19—capstan Friction for Polymer Monofilaments With Rigidity

Grosberg, P.; Plate, D. E. A.

doi:10.1080/00405006908629926

Cited by 14 publications

(15 citation statements)

References 12 publications

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“…Two types of friction measurements of tows or fibres are proposed in the literature [5][6][7]: tow or fibre against tow or fibre, respectively, or tow or fibre against another material. The method used in the case of the friction between a single fibre or tow and another material is the capstan method (from Jean Bernoulli, eighteenth century) [8][9][10]. For fibre-fibre or tow-tow friction measurement, two kinds of contacts are proposed: (i) point contact, where the tows (yarns) or fibres are crossed together, and (ii) linear contact, where the tows or fibres are twisted together.…”

Section: Introductionmentioning

confidence: 99%

Friction of carbon tows and fine single fibres

Tourlonias

Bueno

Poquillon

2017

Composites Part A: Applied Science and Manufacturing

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The aim of this study conducted on carbon tows and single fibres is to highlight some friction behaviours to help better understand the friction mechanisms that occur during the manufacture of carbon composites. These mechanisms are responsible for damage that reduces the specifications and lifetime of mechanical parts. An experiment has been developed in order to rub together two carbon tows, or two single carbon fibres (with a diameter down to 5 mm), at an angle of 90°. The influences of friction velocity, normal load, and type of carbon fibre have been studied. For both tows and fibres the friction follows the Coulomb's law because there is no influence of the velocity and the normal load in the tested range. The rearrangement of fibres within the tow has been shown to be fundamental. For the single fibre, the role of the Young's modulus and the sizing treatment is important.

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Section: Introductionmentioning

confidence: 99%

Friction of carbon tows and fine single fibres

Tourlonias

Bueno

Poquillon

2017

Composites Part A: Applied Science and Manufacturing

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“…While performing experiments using the capstan method on monofilaments, Grossberg and Plate [10] found that the rigidity of the fiber greatly influences the coefficient of friction of the fiber and the difference in the coefficient varies more with a higher value of n, in the equation F = aR n . Hence the rigidity of the fiber should be taken into account before making any comparison of frictional properties of different fibers tested using the capstan method.…”

Section: Line Contact Methodsmentioning

confidence: 99%

Role of Fiber Finish in the Conversion of Fiber to Nonwovens — Part 1: Need for an Unconventional Method to Evaluate Finish Performance as a Mechanical Process Aid

Seyam

2001

International Nonwovens Journal

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The processing of fibers in a free, non-bound state gives rise to a range of frictional behavior for a given process. The basic laws of fiber friction are reviewed. The finish treatment to the fibers mainly act as a lubricant and anti static agent. A critical review of the requirements of the finish treatment and the methods used to evaluate fiber friction and static charge generation are presented. The requirements of the finish treatment with respect to carding and needlepunching are also discussed. The ineffectiveness of conventional methods to evaluate performance of finish in such process and the need to measure performance of finish and optimize it for each of these processes is highlighted. Methods to evaluate the finish performance in carding and needlepunching will be presented in Parts 2 and 3.

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“…The classic capstan problem is often introduced in undergraduate mechanics to demonstrate the role of friction in limiting equilibrium of flexible bodies [1][2][3][4]. In addition to its pedagogical significance, the problem has found relevance in several diverse domains of engineering, such as textile engineering [5][6][7][8][9], theory of power transmission by belts [10][11][12][13][14][15][16], design of surgical robots [17][18][19], analysis of musical instruments [20], and even the mechanics of the DNA molecule [21]. Despite its wide use in engineering design with conservative values of the friction coefficient [10], it has long been known that equation (1) is not adequately ratified by experiments [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Planar equilibria of an elastic rod wrapped around a circular capstan

Singh

2022

Preprint

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We present a study on planar equilibria of a terminally loaded elastic rod wrapped around a rigid circular capstan. Both frictionless and frictional contact between the rod and the capstan are considered. We identify three cases of frictionless contact -namely where the rod touches the capstan at one point, along a continuous arc, and at two points. We show that, in contrast to a fully flexible filament, an elastic rod of finite length wrapped around a capstan does not require friction to support unequal loads at its two ends. Furthermore, we classify rod equilibria corresponding to the three aforementioned cases in a limit where the length of the rod is much larger than the radius of the capstan. In the same limit, we incorporate frictional interaction between the rod and the capstan, and compute limiting equilibria of the rod. Our solution to the frictional case fully generalizes the classic capstan problem to include the effects of finite thickness and bending elasticity of a flexible filament wrapped around a circular capstan.

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19—capstan Friction for Polymer Monofilaments With Rigidity

Cited by 14 publications

References 12 publications

Friction of carbon tows and fine single fibres

Friction of carbon tows and fine single fibres

Role of Fiber Finish in the Conversion of Fiber to Nonwovens — Part 1: Need for an Unconventional Method to Evaluate Finish Performance as a Mechanical Process Aid

Planar equilibria of an elastic rod wrapped around a circular capstan

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