Skip to Main content Skip to Navigation
Journal articles

A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control

Abstract : In this paper, popular model reduction techniques from the fields of structural dynamics, numerical mathematics and systems and control are reviewed and compared. The motivation for such a comparison stems from the fact that the model reduction techniques in these fields have been developed fairly independently. In addition, the insight obtained by the comparison allows for making a motivated choice for a particular model reduction technique, on the basis of the desired objectives and properties of the model reduction problem. In particular, a detailed review is given on mode displacement techniques, moment matching methods and balanced truncation, whereas important extensions are outlined briefly. In addition, a qualitative comparison of these methods is presented, hereby focusing both on theoretical and computational aspects. Finally, the differences are illustrated on a quantitative level by means of application of the model reduction techniques to a common example.
Complete list of metadatas

Cited literature [62 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01711355
Contributor : Nicolas Guérin <>
Submitted on : Saturday, March 3, 2018 - 6:17:23 AM
Last modification on : Tuesday, September 8, 2020 - 6:28:05 PM
Long-term archiving on: : Monday, June 4, 2018 - 3:24:18 PM

File

besselink2013.pdf
Files produced by the author(s)

Identifiers

Citation

Bart Besselink, Umut Tabak, Agnieszka Lutowska, Nathan van de Wouw, H. Nijmeijer, et al.. A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control. Journal of Sound and Vibration, Elsevier, 2013, 332 (19), pp.4403-4422. ⟨10.1016/j.jsv.2013.03.025⟩. ⟨hal-01711355⟩

Share

Metrics

Record views

133

Files downloads

932