Refined beam elements with arbitrary cross-section geometries
2009; Elsevier BV; Volume: 88; Issue: 5-6 Linguagem: Inglês
10.1016/j.compstruc.2009.11.002
ISSN1879-2243
AutoresErasmo Carrera, Gaetano Giunta, Pietro Nali, Marco Petrolo,
Tópico(s)Topology Optimization in Engineering
ResumoThis paper presents hierarchical beam elements on the basis of the Carrera Unified Formulation. The displacement components are expanded in terms of the section coordinates, (x, y), using a set of 1-D generalized displacement variables. N-Order Taylor type expansions are employed. N is a free parameter of the formulation. Linear, quadratic and cubic approximations along the beam axis, (z), are introduced to develop finite element matrices. These are obtained in terms of a few fundamental nuclei whose form is independent of both N and the number of element nodes. Convergence and assessment with available results is first made. Additional analyses consider different beam sections (square and airfoil-shaped) as well as loading conditions (bending and torsion). It has mainly been concluded that the proposed model is capable of furnishing 3-D stress states in the considered beams with conventional (rectangular) and unconventional (thin-walled airfoil) sections.
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