On the use of an high order perturbation method for numerical time integration in structural dynamics.

Bertille Claude; Grégory Girault; Bruno Leblé; Jean-Marc Cadou

doi:10.5802/crmeca.195

On the use of an high order perturbation method for numerical time integration in structural dynamics.

Bertille Claude ¹; Grégory Girault ²; Bruno Leblé ³; Jean-Marc Cadou ²

¹ Centre de recherche, Académie Militaire de Saint-Cyr Coëtquidan, F-56381 Guer, France.
² Institut de Recherche Dupuy de Lôme,CNRS UMR 6027, IRDL, F-56100 Lorient, France.
³ Naval Group, 5, rue de l’Halbrane - TCO, F-44340 Bouguenais, France.

Comptes Rendus. Mécanique, Volume 351 (2023), pp. 227-245.

Abstract

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.

Received: 2022-09-26
Revised: 2023-03-28
Accepted: 2023-04-27
Published online: 2023-06-19

DOI: 10.5802/crmeca.195

Mots-clés : Perturbation method, time integration method, nonlinear dynamics, nonlinear elastic shell, dynamics buckling

Author's affiliations:

Bertille Claude ¹; Grégory Girault ²; Bruno Leblé ³; Jean-Marc Cadou ²

¹ Centre de recherche, Académie Militaire de Saint-Cyr Coëtquidan, F-56381 Guer, France.
² Institut de Recherche Dupuy de Lôme,CNRS UMR 6027, IRDL, F-56100 Lorient, France.
³ Naval Group, 5, rue de l’Halbrane - TCO, F-44340 Bouguenais, France.

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     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},
}

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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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