Lancret helices

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dc.creatorda Fonseca, Alexandre F.
dc.creatorMalta, C. P.
dc.date2005-07-13
dc.date.accessioned2026-07-07T05:55:22Z
dc.date.available2026-07-07T05:55:22Z
dc.descriptionHelical configurations of inhomogeneous symmetric rods with non-constant bending and twisting stiffness are studied within the framework of the Kirchhoff rod model. From the static Kirchhoff equations, we obtain a set of differential equations for the curvature and torsion of the centerline of the rod and the Lancret's theorem is used to find helical solutions. We obtain a free standing helical solution for an inhomogeneous rod whose curvature and torsion depend on the form of variation of the bending coefficient along the rod. These results are obtained for inhomogeneous rods without intrinsic curvature, and for a particular case of intrinsic curvature.
dc.description31 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0507105
dc.identifierhttp://arxiv.org/abs/physics/0507105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87256
dc.subjectBiological Physics
dc.titleLancret helices
dc.typetext

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