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Advanced Tire Mechanics.
Yazar: | |
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Materyal Türü: | e-Kitap |
Dil: | İngilizce |
Baskı/Yayın Bilgisi: |
Singapore :
Springer Singapore Pte. Limited,
2019.
|
Edisyon: | 1st ed. |
Konular: | |
Online Erişim: | Full-text access OPAC'ta görüntüle |
İçindekiler:
- Intro
- Preface
- References
- Contents
- 1 Unidirectional Fiber-Reinforced Rubber
- 1.1 Composite Materials Used for Tires
- 1.2 Stress/Strain Relationship
- 1.3 Mechanics of a Composite
- 1.3.1 Plane Stress
- 1.3.2 Transformation of Strain Between Two Coordinate Systems
- 1.3.3 Constitutive Equation (Hook's Law)
- 1.3.4 Representation of the Stiffness Matrix Using Invariants
- 1.3.5 Properties of a Composite in an Arbitrary Direction
- 1.4 Micromechanics
- 1.4.1 Parallel and Series Models
- 1.4.2 Modified Micromechanics
- 1.4.3 Upper and Lower Bounds of the Modulus of Composites
- 1.4.4 Halpin-Tsai Model
- 1.5 Micromechanics of Unidirectionally Cord-Reinforced Rubber (UDCRR)
- 1.5.1 Models for UDCRR
- 1.5.2 Comparison of the Micromechanics Model for Fiber-Reinforced Rubber
- 1.6 Mechanics of UDCRR Under an FRR Approximation
- 1.6.1 Approximate Equations for UDCRR
- 1.6.2 Properties of UDCRR in an Arbitrary Direction
- 1.6.3 Particular Angle for UDCRR
- 1.6.4 Comparison of Micromechanics and Experimental Results
- 1.7 Viscoelastic Properties of a UDCRR Plate
- 1.7.1 Studies on the Viscoelastic Properties of a UDCRR Plate
- 1.7.2 Analytical Damping Model
- 1.7.3 Finite Element Model for Viscoelastic Properties
- 1.8 Mechanics of Short-Fiber-Reinforced Rubber (SFRR)
- 1.8.1 Micromechanics of SFRR
- 1.8.2 Modulus of SFRR in an Arbitrary Direction
- 1.8.3 Viscoelastic Properties of SFRR
- Appendix: Viscoelasticity
- Notes
- References
- 2 Lamination Theory
- 2.1 CLT
- 2.1.1 Coordinate System for Laminates and Representation of the Laminate Configuration
- 2.1.2 CLT
- 2.2 Properties of a Symmetric Laminate
- 2.2.1 Constitutive Equation of a Symmetric Laminate
- 2.2.2 In-Plane Stiffness of a Symmetric Laminate
- 2.2.3 Bending Properties of a Symmetric Laminate
- 2.3 Properties of a Bias Laminate.
- 2.3.1 Stiffness of a Bias Laminate
- 2.3.2 In-Plane and Out-of-Plane Coupling Deformation of a Bias Laminate
- 2.3.3 FRR Approximation for a Bias Laminate
- 2.3.4 Comparison of CLT and Experimental Results for a Bias Laminate
- 2.3.5 Viscoelastic Properties of a Bias Laminate
- 2.4 Optimization of the Belt Structure of a Tire
- 2.4.1 Computer-Aided Composite Design
- 2.4.2 Optimization of the Belt Construction Through Mathematical Programming
- 2.4.3 Optimization of the Belt Construction Using a GA
- Notes
- References
- 3 Modified Lamination Theory
- 3.1 Introduction
- 3.2 MLT of a Two-Ply Laminate Without Out-of-Plane Coupling Deformations (Symmetric Four-Ply Laminate)
- 3.2.1 Fundamental Equations
- 3.2.2 Analysis of a Bias Laminate Under Uniform Stress and Displacement
- 3.2.3 Analysis of FRR
- 3.3 MLT of a Two-Ply Laminate Including Transverse Stress Without Out-of-Plane Coupling Deformation (Symmetric Four-Ply Laminate)
- 3.3.1 Fundamental Equations of the MLT of a Two-Ply Laminate Including Transverse Stress Without Out-of-Plane Coupling Deformation
- 3.3.2 Comparison of CLT and MLT and a Parameter Study on the Interlaminar Shear Strain of UDCRR
- 3.4 MLT of a Two-Ply Laminate with Coupling Deformation
- 3.4.1 MLT for a Two-Ply Laminate with Coupling Deformation
- 3.4.2 Fundamental Equations of MLT for a Two-Ply Laminate with Coupling Deformation
- 3.4.3 Bias Belt Under Uniaxial Uniform Displacement
- 3.5 MLT for In-plane Bending
- 3.5.1 Fundamental Equations
- 3.5.2 Comparison Between Theory and Experiment
- 3.6 MLT of Three-Ply with Coupling Deformation
- 3.6.1 Fundamental Equations
- 3.6.2 In-plane Bending Properties of the Folded Belt of a Tire
- 3.7 MLT of Out-of-Plane Torsional Rigidity of a Bias Belt
- 3.7.1 Fundamental Equations
- 3.7.2 Comparison Between Theory and Experiment.
- 3.8 MLT of the Buckling of a Two-Ply Bias Belt Under an In-plane Bending Moment
- 3.8.1 Buckling of a Two-Ply Bias Belt Under an In-plane Bending Moment
- 3.8.2 Fundamental Equations for the Buckling of a Tire Belt Under an In-plane Bending Moment
- 3.8.3 Buckling Analysis of Passenger-Car Tires Under an In-plane Bending Moment
- 3.8.4 Simplified Equation for Buckling Analysis of Passenger-Car Tires Under an in-Plane Bending Moment
- 3.9 MLT of the Buckling of a Two-Ply Bias Belt Under a Compressive Force
- 3.9.1 MLT of the Buckling of a Two-Ply Bias Belt Under a Compressive Force
- 3.9.2 Buckling Analysis of Passenger-Car Tires Under a Compressive Force
- Appendix: Beam Theory for a Tire Belt Under Buckling Caused by an In-plane Bending Moment
- Notes
- References
- 4 Discrete Lamination Theory
- 4.1 DLT of a Two-Ply Bias Belt with Out-of-Plane Coupling Deformation Under an Extensional Load
- 4.1.1 Fundamental Equations for DLT
- 4.1.2 Displacements in DLT
- 4.1.3 Strain Energy of Parts of a Two-Ply Bias Laminate
- 4.1.4 Stationary Condition of Total Strain Energy
- 4.1.5 Solution of the Differential Equation for Two-Ply Bias Laminate
- 4.1.6 Determination of Integral Constants by Boundary Conditions
- 4.1.7 Equivalent Young's Modulus for a Two-Ply Bias Laminate
- 4.1.8 Interlaminar Shear Stress and Interfacial Shear Stress
- 4.1.9 Analysis of a Two-Ply Bias Laminate Using DLT
- 4.2 DLT of a Two-Ply Bias Belt Without Out-of-Plane Coupling Deformation Under a Bending Moment
- 4.2.1 Displacements of DLT
- 4.2.2 Strain Energies of the Cord and Rubber
- 4.2.3 Stationary Condition and Natural Boundary Conditions
- 4.2.4 Solution to the Differential Equation for a Two-Ply Bias Laminate
- 4.2.5 Analysis of a Two-Ply Bias Laminate Using DLT.
- 4.3 FEA Using a Discrete Model of a Two-Ply Bias Laminate Without Out-of-Plane Coupling Deformation
- Appendix 1: Parameters in Equations for a Two-Ply Bias Belt Under an Extensional Load
- Appendix 2: Parameters in Equations for a Two-Ply Bias Belt Under a Bending Moment
- Notes
- References
- 5 Theory of Tire Shape
- 5.1 Studies on Tire Shape
- 5.2 Theory of the Natural Equilibrium Shape Based on Netting Theory
- 5.2.1 Fundamental Equations for the Natural Equilibrium Shape Based on Netting Theory
- 5.2.2 Natural Equilibrium Shape with the Cord Path of Pantograph Deformation
- 5.2.3 Natural Equilibrium Shapes of Bias Tires
- 5.2.4 Natural Equilibrium Shape of Radial Tires Without a Belt
- 5.2.5 Natural Equilibrium Shape with the Cord Path of the Geodesic Line
- 5.2.6 Natural Equilibrium Shapes with Other Cord Paths
- 5.2.7 Natural Equilibrium Shape of Bias Tires Under a Centrifugal Force
- 5.3 Effects of the Tire Shape on Tire Properties
- 5.3.1 Effect of the Tire Shape on Cord Tension
- 5.3.2 Effect of Tire Shape on Bead Tension
- 5.3.3 Effect of Tire Shape on the Interlaminar Shear Stress of Bias Tires
- 5.4 Theory of the Natural Equilibrium Shape for Belted Radial Tires
- 5.4.1 Fundamental Equations for Belted Radial Tires Having a Uniform Partition of Pressure
- 5.4.2 Cord Lengths of Belted Radial Tires
- 5.5 General Theory for the Shape of Belted Tires
- 5.5.1 General Equation of the Natural Equilibrium Shape for Belted Tires
- 5.5.2 Tire Shape of Belted Radial Tires with Partitioned Pressure in Both Crown and Bead Areas
- 5.6 Nonequilibrium Tire Shape
- 5.6.1 Application of the Nonequilibrium Tire Shape to Passenger-Car Tires
- 5.6.2 Application of the Nonequilibrium Tire Shape to Truck/Bus Tires
- 5.7 Ultimate Theory of the Tire Sidewall Shape
- 5.7.1 Theory of Optimization.
- 5.7.2 Application and Validation of GUTT
- Appendix: Equation of the Tire Shape for the Partitioned Tire Pressure of the Belt Given by Eq. (5.108)
- Notes
- References
- 6 Spring Properties of Tires
- 6.1 Tire Spring of a Simple Tire Model
- 6.1.1 Spring Properties of Tires
- 6.1.2 Radial Fundamental Spring Rate
- 6.1.3 Lateral Fundamental Spring Rate
- 6.1.4 Circumferential Fundamental Spring Rate
- 6.1.5 Contribution of Structural and Tensile Stiffness to the Vertical Spring Rate
- 6.2 Tire Spring Rates of the Rigid Ring Model
- 6.2.1 Torsional Spring Rate
- 6.2.2 Lateral Spring Rate
- 6.2.3 Eccentric Spring Rate of the Rigid Ring Model
- 6.2.4 In-Plane Rotational Spring Rate
- 6.2.5 Fore-Aft Spring Rate of the Rigid Ring Model
- 6.2.6 Measurement Procedure for Fundamental Spring Rates and Tire Spring Rates
- 6.3 Tire Spring Rates of the Flexural Ring Model
- 6.3.1 Lateral Spring Rate of a Tire with a Flexural Ring
- 6.3.2 Torsional Spring Rate of a Tire with a Flexural Ring
- 6.4 Fundamental Spring Rates Based on the Equilibrium Shape of Belted Radial Tires
- 6.4.1 Theory of Tire Shape
- 6.4.2 Lateral Fundamental Spring Rate
- 6.4.3 Circumferential Fundamental Spring Rate
- 6.4.4 Radial Fundamental Spring Rate
- 6.5 Modification of Yamazaki's Model
- 6.5.1 Modification of Yamazaki's Model
- 6.5.2 Contribution of Bending and Extensional Deformation of the Sidewall Material to Fundamental Spring Rates
- 6.6 Line Spring Rate
- 6.7 Visualization of the Spring Rate
- Notes
- References
- 7 Mechanics of the Tread Pattern
- 7.1 Shear Spring Rate of the Tire Block Pattern
- 7.1.1 Fundamental Equations for an Analytical Approach
- 7.1.2 Calculation of the Block Rigidity of a Practical Block Pattern
- 7.1.3 Comparison of Prediction and Measurement Results
- 7.1.4 FEA Approaches for Block Rigidity.
- 7.2 Compressive Modulus of a Bonded Rubber Block.