Comparison of Two (Geometric) Algorithms for Auto OMA

Martin Juul; Peter Olsen; Ole Balling; Sandro Amador; Rune Brincker

doi:10.1007/978-3-319-74700-2_7

Comparison of Two (Geometric) Algorithms for Auto OMA

Martin Juul, Peter Olsen, Ole Balling, Sandro Amador, Rune Brincker

Aarhus University

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

Abstract

In this paper we compare two geometric algorithms for automatic Operational Modal Analysis(OMA). The compared algorithms are the Shortest Path Algorithm (SPA) that considers shortest paths in the set of poles and the Smallest Sphere Algorithm (SSA) that operates on the set of identified poles to find the set of smallest spheres, containing physical poles. Both algorithm are based on sliding filter stability diagrams recently introduced by Olsen et al. We show how the two algorithms identify system parameters of a simulated system, and illustrate the difference between the identified parameters. The two algorithms are compared and illustrated on simulated data. Different choices of distance measures are discussed and evaluated. It is illustrated how a simple distance measure outperforms traditional distance measures from other Auto OMA algorithms. Traditional measures are unable to discriminate between modes and noise.

Original language	English
Title of host publication	Topics in Modal Analysis & Testing, Volume 9 : Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
Editors	Michael Mains , Brandon J. Dilworth
Number of pages	4
Volume	9
Publisher	Springer
Publication date	2018
Pages	65-68
ISBN (Print)	978-3-319-74699-9
ISBN (Electronic)	978-3-319-74700-2
DOIs	https://doi.org/10.1007/978-3-319-74700-2_7
Publication status	Published - 2018
Event	36th International Modal Analysis Conference - Orlando, United States Duration: 12 Feb 2018 → 15 Feb 2018 Conference number: 36

Conference

Conference	36th International Modal Analysis Conference
Number	36
Country/Territory	United States
City	Orlando
Period	12/02/2018 → 15/02/2018

Series	Conference Proceedings of the Society for Experimental Mechanics Series
ISSN	2191-5644

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Juul, Martin ; Olsen, Peter ; Balling, Ole et al. / Comparison of Two (Geometric) Algorithms for Auto OMA. Topics in Modal Analysis & Testing, Volume 9: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. editor / Michael Mains ; Brandon J. Dilworth. Vol. 9 Springer, 2018. pp. 65-68 (Conference Proceedings of the Society for Experimental Mechanics Series).

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title = "Comparison of Two (Geometric) Algorithms for Auto OMA",

abstract = "In this paper we compare two geometric algorithms for automatic Operational Modal Analysis(OMA). The compared algorithms are the Shortest Path Algorithm (SPA) that considers shortest paths in the set of poles and the Smallest Sphere Algorithm (SSA) that operates on the set of identified poles to find the set of smallest spheres, containing physical poles. Both algorithm are based on sliding filter stability diagrams recently introduced by Olsen et al. We show how the two algorithms identify system parameters of a simulated system, and illustrate the difference between the identified parameters. The two algorithms are compared and illustrated on simulated data. Different choices of distance measures are discussed and evaluated. It is illustrated how a simple distance measure outperforms traditional distance measures from other Auto OMA algorithms. Traditional measures are unable to discriminate between modes and noise.",

author = "Martin Juul and Peter Olsen and Ole Balling and Sandro Amador and Rune Brincker",

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pages = "65--68",

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note = "36th International Modal Analysis Conference, IMAC XXXVI ; Conference date: 12-02-2018 Through 15-02-2018",

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Juul, M, Olsen, P, Balling, O, Amador, S & Brincker, R 2018, Comparison of Two (Geometric) Algorithms for Auto OMA. in MM & BJD (eds), Topics in Modal Analysis & Testing, Volume 9: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. vol. 9, Springer, Conference Proceedings of the Society for Experimental Mechanics Series, pp. 65-68, 36th International Modal Analysis Conference, Orlando, Florida, United States, 12/02/2018. https://doi.org/10.1007/978-3-319-74700-2_7

Comparison of Two (Geometric) Algorithms for Auto OMA. / Juul, Martin; Olsen, Peter; Balling, Ole et al.
Topics in Modal Analysis & Testing, Volume 9: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. ed. / Michael Mains; Brandon J. Dilworth. Vol. 9 Springer, 2018. p. 65-68 (Conference Proceedings of the Society for Experimental Mechanics Series).

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

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N2 - In this paper we compare two geometric algorithms for automatic Operational Modal Analysis(OMA). The compared algorithms are the Shortest Path Algorithm (SPA) that considers shortest paths in the set of poles and the Smallest Sphere Algorithm (SSA) that operates on the set of identified poles to find the set of smallest spheres, containing physical poles. Both algorithm are based on sliding filter stability diagrams recently introduced by Olsen et al. We show how the two algorithms identify system parameters of a simulated system, and illustrate the difference between the identified parameters. The two algorithms are compared and illustrated on simulated data. Different choices of distance measures are discussed and evaluated. It is illustrated how a simple distance measure outperforms traditional distance measures from other Auto OMA algorithms. Traditional measures are unable to discriminate between modes and noise.

AB - In this paper we compare two geometric algorithms for automatic Operational Modal Analysis(OMA). The compared algorithms are the Shortest Path Algorithm (SPA) that considers shortest paths in the set of poles and the Smallest Sphere Algorithm (SSA) that operates on the set of identified poles to find the set of smallest spheres, containing physical poles. Both algorithm are based on sliding filter stability diagrams recently introduced by Olsen et al. We show how the two algorithms identify system parameters of a simulated system, and illustrate the difference between the identified parameters. The two algorithms are compared and illustrated on simulated data. Different choices of distance measures are discussed and evaluated. It is illustrated how a simple distance measure outperforms traditional distance measures from other Auto OMA algorithms. Traditional measures are unable to discriminate between modes and noise.

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Juul M, Olsen P, Balling O, Amador S, Brincker R. Comparison of Two (Geometric) Algorithms for Auto OMA. In MM, BJD, editors, Topics in Modal Analysis & Testing, Volume 9: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. Vol. 9. Springer. 2018. p. 65-68. (Conference Proceedings of the Society for Experimental Mechanics Series). doi: 10.1007/978-3-319-74700-2_7

Comparison of Two (Geometric) Algorithms for Auto OMA

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