A curved beam element based on the Timoshenko model and non-uniform rational B-splines (NURBS) interpolation both for geometry and displacements is presented. Such an element can be used to suitably analyse plane-curved beams and arches. Some numerical results will explore the effectiveness and accuracy of this novel method by comparing its performance with those of some accurate finite elements proposed in the technical literature, and also with analytical solutions: for the cases where such closed-form solutions were not available in the literature, they have been computed by exact integration of the governing differential equations. It is shown that the presented element is almost insensitive to both membrane- and shear-locking, and that such phenomena can be easily controlled by properly choosing the number of elements or the NURBS degree.

Isogeometric analysis of plane-curved beams / Cazzani, A; Malagù, M; Turco, Emilio. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 21:5(2016), pp. 562-577. [10.1177/1081286514531265]

Isogeometric analysis of plane-curved beams

TURCO, Emilio
2016

Abstract

A curved beam element based on the Timoshenko model and non-uniform rational B-splines (NURBS) interpolation both for geometry and displacements is presented. Such an element can be used to suitably analyse plane-curved beams and arches. Some numerical results will explore the effectiveness and accuracy of this novel method by comparing its performance with those of some accurate finite elements proposed in the technical literature, and also with analytical solutions: for the cases where such closed-form solutions were not available in the literature, they have been computed by exact integration of the governing differential equations. It is shown that the presented element is almost insensitive to both membrane- and shear-locking, and that such phenomena can be easily controlled by properly choosing the number of elements or the NURBS degree.
Isogeometric analysis of plane-curved beams / Cazzani, A; Malagù, M; Turco, Emilio. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 21:5(2016), pp. 562-577. [10.1177/1081286514531265]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/81365
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