Modelling torsion in an elastic cable in space

Benecke, Stephen; Vuuren, Jan H. van

doi:10.1016/j.apm.2004.07.009

Cited by 17 publications

(10 citation statements)

References 17 publications

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“…In Frame O − xyz: (10) and then c i t = 2 k i t m i , c i n = 2 k i n m i and c i b = 2 k i b m i are estimated.…”

Section: Finite Segment Model Of a Suturementioning

confidence: 99%

“…Pai (7) introduced an algorithm for linear object deformation using the Cosserat formulation, which could deal with rotational and translational displacement, including flexure, torsion and extension of a linear object. Gray (8) and Van Vuuren et al (9,10) described curved lines in two-or three-dimensional (2D or 3D) space using differential geometry. Moll et al (11,12) computed the stable shape of a linear object under some geometrical constraints based on differential geometry.…”

Section: Introductionmentioning

confidence: 99%

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A novel knot‐tying approach for minimally invasive surgical robot systems

Wang¹,

Wang²,

Yue³

2008

Robotics Computer Surgery

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“…In Frame O − xyz: (10) and then c i t = 2 k i t m i , c i n = 2 k i n m i and c i b = 2 k i b m i are estimated.…”

Section: Finite Segment Model Of a Suturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel knot‐tying approach for minimally invasive surgical robot systems

Wang¹,

Wang²,

Yue³

2008

Robotics Computer Surgery

View full text Add to dashboard Cite

show abstract

“…Enriched cable models, accounting for bending and torsional stiffness terms, have also been proposed in the literature to correctly represent some characteristic features of the static and dynamic response of structural cables, such as the geometric coupling between torsional and bending behavior [3] or between axial and torsional behavior [43], and the hysteretic bending behavior of metallic cables [21]. Moreover, accounting for these "beam-like" stiffness terms is of pivotal importance for the characterization of the stress-strain state within the boundary layers that can occur in the neighborhood of the constraints [1,19,18].…”

Section: Introductionmentioning

confidence: 99%

On the identification of the axial force and bending stiffness of stay cables anchored to flexible supports

Foti

Geuzaine

Denoël

2021

Applied Mathematical Modelling

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The generic model of a cable with small bending stiffness and anchored to flexible supports in rotation and translation is considered. An asymptotic analysis of the natural frequencies of this generic model is derived and shows that, for small bending stiffness, the first few natural frequencies can be expressed as a function of the cable axial force, the small bending stiffness and a single dimensionless group collecting the information of all other problem parameters. This formulation is used to develop an identification procedure of the cable axial force. Two formulations are proposed, one numerical and one semi-analytical based on a simple linear regression model. Both methods do not attempt at separately identifying the problem parameters since the observability analysis has revealed that only the cable axial force, the bending stiffness and the dimensionless group can be identified. In particular, the second method is very simple to implement and provides estimates of the cable axial force which account for the flexibility of the support. The proposed method can therefore be seen as an extension of usual identification techniques based on linear regressions of natural frequencies vs. mode number relations, by considering at the same time the bending stiffness and the deformability of supports. Being simple and robust as shown by means of an uncertainty quantification analysis, the proposed method can be conveniently embedded in the framework of a continuous monitoring strategy.

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“…Under the tensioning of the hangers, the main cable is twisted, leading to the steel wires in the main cable squeeze each other and misalign mutually. It is difficult to reasonably determine the transverse pre-deflected angle of the hanger installation, if the torsional angle of the main cable section is not accurately predicted (Benecke and van Vuuren, 2005). Therefore, it needs to continuously adjust the cable clamp to the design position during the subsequent construction process.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on torsional behavior of spatial main cable for a self-anchored suspension bridge

You

2019

Advances in Structural Engineering

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In order to understand the torsional behavior of the spatial main cable between two saddles for a self-anchored suspension bridge during the transition process from construction state to completed state, a scaled model (1:15) was prepared and tested. First, the cable anchorage system and cable measurement device were designed. Then, a series of model tests under the conditions of different preloading angles and different tensioning forces for hangers were carried out. Finally, the regularity of the torsional properties was revealed on the basis of the measured twist angle of the main cable. The experimental study shows that the transverse pre-deflected angle of the cable clamp has a decisive influence on the torsional angle of the main cable sections near the cable clamp, but for the main cable sections far from the pre-deflected cable clamp, this influence can almost be negligible. The torsional angle changes linearly within adjacent cable clamps. When inclined angle of the hanger is larger than the pre-deflected angle of the cable clamp, the cable clamp will cause the main cable section to twist in the positive direction, otherwise, the result is reverse. With the increase in the hanger force, the direction of hanger force passes through the cross-sectional center of the main cable, resulting in an unchanged twisting angle. In addition, a three-dimensional finite element model of the test specimen was established and used to analyze the influence of pre-deflected angle of a cable clamp on the torsion angle of the main cable, the same results can be found in finite element analyses in comparison with the test results. Therefore, a reasonable pre-deflected angle of cable clamp can be determined by the finite element model in the primary design state before the construction stage.

show abstract

Modelling torsion in an elastic cable in space

Cited by 17 publications

References 17 publications

A novel knot‐tying approach for minimally invasive surgical robot systems

A novel knot‐tying approach for minimally invasive surgical robot systems

On the identification of the axial force and bending stiffness of stay cables anchored to flexible supports

Experimental study on torsional behavior of spatial main cable for a self-anchored suspension bridge

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