Abstract
In industrial applications, the design of beam and shell structures is generally based on global representations for curves and surfaces, such as Bezier curves, splines and NURBS. On the other hand, the mechanical analysis of these structures by the finite element method generally requires a refined discretization of the geometry. It is shown here that this analysis can be performed directly from the CAD representation which involves a small number of variables. Assuming a Bezier representation, the theory is developed in the framework of large displacements and then is applied to the static analysis of a beam undergoing large rotations. A compatible parametrization of the beam displacements is discussed. A formulation for the large displacement beam mechanics is summarized and applied to a straight beam submitted to various loading cases. Finally, three illustrative examples are presented.
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