A fully adaptive rational global Arnoldi method for the model-order reduction of second-order MIMO systems with proportional damping

Thomas Bonin, Heike Faßbender, Andreas Soppa and Michael Zaeh

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 122, issue C, 1-19

Abstract: The model order reduction of second-order dynamical multi-input and multi-output (MIMO) systems with proportional damping arising in the numerical simulation of mechanical structures is discussed. Based on finite element modelling the systems describing the mechanical structures are large and sparse, either undamped or proportionally damped. This work concentrates on a new model reduction algorithm for such second order MIMO systems which automatically generates a reduced system approximating the transfer function in the lower range of frequencies. The method is based on the rational global Arnoldi method. It determines the expansion points iteratively. The reduced order and the number of moments matched per expansion point are determined adaptively using a heuristic based on some error estimation. Numerical examples comparing our results to modal reduction and reduction via the rational block Arnoldi method are presented.

Keywords: Model order reduction; Simulation; Krylov subspace; Global Arnoldi algorithm; Moment matching (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:122:y:2016:i:c:p:1-19

DOI: 10.1016/j.matcom.2015.08.017

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