اسم المؤلف
Ardeshir Guran, Friedrich Pfeiffer, Karl Popp
التاريخ
21 أكتوبر 2021
المشاهدات
336
التقييم
(لا توجد تقييمات)
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Dynamics with Friction Modeling, Analysis and Experiment – Part II
Editors
Ardeshir Guran
Institute of Structronics, Canada
Friedrich Pfeiffer
Technical University of Munich, Germany
Karl Popp
University of Hannover, Germany
Contents
Preface ix
Ardeshir Guran, Friedrich Pfeiffer and Karl Popp
Contributors xi
D Y N A M I C S W I T H F R I C T I O N : M O D E L I N G , A N A L Y S I S A N D
E X P E R I M E N T S , P A R T II
Chapter 1: Interaction of Vibration and Friction at D r y Sliding C o n t a c t s 1
Daniel P. Hess
- Introduction 1
- Normal Vibration and Friction at Hertzian Contacts 3
- Normal Vibration and Friction at Rough Planar Contacts 7
- Normal and Angular Vibrations at Rough Planar Contacts 9
- Stability Analysis 13
- Chaotic Vibration and Friction 20
- Conclusions 25
- References 26
Chapter 2: Vibrations and Friction-Induced Instability in Discs 29
John E. Mottershead - Introduction 29
- Disc Vibrations and Critical Speeds 30
2.1 Flexural vibrations 30
2.2 Vibration of a spinning membrane 32
2.3 Combined effects of centrifugal and flexural rigidity 33
2.4 Travelling waves and critical speeds 34
2.5 Imperfect discs 36 - Excitation by a Transverse-Spring-Damper System 39
3.1 Stationary disc with a rotating mass-spring-damper system 40
3.2 Rotating disc with a stationary mass-spring-damper system 45
3.3 Instability mechanisms 46 - Follower Force Friction Models 48
4.1 Follower force analysis in brake design 48
4.2 Sensitivity analysis 49
4.3 Distributed frictional load 50
4.4 Friction with a negative /z-velocity characteristic 51 - Friction-Induced Parametric Resonances 52
xiiixiv Contents
5.1 Discrete transverse load 53
5.1.1 Simulated example 57
5.2 Distributed load system 59
5.2.1 Simulated example 63 - Parametric Excitation by a Prictional Follower Force with a
Negative fi-Velocity Characteristic 66
6.1 Simulated example 70 - Closure 70
Acknowledgment 73
References 73
Chapter 3: Dynamics of Flexible Links in Kinematic Chains 75
Dan B. Marghitu and Ardeshir Guran - Introduction 75
- Kinematics and Kinetics of Flexible Bodies in General Motion 77
2.1 Small deformations 77
2.2 Large deformations 80 - Equations of Motion for Small Deformations in Rectilinear Elastic Links 81
- Equations of Motion for Large Deformations in Rectilinear Elastic Links 83
4.1 Planar equations of motion 84 - The Dynamics of Viscoelastic Links 85
5.1 Application 86
5.2 Computing algorithm 89 - The Vibrations of a Flexible Link with a Lubricated Slider Joint 89
6.1 Reynolds equation of lubrication 89
6.2 Cavitation 91
6.3 Solution method for an elastic link in a rigid mechanism 92
6.4 Application to a slider mechanism 94 - References 97
Chapter 4: Solitons, Chaos and Modal Interactions in Periodic Structures 99
M. A. Davies and F. C. Moon - Introduction 99
- Experiment 102
- Numerical Model 103
- Forced Vibrations and Modal Interactions 108
4.1 Numerical experiment — Modal trading 108
4.2 Forced vibrations of the experimental structure 110Contents xv - Impact Response 115
5.1 Comparison of experiment and model 115
5.2 Calculation of nonlinear wave speeds 119 - Conclusions 120
- Acknowledgments 122
- References 122
Chapter 5: Analysis and Modeling of an Experimental Frictionally
Excited B e a m 125
R. V. Kappagantu and B. F. Feeny - Introduction 125
- Experimental Setup 126
- Friction Measurement 128
- Displacement Measurement 133
4.1 From strain to displacement 133 - Dynamical Responses 135
- Proper Orthogonal Modes 138
- Mathematical Model 141
- Numerical Simulations and Validation 143
- Discussion and Elaboration 147
- Conclusions 150
- Acknowledgments 151
References 151
Chapter 6: Transient Waves in Linear Viscoelastic Media 155
Francesco Mainardi
Introduction 155 - Statement of the Problem by Laplace Transform 156
- The Structure of Wave Equations in the Space-Time Domain 159
- The Complex Index of Refraction: Dispersion and Attenuation 162
- The Signal Velocity and the Saddle-Point Approximation 167
- The Regular Wave-Front Expansion 172
- The Singular Wave-Front Expansion 178
Conclusions 186
Acknowledgments 186
References 186xvi Contents
Chapter 7: Dynamic Stability and Nonlinear Parametric Vibrations
of Rectangular Plates 191
G. L. Ostiguy - Introduction 191
- Theoretical Analysis 194
2.1 Analytical model 194
2.2 Basic equations 195
2.3 Boundary conditions 195
2.4 Method of solution 197 - Solution of the Temporal Equations of Motion 199
- Stationary Response 199
4.1 Principal parametric resonances 201
4.2 Simultaneous resonances 202
4.3 Combination resonances 203 - Nonstationary Responses 204
- Results and Discussion 205
Acknowledgments 222
References 223
Chapter 8: Friction Modelling and D y n a m i c C o m p u t a t i o n 227
J. P. Meijaard - Introduction 227
- Phenomenological Models 229
2.1 Models without memory effects 230
2.2 Models with memory effects 235
2.3 Stability of stationary sliding 236
2.4 Two-dimensional sliding 240 - Analysis of Systems of Several Rigid Bodies 240
3.1 Analysis of mechanical systems 240
3.2 Arch loaded by a horizontal base motion 244
3.3 Four-bar linkage under gravity loading 247
References 250
Chapter 9: Damping through Use of Passive and Semi-Active D r y
Friction Forces 253
Aldo A. Ferri - Introduction 253
- Passive Mechanisms 254Contents xvii
2.1 Background 254
2.2 Linear-Coulomb damping 256
2.3 Profiled block 265
2.4 Shock and vibration isolation 269
2.5 In-plane slip 273 - Semi-Active Friction 280
3.1 Semi-active damping 281
3.2 Semi-active friction damping in a SDOF system 282
3.3 Structural vibration control 283
3.4 Semi-active automative suspension 295 - Conclusions 297
- Acknowledgment 298
- References 298
Subject Index 309
Author Index
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