On Gramian-based techniques for minimal realization of large-scale mechanical systems
S Rahrovani, MK Vakilzadeh… - Topics in Modal Analysis …, 2014 - Springer
Topics in Modal Analysis, Volume 7: Proceedings of the 31st IMAC, A Conference …, 2014•Springer
Abstract In this paper, a review of Gramian-based minimal realization algorithms is
presented, several comments regarding their properties are given and the ill-condition and
efficiency that arise in balancing of large-scale realizations is being addressed. A new
algorithm to treat non-minimal realization of very large second-order systems with dense
clusters of close eigenvalues is proposed. The method benefits the effectiveness of
balancing techniques in treating of non-minimal realizations in combination with the …
presented, several comments regarding their properties are given and the ill-condition and
efficiency that arise in balancing of large-scale realizations is being addressed. A new
algorithm to treat non-minimal realization of very large second-order systems with dense
clusters of close eigenvalues is proposed. The method benefits the effectiveness of
balancing techniques in treating of non-minimal realizations in combination with the …
Abstract
Abstract In this paper, a review of Gramian-based minimal realization algorithms is presented, several comments regarding their properties are given and the ill-condition and efficiency that arise in balancing of large-scale realizations is being addressed. A new algorithm to treat non-minimal realization of very large second-order systems with dense clusters of close eigenvalues is proposed. The method benefits the effectiveness of balancing techniques in treating of non-minimal realizations in combination with the computational efficiency of modal techniques to treat large-scale problems.
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