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Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov-Schur Iterations
Version 1
: Received: 16 December 2022 / Approved: 19 December 2022 / Online: 19 December 2022 (10:01:05 CET)
A peer-reviewed article of this Preprint also exists.
Mangoni, D.; Tasora, A.; Peng, C. Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations. Machines 2023, 11, 218. Mangoni, D.; Tasora, A.; Peng, C. Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations. Machines 2023, 11, 218.
Abstract
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.
Keywords
modal analysis; eigenvalues; multibody; damped modes; sparse eigenproblem
Subject
Engineering, Mechanical Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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