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

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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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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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