A hybrid data-driven model order reduction strategy for flexible multibody systems considering impact and friction
•A novel hybrid model order reduction method is proposed for contact flexible multibody system.•A proper symplectic decomposition strategy is proposed for flexible multibody system.•The generalization ability of reduced-order model is studied. The numerical simulation of flexible multibody systems (...
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| Vydáno v: | Mechanism and machine theory Ročník 169; s. 104649 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.03.2022
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| ISSN: | 0094-114X |
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| Abstract | •A novel hybrid model order reduction method is proposed for contact flexible multibody system.•A proper symplectic decomposition strategy is proposed for flexible multibody system.•The generalization ability of reduced-order model is studied.
The numerical simulation of flexible multibody systems (FMBSs) with contact is important. Meanwhile, the contact problem is always a key and difficult point for FMBSs; and when impact and friction affect FMBSs, the computational efficiency will dramatically decline. In this work, the nonsmooth contact method (NSCM) for FMBSs is briefly introduced. Moreover, in order to save the computational costs of a contact FMBS, a novel hybrid model order reduction (MOR) strategy based on the idea of data-driven method is proposed. For the hybrid MOR strategy, the reduced-order models (ROMs) based on the NSCM in smooth force part and nonsmooth force part are derived using proper symplectic decomposition and proper orthogonal decomposition, respectively. In addition, in order to adapt the ROMs to parameter variation, the parameter interpolation method on the tangent space of Grassmann manifold is studied. Finally, several numerical examples are tested using the proposed methodology, the results show that compared with the original model, the ROM can save 65.89% of the computing time, and the root-mean-square error between the ROM and original model can reach the order of 10−12. |
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| AbstractList | •A novel hybrid model order reduction method is proposed for contact flexible multibody system.•A proper symplectic decomposition strategy is proposed for flexible multibody system.•The generalization ability of reduced-order model is studied.
The numerical simulation of flexible multibody systems (FMBSs) with contact is important. Meanwhile, the contact problem is always a key and difficult point for FMBSs; and when impact and friction affect FMBSs, the computational efficiency will dramatically decline. In this work, the nonsmooth contact method (NSCM) for FMBSs is briefly introduced. Moreover, in order to save the computational costs of a contact FMBS, a novel hybrid model order reduction (MOR) strategy based on the idea of data-driven method is proposed. For the hybrid MOR strategy, the reduced-order models (ROMs) based on the NSCM in smooth force part and nonsmooth force part are derived using proper symplectic decomposition and proper orthogonal decomposition, respectively. In addition, in order to adapt the ROMs to parameter variation, the parameter interpolation method on the tangent space of Grassmann manifold is studied. Finally, several numerical examples are tested using the proposed methodology, the results show that compared with the original model, the ROM can save 65.89% of the computing time, and the root-mean-square error between the ROM and original model can reach the order of 10−12. |
| ArticleNumber | 104649 |
| Author | Peng, Haijun Kan, Ziyun Song, Ningning |
| Author_xml | – sequence: 1 givenname: Ningning surname: Song fullname: Song, Ningning – sequence: 2 givenname: Haijun surname: Peng fullname: Peng, Haijun email: hjpeng@dlut.edu.cn – sequence: 3 givenname: Ziyun surname: Kan fullname: Kan, Ziyun |
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| Keywords | Flexible multibody systems Nonsmooth contact method Parameter interpolation Impact and friction Hybrid model order reduction Data-driven method |
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| SubjectTerms | Data-driven method Flexible multibody systems Hybrid model order reduction Impact and friction Nonsmooth contact method Parameter interpolation |
| Title | A hybrid data-driven model order reduction strategy for flexible multibody systems considering impact and friction |
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