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) are
available in many CAE tools such as ANSYS. In other disciplines, different
techniques for Model Order Reduction (MOR) have been developed in the
previous 2 decades. Krylov subspace methods are one possible
choice and often lead to much smaller models than modal truncation
methods given the same prescribed tolerance threshold. They have become
available to ANSYS users through the tool mor4ansys. A disadvantage
is that neither modal truncation nor CMS nor Krylov subspace methods
preserve properties important to control design. System-theoretic
methods like balanced truncation approximation (BTA), on the other
hand, are directed towards reduced-order models for use in closed-loop
control. So far, these methods are considered to be too expensive for
large-scale structural models. We show that recent algorithmic
advantages lead to MOR methods that are applicable to FE models in
structural dynamics and that can easily be integrated into CAE
software. We will demonstrate the efficiency of the proposed MOR
method based on BTA using a control system including as plant the FE
model of a machine tool.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-200901837 |
| Date | 13 November 2009 |
| Creators | Benner, Peter, Bonin, Thomas, Faßbender, Heike, Saak, Jens, Soppa, Andreas, Zaeh, Michael |
| Contributors | TU Chemnitz, Fakultät für Mathematik, ANSYS Conference & 27. CADFEM Users Meeting 2009, |
| Publisher | Universitätsbibliothek Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:conferenceObject |
| Format | application/pdf, application/msword, text/plain, application/zip |
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