Complete analytic elastic study of a 90° branch connection of a cylinder on a sphere subjected to a bending load

Autor:	Christian Wielgosz, Marie Noel Berton, David Plancq, Pierre Genette
Rok vydání:	1997
Předmět:	symbols.namesake Fourier transform Mechanics of Materials Mechanical Engineering Mathematical analysis symbols Shallow shell Radial displacement General Materials Science Geometry Legendre function Finite element calculations Mathematics
Zdroj:	International Journal of Pressure Vessels and Piping. 71:61-69
ISSN:	0308-0161
DOI:	10.1016/s0308-0161(96)00042-7
Popis:	This paper proposes a complete analytic formulation for the elastic mechanical calculation of a 90° branch connection of a cylinder on a sphere under a bending load. It is validated and simplified by comparison with shell-type finite element calculations in Fourier mode using the CEA's Castem 2000 code. The general calculations of the cylinder were obtained by minimisation of the deformation energy. The sphere study was conducted without particular consideration to Donnell-Vlasov's shallow shell theory. The mathematical analysis is based on the classical system which couples the radial displacement and a stress function. Solutions are provided in complex Legendre functions. An algorithm is presented to facilitate their calculation. Lastly, well chosen continuity conditions on the cylinder and the sphere provide an easily solvable system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dc5869c6bbf4f515bdf54a8898c0e0dc https://doi.org/10.1016/s0308-0161(96)00042-7 Zobrazit plný text záznamu Full Text from ScienceDirect