An Optimization Technique for Inverse Crack Detection
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| Titel: | An Optimization Technique for Inverse Crack Detection |
|---|---|
| Autoren: | Wirdelius, Håkan, 1963 |
| Quelle: | Journal of Modern Physics. 5(13):1202-1222 |
| Schlagwörter: | Inverse Problem, Quasi-Newton Algorithm, Ultrasonic NDT |
| Beschreibung: | Any attempts to apply techniques that are based on indirect measurements of parameters that are believed to correlate to any material properties (or state) in an in-line situation must by necessity identify a mathematical model of this relationship. The most conventional approach is to use some empirically based model. If the analysis instead is based on an analytical model of a physical explanation, this trainee period can be minimized and the system is more dynamic and less sensitive to changes within the chain of production. A numerical solution to the inverse problem of ultrasonic crack detection is in this case investigated. This solution is achieved by applying optimization techniques to a realistic model of the ultrasonic defect detection situation. This model includes a general model of an ultrasonic contact probe working as transmitter and/or receiver and its interaction with the defect. The inverse problem is reduced to minimization of a nonlinear least squares problem and is performed with a quasi-Newton algorithm consisting of a locally convergent SVD-Newton method combined with a backtracking line search algorithm. The set of synthetic data the model is fitted with are generated both by numerical integration and with the two-dimensional stationary-phase method while the forward solver in the optimization procedure is based on the latter. In both these cases, the convergence, in terms of numbers of iterations, is sufficient when the initial guess is reasonably Close. |
| Dateibeschreibung: | electronic |
| Zugangs-URL: | https://research.chalmers.se/publication/200783 http://publications.lib.chalmers.se/records/fulltext/200783/local_200783.pdf |
| Datenbank: | SwePub |
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| Items | – Name: Title Label: Title Group: Ti Data: An Optimization Technique for Inverse Crack Detection – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wirdelius%2C+Håkan%22">Wirdelius, Håkan</searchLink>, 1963 – Name: TitleSource Label: Source Group: Src Data: <i>Journal of Modern Physics</i>. 5(13):1202-1222 – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Inverse+Problem%22">Inverse Problem</searchLink><br /><searchLink fieldCode="DE" term="%22Quasi-Newton+Algorithm%22">Quasi-Newton Algorithm</searchLink><br /><searchLink fieldCode="DE" term="%22Ultrasonic+NDT%22">Ultrasonic NDT</searchLink> – Name: Abstract Label: Description Group: Ab Data: Any attempts to apply techniques that are based on indirect measurements of parameters that are believed to correlate to any material properties (or state) in an in-line situation must by necessity identify a mathematical model of this relationship. The most conventional approach is to use some empirically based model. If the analysis instead is based on an analytical model of a physical explanation, this trainee period can be minimized and the system is more dynamic and less sensitive to changes within the chain of production. A numerical solution to the inverse problem of ultrasonic crack detection is in this case investigated. This solution is achieved by applying optimization techniques to a realistic model of the ultrasonic defect detection situation. This model includes a general model of an ultrasonic contact probe working as transmitter and/or receiver and its interaction with the defect. The inverse problem is reduced to minimization of a nonlinear least squares problem and is performed with a quasi-Newton algorithm consisting of a locally convergent SVD-Newton method combined with a backtracking line search algorithm. The set of synthetic data the model is fitted with are generated both by numerical integration and with the two-dimensional stationary-phase method while the forward solver in the optimization procedure is based on the latter. In both these cases, the convergence, in terms of numbers of iterations, is sufficient when the initial guess is reasonably Close. – Name: Format Label: File Description Group: SrcInfo Data: electronic – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/200783" linkWindow="_blank">https://research.chalmers.se/publication/200783</link><br /><link linkTarget="URL" linkTerm="http://publications.lib.chalmers.se/records/fulltext/200783/local_200783.pdf" linkWindow="_blank">http://publications.lib.chalmers.se/records/fulltext/200783/local_200783.pdf</link> |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.4236/jmp.2014.513121 Languages: – Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 1202 Subjects: – SubjectFull: Inverse Problem Type: general – SubjectFull: Quasi-Newton Algorithm Type: general – SubjectFull: Ultrasonic NDT Type: general Titles: – TitleFull: An Optimization Technique for Inverse Crack Detection Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wirdelius, Håkan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 2153120X – Type: issn-locals Value: SWEPUB_FREE – Type: issn-locals Value: CTH_SWEPUB Numbering: – Type: volume Value: 5 – Type: issue Value: 13 Titles: – TitleFull: Journal of Modern Physics Type: main |
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