A Priori Interface Reduction for Substructuring of Multistage Bladed Disks

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Authors

  • Lukas Schwerdt
  • Lars Panning-von Scheidt
  • Jörg Wallaschek
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Details

Original languageEnglish
Title of host publicationDynamic Substructures, Volume 4
Subtitle of host publicationProceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019
EditorsAndreas Linderholt, Matthew S. Allen, Randall L. Mayes, Daniel Rixen
Pages13-21
Number of pages9
Edition1.
ISBN (electronic)978-3-030-12184-6
Publication statusPublished - 15 Jun 2019
Event37th IMAC, A Conference and Exposition on Structural Dynamics, 2019 - Orlando, United States
Duration: 28 Jan 201931 Jan 2019

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (electronic)2191-5652

Abstract

When analyzing the dynamics of bladed disks in turbomachinery, most methods focus on a single stage at a time because of the challenges associated with multistage structures. Whereas the cyclic symmetry of individual bladed disks is commonly exploited to yield great savings of computational effort, multistage rotors lack this symmetry due to the differing number of blades in each stage. Substructuring methods can be used to overcome this problem but they still face challenges with non-conforming finite element meshes at the interface between stages. Some state of the art methods expect the nodes at the interface to be arranged in concentric rings and use a truncated Fourier series as basis for the displacement along each ring of nodes. In this paper, a reduction basis for the interface degrees of freedom between adjacent stages is proposed which uses polynomial basis functions in the radial direction in addition to a truncated Fourier series in the circumferential direction. This enables coupling the substructures of multiple stages with arbitrary meshes. Additionally, the resulting reduced order model (ROM) can be smaller while preserving accuracy. The proposed interface reduction is demonstrated in conjunction with a cyclic Craig-Bampton (CB) reduction of each stage. Different ROMs are compared to show the impact of the CB reduction as well as the interface reduction.

Keywords

    Component mode synthesis, Interface reduction, Mistuning, Model order reduction, Multistage

ASJC Scopus subject areas

Cite this

A Priori Interface Reduction for Substructuring of Multistage Bladed Disks. / Schwerdt, Lukas; Panning-von Scheidt, Lars ; Wallaschek, Jörg.
Dynamic Substructures, Volume 4: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. ed. / Andreas Linderholt; Matthew S. Allen; Randall L. Mayes; Daniel Rixen. 1. ed. 2019. p. 13-21 (Conference Proceedings of the Society for Experimental Mechanics Series).

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Schwerdt, L, Panning-von Scheidt, L & Wallaschek, J 2019, A Priori Interface Reduction for Substructuring of Multistage Bladed Disks. in A Linderholt, MS Allen, RL Mayes & D Rixen (eds), Dynamic Substructures, Volume 4: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. 1. edn, Conference Proceedings of the Society for Experimental Mechanics Series, pp. 13-21, 37th IMAC, A Conference and Exposition on Structural Dynamics, 2019, Orlando, United States, 28 Jan 2019. https://doi.org/10.1007/978-3-030-12184-6_2
Schwerdt, L., Panning-von Scheidt, L., & Wallaschek, J. (2019). A Priori Interface Reduction for Substructuring of Multistage Bladed Disks. In A. Linderholt, M. S. Allen, R. L. Mayes, & D. Rixen (Eds.), Dynamic Substructures, Volume 4: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019 (1. ed., pp. 13-21). (Conference Proceedings of the Society for Experimental Mechanics Series). https://doi.org/10.1007/978-3-030-12184-6_2
Schwerdt L, Panning-von Scheidt L, Wallaschek J. A Priori Interface Reduction for Substructuring of Multistage Bladed Disks. In Linderholt A, Allen MS, Mayes RL, Rixen D, editors, Dynamic Substructures, Volume 4: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. 1. ed. 2019. p. 13-21. (Conference Proceedings of the Society for Experimental Mechanics Series). doi: 10.1007/978-3-030-12184-6_2
Schwerdt, Lukas ; Panning-von Scheidt, Lars ; Wallaschek, Jörg. / A Priori Interface Reduction for Substructuring of Multistage Bladed Disks. Dynamic Substructures, Volume 4: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. editor / Andreas Linderholt ; Matthew S. Allen ; Randall L. Mayes ; Daniel Rixen. 1. ed. 2019. pp. 13-21 (Conference Proceedings of the Society for Experimental Mechanics Series).
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abstract = "When analyzing the dynamics of bladed disks in turbomachinery, most methods focus on a single stage at a time because of the challenges associated with multistage structures. Whereas the cyclic symmetry of individual bladed disks is commonly exploited to yield great savings of computational effort, multistage rotors lack this symmetry due to the differing number of blades in each stage. Substructuring methods can be used to overcome this problem but they still face challenges with non-conforming finite element meshes at the interface between stages. Some state of the art methods expect the nodes at the interface to be arranged in concentric rings and use a truncated Fourier series as basis for the displacement along each ring of nodes. In this paper, a reduction basis for the interface degrees of freedom between adjacent stages is proposed which uses polynomial basis functions in the radial direction in addition to a truncated Fourier series in the circumferential direction. This enables coupling the substructures of multiple stages with arbitrary meshes. Additionally, the resulting reduced order model (ROM) can be smaller while preserving accuracy. The proposed interface reduction is demonstrated in conjunction with a cyclic Craig-Bampton (CB) reduction of each stage. Different ROMs are compared to show the impact of the CB reduction as well as the interface reduction.",
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