Orientador(es)
Resumo(s)
Piping structures have large application in power generation and chemical plants. Given their
complexity and construction safety standards, the development of accurate numerical methods has
been analyzed by several authors [1,2,3] with trigonometric solutions. Also pipe finite elements, with
a considerable amount and complexity of work, has been used to define accurate models for numerical
approach of the stress field [4,5,6,7].
In this work both analytical and numerical approaches are presented. A mathematical analytical
solution is derived using a mixed formulation where unknown functions are combined with Fourier
series [8]. Using a minimization criterion for the total energy involved in the process a system of
second order ordinary differential equations is obtained and then solved using the MAPLE®
mathematical package. Numerical simulation was performed using the Finite Element Method for the
same steel pipe under out-of-plane bending and results are compared showing that a good agreement
can be reached with only a few terms in the Fourier expansion. In this example four terms were
considered.
Descrição
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Contexto Educativo
Citação
Madureira, L.; Fonseca, E.M.M.; Melo, F.J.M.Q. de (2010). Out of Plane Bending in Curved Pipes. In IV European Conference on Computational Mechanics. Paris.