On the use of an high order perturbation method for numerical time integration in structural dynamics.
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....
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-06-01
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| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.195/ |
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| _version_ | 1825206006463856640 |
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| author | Claude, Bertille Girault, Grégory Leblé, Bruno Cadou, Jean-Marc |
| author_facet | Claude, Bertille Girault, Grégory Leblé, Bruno Cadou, Jean-Marc |
| author_sort | Claude, Bertille |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6a61797fb39a4e97b04ba9ccf5b31d38 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-6a61797fb39a4e97b04ba9ccf5b31d382025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-06-01351G222724510.5802/crmeca.19510.5802/crmeca.195On the use of an high order perturbation method for numerical time integration in structural dynamics.Claude, Bertille0Girault, Grégory1Leblé, Bruno2Cadou, Jean-Marc3Centre de recherche, Académie Militaire de Saint-Cyr Coëtquidan, F-56381 Guer, France.Institut de Recherche Dupuy de Lôme,CNRS UMR 6027, IRDL, F-56100 Lorient, France.Naval Group, 5, rue de l’Halbrane - TCO, F-44340 Bouguenais, France.Institut de Recherche Dupuy de Lôme,CNRS UMR 6027, IRDL, F-56100 Lorient, France.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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.195/Perturbation methodtime integration methodnonlinear dynamicsnonlinear elastic shelldynamics buckling |
| spellingShingle | Claude, Bertille Girault, Grégory Leblé, Bruno Cadou, Jean-Marc On the use of an high order perturbation method for numerical time integration in structural dynamics. Comptes Rendus. Mécanique Perturbation method time integration method nonlinear dynamics nonlinear elastic shell dynamics buckling |
| title | On the use of an high order perturbation method for numerical time integration in structural dynamics. |
| title_full | On the use of an high order perturbation method for numerical time integration in structural dynamics. |
| title_fullStr | On the use of an high order perturbation method for numerical time integration in structural dynamics. |
| title_full_unstemmed | On the use of an high order perturbation method for numerical time integration in structural dynamics. |
| title_short | On the use of an high order perturbation method for numerical time integration in structural dynamics. |
| title_sort | on the use of an high order perturbation method for numerical time integration in structural dynamics |
| topic | Perturbation method time integration method nonlinear dynamics nonlinear elastic shell dynamics buckling |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.195/ |
| work_keys_str_mv | AT claudebertille ontheuseofanhighorderperturbationmethodfornumericaltimeintegrationinstructuraldynamics AT giraultgregory ontheuseofanhighorderperturbationmethodfornumericaltimeintegrationinstructuraldynamics AT leblebruno ontheuseofanhighorderperturbationmethodfornumericaltimeintegrationinstructuraldynamics AT cadoujeanmarc ontheuseofanhighorderperturbationmethodfornumericaltimeintegrationinstructuraldynamics |