A series solution in terms of Legendre polynomials of the stress function suitable for modelling the mechanical response of a cylindrical component is revisited, and some contributions to the definition of the series terms are given. In particular, the correction to be imparted to a logarithmically singular series solution is considered, and a recursive approach for its determination is developed. A preliminary example dealing with an elastic, deformable cylindrical hub forced onto a rigid shaft is presented.
A contribution to the Legendre series solution of the mechanical analysis of cylindrical problems / Strozzi, Antonio; Baldini, Andrea; Giacopini, Matteo; Bertocchi, Enrico; Campioni, Eleonora; Mantovani, Sara. - STAMPA. - (2012), pp. 275-288. (Intervento presentato al convegno Quinta giornata di studio Ettore Funaioli tenutosi a Bologna nel 15/07/2011).
A contribution to the Legendre series solution of the mechanical analysis of cylindrical problems
STROZZI, Antonio;BALDINI, Andrea;GIACOPINI, Matteo;BERTOCCHI, Enrico;CAMPIONI, ELEONORA;MANTOVANI, SARA
2012
Abstract
A series solution in terms of Legendre polynomials of the stress function suitable for modelling the mechanical response of a cylindrical component is revisited, and some contributions to the definition of the series terms are given. In particular, the correction to be imparted to a logarithmically singular series solution is considered, and a recursive approach for its determination is developed. A preliminary example dealing with an elastic, deformable cylindrical hub forced onto a rigid shaft is presented.
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