Dynamical Contact Problems with Friction (eBook)

Preface 5
Preface to the Second Edition 7
Contents 9
1 Introduction 11
1.1 Problem Description 11
1.2 Review 16
1.3 Aim of this Work 24
2 Dynamical Descriptions of Elastic Bodies 26
2.1 Kinematics of Elastic Bodies 26
2.2 Governing Equations for Linear Elasticity 28
2.3 Equation of Motion of an Elastic Body 31
2.4 Modal Description of Elastic Bodies 36
3 Contact Model 39
3.1 Contact Stiffnesses and Microscopic Contact 39
3.2 Limits of Application of the Contact Model 44
3.3 Mesoscopic Contact Laws for Rough Surfaces 48
3.4 Hyperbolic Contact Laws for Rough Surfaces 57
3.5 Experimental Validation of the Contact Laws 59
3.6 Friction Characteristics 61
3.7 Three-dimensional Point Contact Element 67
3.8 Microslip Effects due to Rough Surfaces 77
3.9 Wear of Rough Surfaces 84
4 Oscillators with Elastic Contact and Friction 88
4.1 System Description 88
4.2 Oscillator with Elastic Contact 91
4.3 Friction Oscillator 93
4.4 Bifurcations in Dynamical Systems with Friction 95
5 Friction Damping of Elastic Multibody Systems 100
5.1 Forced Vibrations of Elastic Structures 100
5.2 Macroscopic Contact Model 104
5.3 Experimental Validation of the Contact Model 113
5.4 Spin Pit Tests of Bladed Disc Assemblies 120
5.5 Optimization of Tuned Bladed Disc Assemblies with Friction Contacts 123
5.6 Vibration of Detuned Bladed Disc Assemblies with Friction Contacts 129
5.7 Elastic Multibody Systems with Extended Friction Contacts 135
6 Rolling Contact 137
6.1 Motivation 137
6.2 Normal Contact Kinematics 138
6.3 Tangential Contact Kinematics 142
6.4 Contact Stiffnesses 145
6.5 Generalized Contact Forces 150
6.6 Validation of the Rolling Contact Model 155
6.7 Contact Temperature Distribution 160
6.8 Wear Calculation 166
6.9 Wear of Railway Wheels 169
6.10 Instationary Rolling Contact Tyre-Road 170
7 Conclusions 174
References 177
Nomenclature 188
Index 191