Energy conserving balance of explicit time steps to combine implicit and explicit algorithms in structural dynamics

Noels, Ludovic; Stainier, Laurent; Ponthot, Jean-Philippe

doi:10.1016/j.cma.2005.03.003

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Energy conserving balance of explicit time steps to combine implicit and explicit algorithms in structural dynamics

Noels, Ludovic; Stainier, Laurent; Ponthot, Jean-Philippe

2006 • In Computer Methods in Applied Mechanics and Engineering, 195 (19-22), p. 2169–2192

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https://hdl.handle.net/2268/274

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10.1016/j.cma.2005.03.003

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Keywords :

structural dynamics; implicit; explicit; time integration; energy conserving

Abstract :

[en] Recent developments have proved the advantage of combining both time implicit and time explicit integration algorithms in structural dynamics. A major problem is to define the initial conditions for the implicit simulation on the basis of a solution obtained from an unbalanced explicit resolution. The unbalanced nature of the explicit algorithm leads to oscillations in the fields of interest. Therefore, the values obtained after an explicit computation cannot be used directly as initial conditions for an implicit simulation. In this paper, we develop such initial values that lead to a stable (no numerical creation of energy) and energy-conserving transition. (c) 2005 Elsevier B.V. All rights reserved.

Disciplines :

Mechanical engineering

Author, co-author :

Noels, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique

Stainier, Laurent ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique

Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Language :

English

Title :

Energy conserving balance of explicit time steps to combine implicit and explicit algorithms in structural dynamics

Publication date :

2006

Journal title :

Computer Methods in Applied Mechanics and Engineering

ISSN :

0045-7825

eISSN :

1879-2138

Publisher :

Elsevier Science Sa, Lausanne, Switzerland

Volume :

195

Issue :

19-22

Pages :

2169–2192

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://dx.doi.org/10.1016/j.cma.2005.03.003

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 03 July 2008

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