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E-book
Author Leech, C. M., author

Title The modelling and analysis of the mechanics of ropes / C.M. Leech
Published Dordrecht ; New York : Springer, [2014]
©2014
Table of Contents
1.Introduction1
1.1.Background1
1.2.Outline of Following Chapters2
1.3.Closure3
2.Fibre Geometry and Fibre Mechanics5
2.1.Introduction5
2.2.Fibre Dimensionality6
2.3.Fibre Properties9
2.3.1.Fibre Size10
2.3.2.Fibre Weight10
2.3.3.Fibre Material Stress---Strain Behaviour10
2.4.Primary Deformation, Extension13
2.4.1.Polynomial Approximations14
2.4.2.Strain Energy15
2.5.Anelasticity16
2.5.1.Viscoelasticity16
2.5.2.Linear Viscoelasticity17
2.5.3.Nonlinear Viscoelasticity20
2.5.4.Large Strain Rate Modelling for Polymer Fibres23
2.5.5.Hysteresis24
2.5.6.Creep and Relaxation27
2.6.Secondary Deformations30
2.6.1.Fibre Torsion31
2.6.2.Fibre Flexure32
2.7.Strain Energy or the Energy of Deformation35
 References36
3.Component Path Geometries37
3.1.Curves in Space37
3.1.1.General Path Geometry37
3.1.2.Geometry Preserving Structures39
3.2.The Helical Structure40
3.2.1.The Helix Geometry40
3.2.2.Extensional and Twist Deformations41
3.2.3.Flexure in Helical Components42
3.2.4.The Partitioning of Strain Energy43
 Reference46
4.Transversely Continuous Structures47
4.1.Geometrically Preserving Structures48
4.1.1.The Assembly of Transversely Continuous Structures48
4.1.2.The Straining of Transversely Continuous Structures50
4.1.3.The Loading of Transversely Continuous Structures53
4.1.4.An Analytic Result for Strain Energy53
4.1.5.The Principle of Virtual Work for Transversely Continuous Structures54
4.1.6.The Progressive Failure of Transversely Continuous Structures55
4.2.Parallel Structures, Variability57
 References59
5.Hierarchical Structures61
5.1.Component Terminology61
5.2.Normalisation of Hierarchical Structures64
 References65
6.Transversely Discrete Structures67
6.1.Numerous Small Component Structures67
6.1.1.The Hierarchical Tree68
6.1.2.The Assembly of Transversely Discrete Structures69
6.1.3.The Straining of Transversely Discrete Structures70
6.1.4.The Principle of Virtual Work for Transversely 
 Discrete Structures71
6.2.Component Geometries72
6.2.1.The Assembly of Large Component Structures73
6.2.2.The Loading of Large Component Structures77
6.3.Tubular Woven Geometries: Braiding and Plaits78
6.3.1.The Geometry of Braids and Plaits80
6.4.Bending of Helical Structures83
6.4.1.General Kinematics Associated with Bent Structures83
6.4.2.No Slip (Friction) Bending84
6.4.3.Geodesic (No Friction) Bending85
 References89
7.Contact Force and Friction91
7.1.Contact Forces and Pressures92
7.2.Friction and Relative Slip: Inter Modes94
7.2.1.Mode 1: Axial Slip95
7.2.2.Mode 2: Component Twist98
7.2.3.Mode 3: Scissoring100
7.2.4.Mode 4: Sawing103
7.2.5.Transition Between the Sliding Modes105
7.3.Component Transverse Deformation and Set: Intra Modes106
7.3.1.Dilation Measure, Ξ and Packing Factor Pf107
7.3.2.Distortion Measure, Ω108
7.3.3.The Set in Distortion and Dilation108
7.3.4.The Energy of Dilation and Distortion111
7.3.5.The Continuum Model112
 References113
8.Component Wear, Life and Heating115
8.1.The Work Done by Relative Motion Between Components115
8.2.The Friction Parameters116
8.3.Wear117
8.4.Steady State or Equilibrium Temperature, Surface Heat Convection117
 References119
 About the Author121
 Appendix123

Copies

Description 1 online resource (xi, 123 pages) : illustrations (some color)
Series Solid mechanics and its applications ; volume 209
Solid mechanics and its applications ; v. 209.
Contents 880-01 1 Introduction -- 2 Fibre Geometry and Fibre Mechanics -- 3 Component Path Geometries -- 4 Transversely Continuous Structures -- 5 Hierarchical Structures -- 6 Transversely Discrete Structures -- 7 Contact Force and Friction -- 8 Component Wear, Life and Heating -- Appendix -Tentative Scaling Relations
880-01/(S Machine generated contents note: 1. Introduction -- 1.1. Background -- 1.2. Outline of Following Chapters -- 1.3. Closure -- 2. Fibre Geometry and Fibre Mechanics -- 2.1. Introduction -- 2.2. Fibre Dimensionality -- 2.3. Fibre Properties -- 2.3.1. Fibre Size -- 2.3.2. Fibre Weight -- 2.3.3. Fibre Material Stress---Strain Behaviour -- 2.4. Primary Deformation, Extension -- 2.4.1. Polynomial Approximations -- 2.4.2. Strain Energy -- 2.5. Anelasticity -- 2.5.1. Viscoelasticity -- 2.5.2. Linear Viscoelasticity -- 2.5.3. Nonlinear Viscoelasticity -- 2.5.4. Large Strain Rate Modelling for Polymer Fibres -- 2.5.5. Hysteresis -- 2.5.6. Creep and Relaxation -- 2.6. Secondary Deformations -- 2.6.1. Fibre Torsion -- 2.6.2. Fibre Flexure -- 2.7. Strain Energy or the Energy of Deformation -- References -- 3. Component Path Geometries -- 3.1. Curves in Space -- 3.1.1. General Path Geometry -- 3.1.2. Geometry Preserving Structures -- 3.2. Helical Structure -- 3.2.1. Helix Geometry -- 3.2.2. Extensional and Twist Deformations -- 3.2.3. Flexure in Helical Components -- 3.2.4. Partitioning of Strain Energy -- Reference -- 4. Transversely Continuous Structures -- 4.1. Geometrically Preserving Structures -- 4.1.1. Assembly of Transversely Continuous Structures -- 4.1.2. Straining of Transversely Continuous Structures -- 4.1.3. Loading of Transversely Continuous Structures -- 4.1.4. Analytic Result for Strain Energy -- 4.1.5. Principle of Virtual Work for Transversely Continuous Structures -- 4.1.6. Progressive Failure of Transversely Continuous Structures -- 4.2. Parallel Structures, Variability -- References -- 5. Hierarchical Structures -- 5.1. Component Terminology -- 5.2. Normalisation of Hierarchical Structures -- References -- 6. Transversely Discrete Structures -- 6.1. Numerous Small Component Structures -- 6.1.1. Hierarchical Tree -- 6.1.2. Assembly of Transversely Discrete Structures -- 6.1.3. Straining of Transversely Discrete Structures -- 6.1.4. Principle of Virtual Work for Transversely -- Discrete Structures -- 6.2. Component Geometries -- 6.2.1. Assembly of Large Component Structures -- 6.2.2. Loading of Large Component Structures -- 6.3. Tubular Woven Geometries: Braiding and Plaits -- 6.3.1. Geometry of Braids and Plaits -- 6.4. Bending of Helical Structures -- 6.4.1. General Kinematics Associated with Bent Structures -- 6.4.2. No Slip (Friction) Bending -- 6.4.3. Geodesic (No Friction) Bending -- References -- 7. Contact Force and Friction -- 7.1. Contact Forces and Pressures -- 7.2. Friction and Relative Slip: Inter Modes -- 7.2.1. Mode 1: Axial Slip -- 7.2.2. Mode 2: Component Twist -- 7.2.3. Mode 3: Scissoring -- 7.2.4. Mode 4: Sawing -- 7.2.5. Transition Between the Sliding Modes -- 7.3. Component Transverse Deformation and Set: Intra Modes -- 7.3.1. Dilation Measure, Ξ and Packing Factor Pf -- 7.3.2. Distortion Measure, Ω -- 7.3.3. Set in Distortion and Dilation -- 7.3.4. Energy of Dilation and Distortion -- 7.3.5. Continuum Model -- References -- 8. Component Wear, Life and Heating -- 8.1. Work Done by Relative Motion Between Components -- 8.2. Friction Parameters -- 8.3. Wear -- 8.4. Steady State or Equilibrium Temperature, Surface Heat Convection -- References
Summary This book considers the modelling and analysis of the many types of ropes, linear fibre assemblies. The construction of these structures is very diverse and in the work these are considered from the modelling point of view. As well as the conventional twisted structures, braid and plaited structures and parallel assemblies are modelled and analysed, first for their assembly and secondly for their mechanical behaviour. Also since the components are assemblies of components, fibres into yarns, into strands, and into ropes the hierarchical nature of the construction is considered. The focus of the modelling is essentially toward load extension behaviour but there is reference to bending of ropes, encompassed by the two extremes, no slip between the components and zero friction resistance to component slip. Friction in ropes is considered both between the rope components, sliding, sawing and scissoring, and within the components, dilation and distortion, these latter modes being used to model component set, the phenomenon instrumental in rope proofing. The exploitation of the modelling is closed by the suggested modelling and analysis of component wear and life limitation and also of rope steady state heating. These will require extensive experimentation to extract the necessary coefficients, achievable by parallel testing of prototypes and similar structures. This development is focused on the modelling and analysis of ropes and other similar structures. All the modelling is based on the Principle of Virtual Work and admissible modes of deformation. Finally this book is directed towards the various industries involved in design, manufacture anduse of ropes, stays and other similar structures
Bibliography Includes bibliographical references
Notes Online resource; title from PDF (ebrary, viewed January 6, 2014)
Subject Fibers.
Textile fibers.
fiber.
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Ingénierie.
Fibers
Textile fibers
Form Electronic book
ISBN 9789400778412
9400778414
9400778406
9789400778405