Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations
In this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes (free–free mechanisms), arbitrary algebraic con...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Machines |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1702/11/2/218 |
| _version_ | 1797619772374908928 |
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| author | Dario Mangoni Alessandro Tasora Chao Peng |
| author_facet | Dario Mangoni Alessandro Tasora Chao Peng |
| author_sort | Dario Mangoni |
| collection | DOAJ |
| description | In this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes (free–free mechanisms), arbitrary algebraic constraints, and must be able to exploit the sparsity pattern of Jacobians of large systems. We propose a custom implementation of the Krylov–Schur method, proving its robustness and its accuracy in a variety of different complex test cases. |
| first_indexed | 2024-03-11T08:31:35Z |
| format | Article |
| id | doaj.art-80e6ecfdfcf24be4ad413da01aae69d0 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-11T08:31:35Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-80e6ecfdfcf24be4ad413da01aae69d02023-11-16T21:45:31ZengMDPI AGMachines2075-17022023-02-0111221810.3390/machines11020218Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur IterationsDario Mangoni0Alessandro Tasora1Chao Peng2Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124 Parma, ItalyDepartment of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124 Parma, ItalyDepartment of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124 Parma, ItalyIn this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes (free–free mechanisms), arbitrary algebraic constraints, and must be able to exploit the sparsity pattern of Jacobians of large systems. We propose a custom implementation of the Krylov–Schur method, proving its robustness and its accuracy in a variety of different complex test cases.https://www.mdpi.com/2075-1702/11/2/218modal analysiseigenvaluesmultibodydamped modessparse eigenproblem |
| spellingShingle | Dario Mangoni Alessandro Tasora Chao Peng Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations Machines modal analysis eigenvalues multibody damped modes sparse eigenproblem |
| title | Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations |
| title_full | Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations |
| title_fullStr | Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations |
| title_full_unstemmed | Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations |
| title_short | Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations |
| title_sort | complex eigenvalue analysis of multibody problems via sparsity preserving krylov schur iterations |
| topic | modal analysis eigenvalues multibody damped modes sparse eigenproblem |
| url | https://www.mdpi.com/2075-1702/11/2/218 |
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