Details
Originalsprache | Englisch |
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Titel des Sammelwerks | Nonlinear Structures and Systems - Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024 |
Herausgeber/-innen | Matthew R. W. Brake, Ludovic Renson, Robert J. Kuether, Paolo Tiso |
Herausgeber (Verlag) | Springer |
Seiten | 75-78 |
Seitenumfang | 4 |
ISBN (elektronisch) | 978-3-031-69409-7 |
ISBN (Print) | 9783031694080 |
Publikationsstatus | Veröffentlicht - 8 Aug. 2024 |
Veranstaltung | 42nd IMAC, A Conference and Exposition on Structural Dynamics, IMAC 2024 - Orlando, USA / Vereinigte Staaten Dauer: 29 Jan. 2024 → 1 Feb. 2024 |
Publikationsreihe
Name | Conference Proceedings of the Society for Experimental Mechanics Series |
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ISSN (Print) | 2191-5644 |
ISSN (elektronisch) | 2191-5652 |
Abstract
Accurately analyzing systems with frictional contact interfaces poses computational challenges due to the large number of degrees of freedom involved. Although component mode synthesis can effectively reduce internal degrees of freedom, it does not apply to nonlinearly coupled degrees of freedom required for evaluating the nonlinear force law. Consequently, when using methods like the harmonic balance method, a considerable computational effort is needed to compute a large number of variables, specifically the Fourier coefficients. To tackle this issue, we present several interface reduction techniques suitable for implementation within the framework of the harmonic balance method. These reduction techniques can be categorized as either polynomial-based or mode-based approaches. By employing these methods, our objective is to decrease the computational effort associated with calculating numerous Fourier coefficients while retaining sufficient accuracy. To assess the effectiveness of the proposed reduction methods, we compare them in terms of computational efficiency and the accuracy of computed results. We utilize example systems to evaluate the performance of these reduction techniques. Our findings demonstrate that the interface reduction methods significantly enhance computational efficiency by reducing the number of variables. By comparing the solutions with reduced interfaces degrees of freedom to those with full interfaces, we provide insights into the trade-offs between accuracy and computational efficiency.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Allgemeiner Maschinenbau
- Ingenieurwesen (insg.)
- Numerische Mechanik
- Ingenieurwesen (insg.)
- Maschinenbau
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Nonlinear Structures and Systems - Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024. Hrsg. / Matthew R. W. Brake; Ludovic Renson; Robert J. Kuether; Paolo Tiso. Springer, 2024. S. 75-78 (Conference Proceedings of the Society for Experimental Mechanics Series).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - Evaluation of Interface Reduction Techniques for Systems with Frictional Contacts Within the Scope of the Harmonic Balance Method
AU - Kubatschek, Tido
AU - Förster, Alwin
N1 - Publisher Copyright: © The Society for Experimental Mechanics, Inc. 2024.
PY - 2024/8/8
Y1 - 2024/8/8
N2 - Accurately analyzing systems with frictional contact interfaces poses computational challenges due to the large number of degrees of freedom involved. Although component mode synthesis can effectively reduce internal degrees of freedom, it does not apply to nonlinearly coupled degrees of freedom required for evaluating the nonlinear force law. Consequently, when using methods like the harmonic balance method, a considerable computational effort is needed to compute a large number of variables, specifically the Fourier coefficients. To tackle this issue, we present several interface reduction techniques suitable for implementation within the framework of the harmonic balance method. These reduction techniques can be categorized as either polynomial-based or mode-based approaches. By employing these methods, our objective is to decrease the computational effort associated with calculating numerous Fourier coefficients while retaining sufficient accuracy. To assess the effectiveness of the proposed reduction methods, we compare them in terms of computational efficiency and the accuracy of computed results. We utilize example systems to evaluate the performance of these reduction techniques. Our findings demonstrate that the interface reduction methods significantly enhance computational efficiency by reducing the number of variables. By comparing the solutions with reduced interfaces degrees of freedom to those with full interfaces, we provide insights into the trade-offs between accuracy and computational efficiency.
AB - Accurately analyzing systems with frictional contact interfaces poses computational challenges due to the large number of degrees of freedom involved. Although component mode synthesis can effectively reduce internal degrees of freedom, it does not apply to nonlinearly coupled degrees of freedom required for evaluating the nonlinear force law. Consequently, when using methods like the harmonic balance method, a considerable computational effort is needed to compute a large number of variables, specifically the Fourier coefficients. To tackle this issue, we present several interface reduction techniques suitable for implementation within the framework of the harmonic balance method. These reduction techniques can be categorized as either polynomial-based or mode-based approaches. By employing these methods, our objective is to decrease the computational effort associated with calculating numerous Fourier coefficients while retaining sufficient accuracy. To assess the effectiveness of the proposed reduction methods, we compare them in terms of computational efficiency and the accuracy of computed results. We utilize example systems to evaluate the performance of these reduction techniques. Our findings demonstrate that the interface reduction methods significantly enhance computational efficiency by reducing the number of variables. By comparing the solutions with reduced interfaces degrees of freedom to those with full interfaces, we provide insights into the trade-offs between accuracy and computational efficiency.
KW - Contact interface
KW - Friction
KW - Interface reduction
UR - http://www.scopus.com/inward/record.url?scp=85207833640&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-69409-7_13
DO - 10.1007/978-3-031-69409-7_13
M3 - Conference contribution
AN - SCOPUS:85207833640
SN - 9783031694080
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 75
EP - 78
BT - Nonlinear Structures and Systems - Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024
A2 - Brake, Matthew R. W.
A2 - Renson, Ludovic
A2 - Kuether, Robert J.
A2 - Tiso, Paolo
PB - Springer
T2 - 42nd IMAC, A Conference and Exposition on Structural Dynamics, IMAC 2024
Y2 - 29 January 2024 through 1 February 2024
ER -