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Simple mechanical model of curved beams by a 3D approach / Lenci, Stefano in Journal of engineering mechanics, Vol. 135 N° 7 (Juillet 2009) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 135 N° 7 (Juillet 2009) . - pp. 597-613 Titre : Simple mechanical model of curved beams by a 3D approach Type de document : texte imprimé Auteurs : Lenci, Stefano, Auteur ; Clementi, Francesco, Auteur Article en page(s) : pp. 597-613 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Curved  beams  Three-dimensional  analysis  Mechanical  properties. Résumé : Starting from three-dimensional (3D) continuum mechanics, a simple one-dimensional model aimed at analyzing the whole static behavior of nonhomogeneous curved beams is proposed. The kinematics is described by four one-dimensional (unknown) functions representing radial, tangential, and out-of-plane displacements of the beam axis, which are due to flexures and extension, and the twist of the cross section due to torsion. The flexural and axial displacements fit with the classical Euler–Bernoulli beam theory of straight beams, and nonuniform torsion is also considered. The relevant elastogeometric parameters have been determined, and the system of governing equilibrium equations is obtained by means of the principle of minimum potential energy. Finally, the general theory is illustrated with examples. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strres [...] [article] Simple mechanical model of curved beams by a 3D approach [texte imprimé] / Lenci, Stefano, Auteur ; Clementi, Francesco, Auteur . - pp. 597-613. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 135 N° 7 (Juillet 2009) . - pp. 597-613 Mots-clés : Curved  beams  Three-dimensional  analysis  Mechanical  properties. Résumé : Starting from three-dimensional (3D) continuum mechanics, a simple one-dimensional model aimed at analyzing the whole static behavior of nonhomogeneous curved beams is proposed. The kinematics is described by four one-dimensional (unknown) functions representing radial, tangential, and out-of-plane displacements of the beam axis, which are due to flexures and extension, and the twist of the cross section due to torsion. The flexural and axial displacements fit with the classical Euler–Bernoulli beam theory of straight beams, and nonuniform torsion is also considered. The relevant elastogeometric parameters have been determined, and the system of governing equilibrium equations is obtained by means of the principle of minimum potential energy. Finally, the general theory is illustrated with examples. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strres [...]