Document - A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA

2014

Journal article Open Access

A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA

Porcelli M., Binante V., Girardi M., Padovani C., Pasquinelli G.

Multipoint constraints Finite-element software Computational Mathematics Algebra and Number Theory Eigenvalues Eigenvalue Modal analysi

The paper presents an efficient and reliable implementation of numerical methods for constrained generalized eigenvalue problems, specialized for the modal analysis of linear elastic structures in a finite-element setting. The implementation, which takes into account the sparsity of the stiffness and mass matrices and the features of master-slave constraints, is based on open-source packages embedded in the finite-element code NOSA-ITACA. Numerical tests on historical building are performed, with the aims of calculating their vibration frequencies and mode shape vectors, comparing them to the results of a general purpose commercial code and assessing the accuracy of the tool developed.

Source: Calcolo (Testo stamp.) (2014). doi:10.1007/s10092-014-0112-1

Publisher: Springer Verlag Italia, Roma , Italia

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@article{oai:it.cnr:prodotti:280560,
	title = {A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA},
	author = {Porcelli M. and Binante V. and Girardi M. and Padovani C. and Pasquinelli G.},
	publisher = {Springer Verlag Italia, Roma , Italia},
	doi = {10.1007/s10092-014-0112-1},
	journal = {Calcolo (Testo stamp.)},
	year = {2014}
}