Author | Nicola Bowler |
Publisher | Springer |
Pages | 217 |
Release | 2019-08-01 |
Genre | Technology & Engineering |
ISBN | 1493996290 |
This book covers the topic of eddy current nondestructive evaluation, the most commonly practiced method of electromagnetic nondestructive evaluation (NDE). It emphasizes a clear presentation of the concepts, laws and relationships of electricity and magnetism upon which eddy current inspection methods are founded. The chapters include material on signals obtained using many common eddy current probe types in various testing environments. Introductory mathematical and physical concepts in electromagnetism are introduced in sufficient detail and summarized in the Appendices for easy reference. Worked examples and simple calculations that can be done by hand are distributed throughout the text. These and more complex end-of-chapter examples and assignments are designed to impart a working knowledge of the connection between electromagnetic theory and the practical measurements described. The book is intended to equip readers with sufficient knowledge to optimize routine eddy current NDE inspections, or design new ones. It is useful for graduate engineers and scientists seeking a deeper understanding of electromagnetic methods of NDE than can be found in a guide for practitioners.
Electromagnetic Nondestructive Evaluation (IV)
Title | Electromagnetic Nondestructive Evaluation (IV) PDF eBook |
Author | Satish S. Udpa |
Publisher | IOS Press |
Pages | 276 |
Release | 2000 |
Genre | Science |
ISBN | 9781586030230 |
A description of the state of the art in electromagnetic nondestructive evaluation (NDE) techniques. Topics covered range from magnetostatic to eddy current and microwave NDE methods. Advances in materials characterization, forward/simulation models, sensor design and inverse methodologies are discussed. The book also includes contributions on benchmark problems and solutions.
Electromagnetic Nondestructive Evaluation (XII)
Title | Electromagnetic Nondestructive Evaluation (XII) PDF eBook |
Author | Young-Kil Shin |
Publisher | IOS Press |
Pages | 444 |
Release | 2009 |
Genre | Science |
ISBN | 160750023X |
"The 13th International Workshop on Electromagnetic Nondestructive Evaluation (ENDE) was held at the Seoul Education and Cultural Center, Seoul, Korea from June 10 through 12, 2008."--P. v.