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Media type:
Conference Proceedings;
E-Article
Title:
Novel Model Reduction Techniques for Control of Machine Tools
Contributor:
Benner, Peter
[Author];
Bonin, Thomas
[Author];
Faßbender, Heike
[Author];
Saak, Jens
[Author];
Soppa, Andreas
[Author];
Zaeh, Michael
[Author]
Description:
Computational methods for reducing the complexity of Finite Element (FE)models in structural dynamics are usually based on modal analysis.Classical approaches such as modal truncation, static condensation(Craig-Bampton, Guyan), and component mode synthesis (CMS) areavailable in many CAE tools such as ANSYS.In other disciplines, differenttechniques for Model Order Reduction (MOR) have been developed in theprevious 2 decades.Krylov subspace methods are one possiblechoice and often lead to much smaller models than modal truncationmethods given the same prescribed tolerance threshold.They have becomeavailable to ANSYS users through the tool mor4ansys.A disadvantageis that neither modal truncation nor CMS nor Krylov subspace methodspreserve properties important to control design.System-theoreticmethods like balanced truncation approximation (BTA), on the otherhand, are directed towards reduced-order models for use in closed-loopcontrol.So far, these methods are considered to be too expensive forlarge-scale structural models.We show that recent algorithmicadvantages lead to MOR methods that are applicable to FE models instructural dynamics and that can easily be integrated into CAE software.We will demonstrate the efficiency of the proposed MORmethod based on BTA using a control system including as plant the FEmodel of a machine tool.