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.
Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov-Schur Iterations / Mangoni, D; Tasora, A; Peng, C. - In: MACHINES. - ISSN 2075-1702. - 11:2(2023), p. 218. [10.3390/machines11020218]
Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov-Schur Iterations
Mangoni, D;Tasora, A;Peng, C
2023-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.