The Application of Greenhill’s Formula to Cable Hockling

Rosenthal, Felix

doi:10.1115/1.3423955

Cited by 17 publications

(7 citation statements)

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“…Amongst these we can mention "hockling" -the formation of loops during pipeline and cable laying operations. Hockling occurs when a twisted rod is slackened off and a section of it flips into a loop, [1], [2], [3], [4] and [5]. Other applications include "snarling", a term used in the textile industry [6] to describe the onset of highly twisted helical plies.…”

Section: Introductionmentioning

confidence: 99%

Experiments on snap buckling, hysteresis and loop formation in twisted rods

Goss

Heijden

Thompson

et al. 2005

Experimental Mechanics

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We give results of large deflection experiments involving the bending and twisting of 1 mm diameter nickel-titanium alloy rods, up to 2 m in length. These results are compared to calculations based on the Cosserat theory of rods. Details of this theory, formulated as a boundary value problem are presented. The mathematical boundary conditions model the experimental set up. The rods are clamped in aligned chucks and the experiments are carried out under rigid loading conditions. An experiment proceeds by either twisting the ends of the rod by a certain amount and then adjusting the slack, or fixing the slack and varying the amount of twist. In this way commonly encountered phenomena such as snap buckling, the formation of loops, and buckling into and out of planar configurations are investigated. The effect of gravity is discussed.

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Section: Introductionmentioning

confidence: 99%

Experiments on snap buckling, hysteresis and loop formation in twisted rods

Goss

Heijden

Thompson

et al. 2005

Experimental Mechanics

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“…which takes the form of Equation ( 33) in the parametric case, and Equation (48) in the isometric case.…”

Section: Conjugate Updatementioning

confidence: 99%

On nonlinear geometric transformations of finite elements

Perez,

Filippou

2024

Numerical Meth Engineering

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The paper develops a systematic procedure for formulating finite elements on manifolds. The theoretical developments give rise to a modular computational framework for composing coordinate transformations and manifold parameterizations. The procedure is demonstrated with the Cosserat rod model furnishing a novel finite element formulation that rectifies the lack of objectivity of existing finite elements without violating the director constraints or compromising the symmetry of the tangent stiffness at equilibrium. The framework is element‐independent, allowing its implementation as a wrapper to existing element libraries without modification of the element state determination procedures.

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“…For example, a cable under low tension may exhibit a torsional instability whereby torsional stress causes the cable to twist out of plane locally. Known as hockling, this condition develops from coupled axial and torsional stiffness (Rosenthal, 1976). However, if properly designed with torque-balanced cross-sections, cables of any appreciable length exhibit little torsional response.…”

Section: Kinematic Continuity Relationshipmentioning

confidence: 99%

Local/Global Approach to Nonlinear Simulation of Compliant Marine Structures.

Zueck¹

1997

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The Application of Greenhill’s Formula to Cable Hockling

Cited by 17 publications

References 0 publications

Experiments on snap buckling, hysteresis and loop formation in twisted rods

Experiments on snap buckling, hysteresis and loop formation in twisted rods

On nonlinear geometric transformations of finite elements

Local/Global Approach to Nonlinear Simulation of Compliant Marine Structures.

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