Static Condensation Optimal Port/Interface Reduction and Error Estimation for Structural Health Monitoring

Kathrin Smetana*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

    Abstract

    Having the application in structural health monitoring in mind, we propose reduced port spaces that exhibit an exponential convergence for static condensation procedures on structures with changing geometries for instance induced by newly detected defects. Those reduced port spaces generalize the port spaces introduced in [K. Smetana and A.T. Patera, SIAM J. Sci. Comput., 2016] to geometry changes and are optimal in the sense that they minimize the approximation error among all port spaces of the same dimension. Moreover, we show numerically that we can reuse port spaces that are constructed on a certain geometry also for the static condensation approximation on a significantly different geometry, making the optimal port spaces well suited for use in structural health monitoring.

    Original languageEnglish
    Title of host publicationIUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
    Subtitle of host publicationMORCOS 2018
    EditorsJ. Fehr, B. Haasdonk
    Place of PublicationCham
    PublisherSpringer
    Pages1-24
    Number of pages24
    ISBN (Electronic)978-3-030-21013-7
    ISBN (Print)978-3-030-21012-0
    DOIs
    Publication statusPublished - 1 Jan 2020

    Publication series

    NameIUTAM Bookseries
    PublisherSpringer
    Volume36
    ISSN (Print)1875-3507

    Fingerprint

    structural health monitoring
    Structural health monitoring
    Error analysis
    Interfaces (computer)
    Condensation
    condensation
    Geometry
    geometry
    reuse
    Health
    approximation
    Defects
    health
    defects

    Keywords

    • (Component-based) static condensation
    • Component mode synthesis
    • Interface reduction
    • Model order reduction
    • Substructuring

    Cite this

    Smetana, K. (2020). Static Condensation Optimal Port/Interface Reduction and Error Estimation for Structural Health Monitoring. In J. Fehr, & B. Haasdonk (Eds.), IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018: MORCOS 2018 (pp. 1-24). (IUTAM Bookseries; Vol. 36). Cham: Springer. https://doi.org/10.1007/978-3-030-21013-7_1
    Smetana, Kathrin. / Static Condensation Optimal Port/Interface Reduction and Error Estimation for Structural Health Monitoring. IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018: MORCOS 2018. editor / J. Fehr ; B. Haasdonk. Cham : Springer, 2020. pp. 1-24 (IUTAM Bookseries).
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    abstract = "Having the application in structural health monitoring in mind, we propose reduced port spaces that exhibit an exponential convergence for static condensation procedures on structures with changing geometries for instance induced by newly detected defects. Those reduced port spaces generalize the port spaces introduced in [K. Smetana and A.T. Patera, SIAM J. Sci. Comput., 2016] to geometry changes and are optimal in the sense that they minimize the approximation error among all port spaces of the same dimension. Moreover, we show numerically that we can reuse port spaces that are constructed on a certain geometry also for the static condensation approximation on a significantly different geometry, making the optimal port spaces well suited for use in structural health monitoring.",
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    Smetana, K 2020, Static Condensation Optimal Port/Interface Reduction and Error Estimation for Structural Health Monitoring. in J Fehr & B Haasdonk (eds), IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018: MORCOS 2018. IUTAM Bookseries, vol. 36, Springer, Cham, pp. 1-24. https://doi.org/10.1007/978-3-030-21013-7_1

    Static Condensation Optimal Port/Interface Reduction and Error Estimation for Structural Health Monitoring. / Smetana, Kathrin.

    IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018: MORCOS 2018. ed. / J. Fehr; B. Haasdonk. Cham : Springer, 2020. p. 1-24 (IUTAM Bookseries; Vol. 36).

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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    AB - Having the application in structural health monitoring in mind, we propose reduced port spaces that exhibit an exponential convergence for static condensation procedures on structures with changing geometries for instance induced by newly detected defects. Those reduced port spaces generalize the port spaces introduced in [K. Smetana and A.T. Patera, SIAM J. Sci. Comput., 2016] to geometry changes and are optimal in the sense that they minimize the approximation error among all port spaces of the same dimension. Moreover, we show numerically that we can reuse port spaces that are constructed on a certain geometry also for the static condensation approximation on a significantly different geometry, making the optimal port spaces well suited for use in structural health monitoring.

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    KW - Component mode synthesis

    KW - Interface reduction

    KW - Model order reduction

    KW - Substructuring

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    Smetana K. Static Condensation Optimal Port/Interface Reduction and Error Estimation for Structural Health Monitoring. In Fehr J, Haasdonk B, editors, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018: MORCOS 2018. Cham: Springer. 2020. p. 1-24. (IUTAM Bookseries). https://doi.org/10.1007/978-3-030-21013-7_1