Dynamical Contact Problems with Friction: Models, Methods, Experiments and Applications

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Springer Science & Business Media, Mar 6, 2007 - Technology & Engineering - 190 pages
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The aim of this book is to describe an efficient procedure to model dynamical contact problems with friction. This procedure is applied to different practical problems and verified by experiments.

Friction contacts are used to transmit forces or to dissipate energy. Examples for dynamical engineering systems with friction are brakes, machine tools, motors, turbines, bearings or wheel-rail systems. A better understanding of friction phenomena result in improvements like the reduction of noise and maintenance costs, increased life time of machines and improved energy efficiency. Dependent on the features of the dynamic system with friction contacts, different contact models and solution methods like multi-scaling methods are developed and applied.

 

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Contents

Introduction
1
12 Review
6
13 Aim of this Work
14
Dynamical Descriptions of Elastic Bodies
16
22 Governing Equations for Linear Elasticity
19
23 Equation of Motion of an Elastic Body
22
24 Modal Description of Elastic Bodies
27
Contact Model
31
52 Macroscopic Contact Model
97
53 Experimental Validation of the Contact Model
106
54 Spin Pit Tests of Bladed Disc Assemblies
113
55 Optimization of Tuned Bladed Disc Assemblies with Friction Contacts
116
56 Vibration of Detuned Bladed Disc Assemblies with Friction Contacts
122
57 Elastic Multibody Systems with Extended Friction Contacts
128
Rolling Contact
131
62 Normal Contact Kinematics
132

32 Limits of Application of the Contact Model
36
33 Mesoscopic Contact Laws for Rough Surfaces
40
34 Hyperbolic Contact Laws for Rough Surfaces
49
35 Experimental Validation of the Contact Laws
51
36 Friction Characteristics
53
37 Threedimensional Point Contact Element
59
38 Microslip Effects due to Rough Surfaces
69
39 Wear of Rough Surfaces
76
Oscillators with Elastic Contact and Friction
80
42 Oscillator with Elastic Contact
84
43 Friction Oscillator
86
44 Bifurcations in Dynamical Systems with Friction
88
Friction Damping of Elastic Multibody Systems
93
63 Tangential Contact Kinematics
136
64 Contact Stiffnesses
139
65 Generalized Contact Forces
144
66 Validation of the Rolling Contact Model
149
67 Contact Temperature Distribution
154
68 Wear Calculation
160
69 Wear of Railway Wheels
163
610 Instationary Rolling Contact TyreRoad
164
Conclusions
168
References
173
Nomenclature
184
Index
188
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