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Model order reduction techniques for thermomechanical systems with nonlinear radiative heat transfer using proper orthogonal decomposition
Hickey, Daryl; Hoffait, Sébastien; Rothkegel Ide, José Ignacio et al.
2010In Proceedings of ISMA 2010
 

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Keywords :
Model reduction; Multiphysics systems; Nonlinear dynamics
Abstract :
[en] Analysing large scale, nonlinear, multiphysical, dynamical structures, by using mathematical modelling and simulation, e.g. Finite Element Modelling (FEM), can be computationally very expensive, especially if the number of degrees-of-freedom is high. This paper develops modal reduction techniques for such nonlinear multiphysical systems. The paper focuses on Proper Orthogonal Decomposition (POD), a multivariate statistical method that obtains a compact representation of a data set by reducing a large number of interdependent variables to a much smaller number of uncorrelated variables. A fully coupled, thermomechanical model consisting of a multilayered, cantilever beam is described and analysed. This linear benchmark beam is then extended to incorporate an external box. The nonlinear radiative exchanges between the beam and the external box are analysed and a reduction procedure is proposed for this fully coupled, nonlinear, multiphysical, thermomechanical system. Two alternative approaches to the reduction are investigated, a monolithic scaled approach and a partitioned approach that treats the individual physical modes separately.
Disciplines :
Mechanical engineering
Author, co-author :
Hickey, Daryl ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Hoffait, Sébastien ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Rothkegel Ide, José Ignacio ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Bruls, Olivier  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Language :
English
Title :
Model order reduction techniques for thermomechanical systems with nonlinear radiative heat transfer using proper orthogonal decomposition
Publication date :
September 2010
Event name :
ISMA 2010
Event place :
Leuven, Belgium
Event date :
Du 20 au 22 septembre 2010
Audience :
International
Main work title :
Proceedings of ISMA 2010
Available on ORBi :
since 26 November 2010

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