On stability of non-inflectional elastica

Milan Batista

doi:10.5802/crmeca.2

On stability of non-inflectional elastica

Milan Batista ¹

¹ University of Ljubljana, Faculty of Maritime Studies and Transport, Pot pomorščakov 4, 6320 Portorož, Slovenia

Comptes Rendus. Mécanique, Volume 348 (2020) no. 2, pp. 137-148.

Abstract

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.

Received: 2018-12-17
Revised: 2019-04-05
Accepted: 2019-12-02
Published online: 2020-06-24

DOI: 10.5802/crmeca.2

Mots-clés : Elasticity, Non-inflectional elastica, Stability

Author's affiliations:

Milan Batista ¹

¹ University of Ljubljana, Faculty of Maritime Studies and Transport, Pot pomorščakov 4, 6320 Portorož, Slovenia

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Milan Batista},
     title = {On stability of non-inflectional elastica},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {137--148},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {2},
     year = {2020},
     doi = {10.5802/crmeca.2},
     language = {en},
}

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Milan Batista. On stability of non-inflectional elastica. Comptes Rendus. Mécanique, Volume 348 (2020) no. 2, pp. 137-148. doi : 10.5802/crmeca.2. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.2/

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