2002
DOI: 10.1002/nme.486
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Abstract: SUMMARYWe present in this paper a new ÿnite element formulation of geometrically exact rod models in the threedimensional dynamic elastic range. The proposed formulation leads to an objective (or frame-indi erent under superposed rigid body motions) approximation of the strain measures of the rod involving ÿnite rotations of the director frame, in contrast with some existing formulations. This goal is accomplished through a direct ÿnite element interpolation of the director ÿelds deÿning the motion of the rod'… Show more

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Cited by 178 publications
(147 citation statements)
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“…Traditional finite element discretisations based on rotations do not satisfy objectivity [1,2,4,6]. In order to circumvent this shortcoming, a formulation in which the nodal degrees of freedom correspond to displacements of the centre line x 0 and the director triad {d 1 , d 2 , d 3 } is considered following reference [1,6].…”
Section: Finite Element Discretisationmentioning
confidence: 99%
See 4 more Smart Citations
“…Traditional finite element discretisations based on rotations do not satisfy objectivity [1,2,4,6]. In order to circumvent this shortcoming, a formulation in which the nodal degrees of freedom correspond to displacements of the centre line x 0 and the director triad {d 1 , d 2 , d 3 } is considered following reference [1,6].…”
Section: Finite Element Discretisationmentioning
confidence: 99%
“…In order to circumvent this shortcoming, a formulation in which the nodal degrees of freedom correspond to displacements of the centre line x 0 and the director triad {d 1 , d 2 , d 3 } is considered following reference [1,6]. In this approach, x 0 and the director vectors are interpolated as…”
Section: Finite Element Discretisationmentioning
confidence: 99%
See 3 more Smart Citations