On stability of non-inflectional elastica
This study considers the stability of a non-inflectional elastica under a conservative end force subject to the Dirichlet, mixed, and Neumann boundary conditions. It is demonstrated that the non-inflectional elastica subject to the Dirichlet boundary conditions is unconditionally stable, while for t...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-06-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.2/ |
| _version_ | 1797651447064559616 |
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| author | Batista, Milan |
| author_facet | Batista, Milan |
| author_sort | Batista, Milan |
| collection | DOAJ |
| description | This study considers the stability of a non-inflectional elastica under a conservative end force subject to the Dirichlet, mixed, and Neumann boundary conditions. It is demonstrated that the non-inflectional elastica subject to the Dirichlet boundary conditions is unconditionally stable, while for the other two boundary conditions, sufficient criteria for stability depend on the signs of the second derivatives of the tangent angle at the endpoints. |
| first_indexed | 2024-03-11T16:15:56Z |
| format | Article |
| id | doaj.art-1fc7206629c84f889ec4c311707b1cf1 |
| institution | Directory Open Access Journal |
| issn | 1873-7234 |
| language | English |
| last_indexed | 2024-03-11T16:15:56Z |
| publishDate | 2020-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj.art-1fc7206629c84f889ec4c311707b1cf12023-10-24T14:20:43ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342020-06-01348213714810.5802/crmeca.210.5802/crmeca.2On stability of non-inflectional elasticaBatista, Milanhttps://orcid.org/0000-0002-4004-8098This study considers the stability of a non-inflectional elastica under a conservative end force subject to the Dirichlet, mixed, and Neumann boundary conditions. It is demonstrated that the non-inflectional elastica subject to the Dirichlet boundary conditions is unconditionally stable, while for the other two boundary conditions, sufficient criteria for stability depend on the signs of the second derivatives of the tangent angle at the endpoints.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.2/ElasticityNon-inflectional elasticaStability |
| spellingShingle | Batista, Milan On stability of non-inflectional elastica Comptes Rendus. Mécanique Elasticity Non-inflectional elastica Stability |
| title | On stability of non-inflectional elastica |
| title_full | On stability of non-inflectional elastica |
| title_fullStr | On stability of non-inflectional elastica |
| title_full_unstemmed | On stability of non-inflectional elastica |
| title_short | On stability of non-inflectional elastica |
| title_sort | on stability of non inflectional elastica |
| topic | Elasticity Non-inflectional elastica Stability |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.2/ |
| work_keys_str_mv | AT batistamilan onstabilityofnoninflectionalelastica |