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Article Dans Une Revue Communications in Mathematics Année : 2016

Geometry of the free-sliding Bernoulli beam

Giovanni Moreno
  • Fonction : Auteur correspondant
Monika Ewa Stypa
  • Fonction : Auteur

Résumé

If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of the free boundary values variational problem. Such is, for instance, the problem of finding the shortest curve whose endpoints can slide along two prescribed curves. There exists a rigorous geometric way to formulate this sort of problems on smooth manifolds with boundary, which we review here in a friendly self-contained way. As an application, we study the particular free boundary values variational problem of the free-sliding Bernoulli beam.
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hal-03664927 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Giovanni Moreno, Monika Ewa Stypa. Geometry of the free-sliding Bernoulli beam. Communications in Mathematics, 2016, Volume 24 (2016), Issue 2 (2), pp.153 - 171. ⟨10.1515/cm-2016-0011⟩. ⟨hal-03664927⟩
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