Structure-preserving model reduction for dissipative mechanical systems

Publikationstyp
Book part
Date Issued
2024
Sprache
English
Author(s)
Beddig, Rebekka S. 
Mathematik E-10  
Benner, Peter  
Dorschky, Ines
Reis, Timo  
Mathematik E-10  
Schwerdtner, Paul  
Voigt, Matthias
Werner, Steffen W. R.  
TORE-URI
https://hdl.handle.net/11420/43689
First published in
Lecture notes in applied and computational mechanics  
Number in series
102
Volume
102
Start Page
209
End Page
230
Citation
in: Calm, smooth and smart. - Springer (Lecture Notes in Applied and Computational Mechanics 102: 209-230 (2024)
Publisher DOI
10.1007/978-3-031-36143-2_11
Scopus ID
2-s2.0-85172719258
Publisher
Springer
ISBN
978-3-031-36143-2
978-3-031-36142-5
Suppressing vibrations in mechanical systems, usually described by second-order dynamical models, is a challenging task in mechanical engineering in terms of computational resources even nowadays. One remedy is structure-preserving model order reduction to construct easy-to-evaluate surrogates for the original dynamical system having the same structure. In our work, we present an overview of recently developed structure-preserving model reduction methods for second-order systems. These methods are based on modal and balanced truncation in different variants, as well as on rational interpolation. Numerical examples are used to illustrate the effectiveness of all described methods.
DDC Class
510: Mathematics
530: Physics
620: Engineering