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Closed-form solution of axisymmetric slender elastic toroidal shells / Bohua Sun in Journal of engineering mechanics, Vol. 136 N° 10 (Octobre 2010) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 136 N° 10 (Octobre 2010) . - pp.1281-1288 Titre : Closed-form solution of axisymmetric slender elastic toroidal shells Type de document : texte imprimé Auteurs : Bohua Sun, Auteur Année de publication : 2010 Article en page(s) : pp.1281-1288 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Shells  Axisymmetry  Bending  Deformation  Elasticity  Closed  form  solutions. Résumé : Toroidal shells are widely used in structural engineering. The governing equations of toroidal shells are very complicated because of its variable coefficients with singularity. To find their analytical solution, traditionally, the complex form governing equations were proposed and some useful solutions were obtained. Unfortunately, no any closed-form solution has even been obtained for either general or slender toroidal shells. This paper focus on a special case of toroidal shells, i.e., slender symmetrical toroidal shells. For the first time, the closed-form solution of this kind of shell has been successfully obtained from displacement form governing equations. The closed-form solution is demonstrated for the example of thermal compensation devices. The correction of well-known Dahl formula for slender toroidal shell has been proposed based on the solution obtained in this paper. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v136/i10/p1281_s1?isAuthorized=no [article] Closed-form solution of axisymmetric slender elastic toroidal shells [texte imprimé] / Bohua Sun, Auteur . - 2010 . - pp.1281-1288. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 136 N° 10 (Octobre 2010) . - pp.1281-1288 Mots-clés : Shells  Axisymmetry  Bending  Deformation  Elasticity  Closed  form  solutions. Résumé : Toroidal shells are widely used in structural engineering. The governing equations of toroidal shells are very complicated because of its variable coefficients with singularity. To find their analytical solution, traditionally, the complex form governing equations were proposed and some useful solutions were obtained. Unfortunately, no any closed-form solution has even been obtained for either general or slender toroidal shells. This paper focus on a special case of toroidal shells, i.e., slender symmetrical toroidal shells. For the first time, the closed-form solution of this kind of shell has been successfully obtained from displacement form governing equations. The closed-form solution is demonstrated for the example of thermal compensation devices. The correction of well-known Dahl formula for slender toroidal shell has been proposed based on the solution obtained in this paper. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v136/i10/p1281_s1?isAuthorized=no