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

Kathrin Smetana

doi:10.1007/978-3-030-21013-7_1

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 proceeding › Chapter › Academic › peer-review

1 Citation (Scopus)

62 Downloads (Pure)

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 language	English
Title of host publication	IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
Subtitle of host publication	MORCOS 2018
Editors	J. Fehr, B. Haasdonk
Place of Publication	Cham
Publisher	Springer
Pages	1-24
Number of pages	24
ISBN (Electronic)	978-3-030-21013-7
ISBN (Print)	978-3-030-21012-0
DOIs	https://doi.org/10.1007/978-3-030-21013-7_1
Publication status	Published - 20 Jul 2019
Event	IUTAM Symposium on Model Order Reduction of Coupled Systems - University of Stuttgart, Stuttgart, Germany Duration: 22 May 2018 → 25 May 2018 http://www.itm.uni-stuttgart.de/iutam2018/

Publication series

Name	IUTAM Bookseries
Publisher	Springer
Volume	36
ISSN (Print)	1875-3507

Conference

Conference	IUTAM Symposium on Model Order Reduction of Coupled Systems
Abbreviated title	MORCOS 2018
Country/Territory	Germany
City	Stuttgart
Period	22/05/18 → 25/05/18
Internet address	http://www.itm.uni-stuttgart.de/iutam2018/

Keywords

(Component-based) static condensation
Component mode synthesis
Interface reduction
Model order reduction
Substructuring
22/3 OA procedure

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10.1007/978-3-030-21013-7_1

Smetana2020_Chapter_StaticCondensationOptimalPortIFinal published version, 890 KBLicence: Taverne

Cite this

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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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note = " IUTAM Symposium on Model Order Reduction of Coupled Systems, MORCOS 2018 ; Conference date: 22-05-2018 Through 25-05-2018",

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Smetana, K 2019, 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, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, 22/05/18. 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, 2019. p. 1-24 (IUTAM Bookseries; Vol. 36).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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N2 - 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

KW - 22/3 OA procedure

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

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