Boutmir, Sanaa; Braikat, Bouazza; Jamal, Mohammad; Damil, Noureddine; Cochelin, Bruno; Potier-Ferry, Michel Implicit solvers of higher order for nonlinear dynamic structure problems. (Des solveurs implicites d’ordre supérieur pour les problèmes de dynamique non linéaire des structures.) (French. English summary) Zbl 1226.74051 Rev. Eur. Élém. Finis 13, No. 5-7, 449-460 (2004). Summary: We develop in this work, some implicit temporal high order solvers for solving nonlinear elastic structural dynamic problems involving finite deformations. These solvers are based on the perturbation method, the homotopical transformation and time space discretization techniques. Their accuracy is improved by the introduction of Padé approximants. Numerical calculations, compared with others classical solvers, are illustrated on forced nonlinear vibration problems of a 2D elastic beam and an elastic plate. Cited in 1 Document MSC: 74S30 Other numerical methods in solid mechanics (MSC2010) Keywords:implicit high order solvers; nonlinear dynamics of structures; homotopy; perturbation PDFBibTeX XMLCite \textit{S. Boutmir} et al., Rev. Eur. Élém. Finis 13, No. 5--7, 449--460 (2004; Zbl 1226.74051) Full Text: DOI