This paper concerns numerical simulations of time-dependent problems in computational solid mechanics. A perturbation method, with the time as perturbation parameter, is proposed to solve two classical problems: an elastic bar excited by an end force and the dynamic buckling of a cylindrical panel. Specific quadratic recast of the equations is proposed to solve the nonlinear problems. Numerical results show that asymptotic time expansions is robust, efficient and gives more accurate solutions than the ones obtained with classical time-integration schemes (implicit or explicit), even when the considered meshes are coarse.
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Bertille Claude 1 ; Grégory Girault 2 ; Bruno Leblé 3 ; Jean-Marc Cadou 2
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@article{CRMECA_2023__351_G2_227_0, author = {Bertille Claude and Gr\'egory Girault and Bruno Lebl\'e and Jean-Marc Cadou}, title = {On the use of an high order perturbation method for numerical time integration in structural dynamics.}, journal = {Comptes Rendus. M\'ecanique}, pages = {227--245}, publisher = {Acad\'emie des sciences, Paris}, volume = {351}, year = {2023}, doi = {10.5802/crmeca.195}, language = {en}, }
TY - JOUR AU - Bertille Claude AU - Grégory Girault AU - Bruno Leblé AU - Jean-Marc Cadou TI - On the use of an high order perturbation method for numerical time integration in structural dynamics. JO - Comptes Rendus. Mécanique PY - 2023 SP - 227 EP - 245 VL - 351 PB - Académie des sciences, Paris DO - 10.5802/crmeca.195 LA - en ID - CRMECA_2023__351_G2_227_0 ER -
%0 Journal Article %A Bertille Claude %A Grégory Girault %A Bruno Leblé %A Jean-Marc Cadou %T On the use of an high order perturbation method for numerical time integration in structural dynamics. %J Comptes Rendus. Mécanique %D 2023 %P 227-245 %V 351 %I Académie des sciences, Paris %R 10.5802/crmeca.195 %G en %F CRMECA_2023__351_G2_227_0
Bertille Claude; Grégory Girault; Bruno Leblé; Jean-Marc Cadou. On the use of an high order perturbation method for numerical time integration in structural dynamics.. Comptes Rendus. Mécanique, Volume 351 (2023), pp. 227-245. doi : 10.5802/crmeca.195. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.195/
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