Model verification in dynamics through strict upper error bounds

Pierre Ladevèze (1) , Julien Waeytens (2)

1 LMT - Laboratoire de Mécanique et Technologie
2 IFSTTAR - Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux

This paper describes new strict error bounds of calculated outputs of interest in linear dynamics. All sources of errors, including modeling errors, are taken into account, which makes such error bounds suitable tools for analyzing various approximations in dynamics. Small-displacement problems are included through the classical thermodynamics framework involving internal state variables. Preliminary numerical illustrations are given.

Domaines: Sciences de l'ingénieur [physics]

Pierre Ladevèze, Julien Waeytens. Model verification in dynamics through strict upper error bounds. 2nd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2009), Jun 2009, Rhodes, Greece. pp.1775-1784, ⟨10.1016/j.cma.2008.12.020⟩. ⟨hal-01584541⟩