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Etude des effets dissipatifs de différents schémas d'intégration temporelle en calcul dynamique par éléments finis

Abstract : This study deals with several time integration algorithms in structural dynamics. We focus on their ability to dissipate spurious frequencies which come from space and time discretizations. Time discretization in structural dynamics can be done with the Finite Differences Method or the Finite Elements Method and more particularly with the discontinuous Galerkin method. The results show spurious oscillations which are numerical and come frome time and space discretizations. This study focuses on the numerical methods used to damp these spurious oscillations. First, the Tchamwa-Wielgosz's explicite scheme and the Bonelli's one are compared to the classical Bulk-viscosity method for one-dimensional and three-dimensional problems. The use of damping methods on numerical examples which come from experiments (Split Hopkinson Pressure Bar, transverse impact of a steel plate) is finally studied. This study showed the efficiency of the damping methods to filter spurious oscillations. However, numerical damping excessively attains low-frequency modes. Thus, a new method which controls numerical damping during the whole simulation process has been developed. The second innovation deals with the study of an explicite time integration algorithm, which belongs to the Finite Element Method. This third order accurracy scheme can approximate the theoretical solution of a discrete space.
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https://tel.archives-ouvertes.fr/tel-00139112
Contributor : Laurent Mahéo <>
Submitted on : Thursday, March 29, 2007 - 12:12:39 PM
Last modification on : Monday, October 19, 2020 - 11:07:10 AM
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Laurent Mahéo. Etude des effets dissipatifs de différents schémas d'intégration temporelle en calcul dynamique par éléments finis. Mécanique [physics.med-ph]. Université de Bretagne Sud, 2006. Français. ⟨tel-00139112⟩

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