Dynamics With Friction: Modelling, Analysis and Experiment

✍ Scribed by Ardeshir Guran, Ardeshir Guran, Friedrich Pfeiffer, Karl Popp

• Publisher: World Scientific Publishing Company
• Year: 2001
• Tongue: English
• Leaves: 329
• Series: Series on Stability, Vibration and Control of Systems, Series B, Vol 7) (Pt. 2
• Edition: illustrated edition
• Category: Library

✦ Synopsis

The dynamics of dissipative mechanical and structural systems is being investigated at various institutions and laboratories worldwide with ever-increasing sophistication of modeling, analysis and experiments.This book offers a collection of contributions from these research centers that represent the state-of-the-art in the study of friction oscillators. It provides the reader with the fruits of a team effort by leaders in this fascinating field.

The present part II of this volume on Dynamics with Friction is a continuation of the previous part I, and is designed to help synthesize our current knowledge regarding the role of friction in mechanical and structural systems as well as everyday life. The topics covered include interaction of vibration and friction at dry sliding contacts, friction-induced instability in disks, dynamics of lubricated flexible links in kinematic chains, modal interactions in periodic structures, dynamics of an experimentally excited beam, transient waves in viscoelastic materials, dynamic stability of plates with damping, friction modeling and dynamic computation, damping through use of passive and semi-active dry friction forces.

This book gives a comprehensive picture of dynamics of dissipative mechanical and structural systems. It also gives an up-to-date account of the present state of the field. It will be of interest to engineers, rheologists, material scientists, applied mathematicians, physicists and historians of science and technology.

✦ Table of Contents

Preface......Page 10
Contributors......Page 12
Contents......Page 14
1. Introduction......Page 20
2. Normal Vibration and Friction at Hertzian Contacts......Page 22
3. Normal Vibration and Friction at Rough Planar Contacts......Page 26
4. Normal and Angular Vibrations at Rough Planar Contacts......Page 28
5. Stability Analysis......Page 32
6. Chaotic Vibration and Friction......Page 39
7. Conclusions......Page 44
8. References......Page 45
1. Introduction......Page 48
2. Disc Vibrations and Critical Speeds......Page 49
3. Excitation by a Transverse-Spring-Damper System......Page 58
4. Follower Force Friction Models......Page 67
5. Friction-Induced Parametric Resonances......Page 71
6. Parametric Excitation by a Frictional Follower Force with a Negative u-Velocity Characteristic......Page 85
7. Closure......Page 89
References......Page 92
1. Introduction......Page 94
2. Kinematics and Kinetics of Flexible Bodies in General Motion......Page 96
3. Equations of Motion for Small Deformations in Rectilinear Elastic Links......Page 100
4. Equations of Motion for Large Deformations in Rectilinear Elastic Links......Page 102
5. The Dynamics of Viscoelastic Links......Page 104
6. The Vibrations of a Flexible Link with a Lubricated Slider Joint......Page 108
7. References......Page 116
1. Introduction......Page 118
2. Experiment......Page 121
3. Numerical Model......Page 122
4. Forced Vibrations and Modal Interactions......Page 127
5. Impact Response......Page 134
6. Conclusions......Page 139
8. References......Page 141
1. Introduction......Page 144
2. Experimental Setup......Page 145
3. Friction Measurement......Page 147
4. Displacement Measurement......Page 152
5. Dynamical Responses......Page 154
6. Proper Orthogonal Modes......Page 157
7. Mathematical Model......Page 160
8. Numerical Simulations and Validation......Page 162
9. Discussion and Elaboration......Page 166
10. Conclusions......Page 169
References......Page 170
Introduction......Page 174
1. Statement of the Problem by Laplace Transform......Page 175
2. The Structure of Wave Equations in the Space-Time Domain......Page 178
3. The Complex Index of Refraction: Dispersion and Attenuation......Page 181
4. The Signal Velocity and the Saddle-Point Approximation......Page 186
5. The Regular Wave-Front Expansion......Page 191
6. The Singular Wave-Front Expansion......Page 197
References......Page 205
1. Introduction......Page 210
2. Theoretical Analysis......Page 213
4. Stationary Response......Page 218
5. Nonstationary Responses......Page 223
6. Results and Discussion......Page 224
Acknowledgments......Page 241
References......Page 242
1. Introduction......Page 246
2. Phenomenological Models......Page 248
3. Analysis of Systems of Several Rigid Bodies......Page 259
References......Page 269
1. Introduction......Page 272
2. Passive Mechanisms......Page 273
3. Semi-Active Friction......Page 299
4. Conclusions......Page 316
6. References......Page 317
ABOUT THE EDITORS......Page 328