Comparison of the Von Kármán and Kirchhoff models for the post-buckling and vibrations of elastic beams

We compare different models describing the buckling, post-buckling and vibrations of elastic beams in the plane. Focus is put on the first buckled equilibrium solution and the first two vibration modes around it. In the incipient post-buckling regime, the classic Woinowsky-Krieger model is known to...

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Autors principals:	Sébastien Neukirch, Morteza Yavari, Noël Challamel, Olivier Thomas
Format:	Artigo
Idioma:	Inglês
Publicat:	INRIA 2021-05-01
Col·lecció:	Journal of Theoretical, Computational and Applied Mechanics
Matèries:	postbuckling natural frequencies nonlinearities [phys.meca.solid]physics [physics]/mechanics [physics]/solid mechanics [physics.class-ph] [phys.meca.stru]physics [physics]/mechanics [physics]/structural mechanics [physics.class-ph]
Accés en línia:	https://jtcam.episciences.org/6828/pdf
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