[en] This paper investigates the application of the POD method to dynamic systems evolving on a Lie group. More precisely, the construction of the snapshot matrix and the definition of the projection operation on the Lie group are addressed. A numerical study based on an highly elastic beam with large 3D motion is developed to illustrate the theoretical concepts. The influence of the choice of the initial Lie group structure, of the definition of the snapshot matrix and of the projection scheme are investigated numerically.
Disciplines :
Mechanical engineering
Author, co-author :
Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Martinusi, Vladimir ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Sonneville, Valentin
Language :
English
Title :
On the Proper Orthogonal Decomposition for the reduced-order modelling of geometrically nonlinear elastic bodies
Publication date :
2017
Event name :
ECCOMAS Thematic Conference on Multibody Dynamics
Event place :
Prague, Czechia
Event date :
June 2017
By request :
Yes
Audience :
International
Main work title :
Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics
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