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Active and Passive Vibration Damping Vital Source e-bog

Amr M. Baz
(2018)
John Wiley & Sons
1.216,00 kr.
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Active and Passive Vibration Damping

Active and Passive Vibration Damping

Amr M. Baz
(2019)
Sprog: Engelsk
John Wiley & Sons, Incorporated
1.243,00 kr.
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Detaljer om varen

  • 1. Udgave
  • Vital Source searchable e-book (Reflowable pages)
  • Udgiver: John Wiley & Sons (December 2018)
  • ISBN: 9781118537602
A guide to the application of viscoelastic damping materials to control vibration and noise of structures, machinery, and vehicles Active and Passive Vibration Damping is a practical guide to the application of passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles. The author — a noted expert on the topic — presents the basic principles and reviews the potential applications of passive and active vibration damping technologies. The text presents a combination of the associated physical fundamentals, governing theories and the optimal design strategies of various configurations of vibration damping treatments. The text presents the basics of various damping effective treatments such as constrained layers, shunted piezoelectric treatments, electromagnetic and shape memory fibers. Classical and new models are included as well as aspects of viscoelastic materials models that are analyzed from the experimental characterization of the material coefficients as well as their modeling. The use of smart materials to augment the vibration damping of passive treatments is pursued in depth throughout the book. This vital guide: Contains numerical examples that reinforce the understanding of the theories presented Offers an authoritative text from an internationally recognized authority and pioneer on the subject Presents, in one volume, comprehensive coverage of the topic that is not available elsewhere Presents a mix of the associated physical fundamentals, governing theories and optimal design strategies of various configurations of vibration damping treatments Written for researchers in vibration damping and research, engineers in structural dynamics and practicing engineers, Active and Passive Vibration Damping offers a hands-on resource for applying passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles.
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Detaljer om varen

  • Hardback: 752 sider
  • Udgiver: John Wiley & Sons, Incorporated (April 2019)
  • ISBN: 9781118481929

A guide to the application of viscoelastic damping materials to control vibration and noise of structures, machinery, and vehicles

Active and Passive Vibration Damping is a practical guide to the application of passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles. The author -- a noted expert on the topic -- presents the basic principles and reviews the potential applications of passive and active vibration damping technologies. The text presents a combination of the associated physical fundamentals, governing theories and the optimal design strategies of various configurations of vibration damping treatments.

The text presents the basics of various damping effective treatments such as constrained layers, shunted piezoelectric treatments, electromagnetic and shape memory fibers. Classical and new models are included as well as aspects of viscoelastic materials models that are analyzed from the experimental characterization of the material coefficients as well as their modeling. The use of smart materials to augment the vibration damping of passive treatments is pursued in depth throughout the book. This vital guide:

  • Contains numerical examples that reinforce the understanding of the theories presented
  • Offers an authoritative text from an internationally recognized authority and pioneer on the subject
  • Presents, in one volume, comprehensive coverage of the topic that is not available elsewhere
  • Presents a mix of the associated physical fundamentals, governing theories and optimal design strategies of various configurations of vibration damping treatments

Written for researchers in vibration damping and research, engineers in structural dynamics and practicing engineers, Active and Passive Vibration Damping offers a hands-on resource for applying passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles.

Preface xvii List of Symbols xxi Abbreviations xxxi
Part I Fundamentals of Viscoelastic Damping 1 1 Vibration Damping 3
1.1 Overview 3
1.2 Passive, Active, and Hybrid Vibration Control 3
1.2.1 Passive Damping 3
1.2.1.1 Free and Constrained Damping Layers 3
1.2.1.2 Shunted Piezoelectric Treatments 4
1.2.1.3 Damping Layers with Shunted Piezoelectric Treatments 5
1.2.1.4 Magnetic Constrained Layer Damping (MCLD) 5
1.2.1.5 Damping with Shape Memory Fibers 6
1.2.2 Active Damping 6
1.2.3 Hybrid Damping 7
1.2.3.1 Active Constrained Layer Damping (ACLD) 7
1.2.3.2 Active Piezoelectric Damping Composites (APDC) 7
1.2.3.3 Electromagnetic Damping Composites (EMDC) 8
1.2.3.4 Active Shunted Piezoelectric Networks 8
1.3 Summary 9 References 9 2 Viscoelastic Damping 11
2.1 Introduction 11
2.2 Classical Models of Viscoelastic Materials 11
2.2.1 Characteristics in the Time Domain 11
2.2.2 Basics for Time Domain Analysis 12
2.2.3 Detailed Time Response of Maxwell and Kelvin-Voigt Models 14
2.2.4 Detailed Time Response of the Poynting-Thomson Model 17
2.3 Creep Compliance and Relaxation Modulus 20
2.3.1 Direct Laplace Transformation Approach 22
2.3.2 Approach of Simultaneous Solution of a Linear Set of Equilibrium, Kinematic, and Constitutive Equations 23
2.4 Characteristics of the VEM in the Frequency Domain 25
2.5 Hysteresis and Energy Dissipation Characteristics of Viscoelastic Materials 27
2.5.1 Hysteresis Characteristics 27
2.5.2 Energy Dissipation 28
2.5.3 Loss Factor 28
2.5.3.1 Relationship between Dissipation and Stored Elastic Energies 28
2.5.3.2 Relationship between Different Strains 29
2.5.4 Storage Modulus 29
2.6 Fractional Derivative Models of Viscoelastic Materials 32
2.6.1 Basic Building Block of Fractional Derivative Models 32
2.6.2 Basic Fractional Derivative Models 33
2.6.3 Other Common Fractional Derivative Models 36
2.7 Viscoelastic versus Other Types of Damping Mechanisms 38
2.8 Summary 40 References 40 3 Characterization of the Properties of Viscoelastic Materials 57
3.1 Introduction 57
3.2 Typical Behavior of Viscoelastic Materials 57
3.3 Frequency Domain Measurement Techniques of the Dynamic Properties of Viscoelastic Material 59
3.3.1 Dynamic, Mechanical, and Thermal Analyzer 60
3.3.2 Oberst Test Beam Method 64
3.3.2.1 Set-Up and Beam Configurations 64
3.3.2.2 Parameter Extraction 66
3.4 Master Curves of Viscoelastic Materials 68
3.4.1 The Principle of Temperature-Frequency Superposition 68
3.4.2 The Use of the Master Curves 71
3.4.3 The Constant Temperature Lines 71
3.5 Time-Domain Measurement Techniques of the Dynamic Properties of Viscoelastic Materials 72
3.5.1 Creep and Relaxation Measurement Methods 73
3.5.1.1 Testing Equipment 73
3.5.1.2 Typical Creep and Relaxation Behavior 74
3.5.1.3 Time-Temperature Superposition 76
3.5.1.4 Boltzmann Superposition Principle 78
3.5.1.5 Relationship between the Relaxation Modulus and Complex Modulus 80
3.5.1.6 Relationship between the Creep Compliance and Complex Compliance 81
3.5.1.7 Relationship between the Creep Compliance and Relaxation Modulus 83
3.5.1.8 Alternative Relationship between the Creep Compliance and Complex Compliance 83
3.5.1.9 Alternative Relationship between the Relaxation Modulus and Complex Modulus 84
3.5.1.10 Summary of the Basic Interconversion Relationship 85
3.5.1.11 Practical Issues in Implementation of Interconversion Relationships 86
3.5.2 Split Hopkinson Pressure Bar Method 94
3.5.2.1 Overview 94
3.5.2.2 Theory of 1D SHPB 95
3.5.2.3 Complex Modulus of a VEM from SHPB Measurements 98
3.5.3 Wave Propagation Method 105
3.5.4 Ultrasonic Wave Propagation Method 109
3.5.4.1 Overview 109
3.5.4.2 Theory 109
3.5.4.3 Measurement of the Phase Velocity and Attenuation Factor 111
3.5.4.4 Typical Attenuation Factors 113
3.6 Summary 115 References 116 4 Viscoelastic Materials 127
4.1 Introduction 127
4.2 Golla-Hughes-McTavish (GHM) Model 127
4.2.1 Motivation of the GHM Model 128
4.2.2 Computation of the Parameters of the GHM Mini-Oscillators 132
4.2.3 On the Structure of the GHM Model 135
4.2.3.1 Other Forms of GHM Structures 135
4.2.3.2 Relaxation Modulus of the GHM Model 135
4.2.4 Structural Finite Element Models of Rods Treated with VEM 137
4.2.4.1 Unconstrained Layer Damping 138
4.2.4.2 Constrained Layer Damping 142
4.3 Structural Finite Element Models of Beams Treated with VEM 150
4.3.1 Degrees of Freedom 150
4.3.2 Basic Kinematic Relationships 151
4.3.3 Stiffness and Mass Matrices of the Beam/VEM Element 152
4.3.4 Equations of Motion of the Beam/VEM Element 153
4.4 Generalized Maxwell Model (GMM) 155
4.4.1 Overview 155
4.4.2 Internal Variable Representation of the GMM 157
4.4.2.1 Single-DOF System 157
4.4.2.2 Multi-Degree of Freedom System 158
4.4.2.3 Condensation of the Internal Degrees of Freedom 159
4.4.2.4 Direct Solution of Coupled Structural and Internal Degrees of Freedom 160
4.5 Augmenting Thermodynamic Field (ATF) Model 163
4.5.1 Overview 163
4.5.2 Equivalent Damping Ratio of the ATF Model 164
4.5.3 Multi-degree of Freedom ATF Model 165
4.5.4 Integration with a Finite Element Model 165
4.6 Fractional Derivative (FD) Models 167
4.6.1 Overview 167
4.6.2 Internal Degrees of Freedom of Fractional Derivative Models 169
4.6.3 Grunwald Approximation of Fractional Derivative 169
4.6.4 Integration Fractional Derivative Approximation with Finite Element 170
4.6.4.1 Viscoelastic Rod 170
4.6.4.2 Beam with Passive Constrained Layer Damping (PCLD) Treatment 172
4.7 Finite Element Modeling of Plates Treated with Passive Constrained Layer Damping 176
4.7.1 Overview 176
4.7.2 The Stress and Strain Characteristics 178
4.7.2.1 The Plate and the Constraining Layers 178
4.7.2.2 The VEM Layer 179
4.7.3 The Potential and Kinetic Energies 179
4.7.4 The Shape Functions 179
4.7.5 The Stiffness Matrices 181
4.7.6 The Mass Matrices 181
4.7.7 The Element and Overall Equations of Motion 182
4.8 Finite Element Modeling of Shells Treated with Passive Constrained Layer Damping 185
4.8.1 Overview 185
4.8.2 Stress-Strain Relationships 186
4.8.2.1 Shell and Constraining Layer 186
4.8.2.2 Viscoelastic Layer 187
4.8.3 Kinetic and Potential Energies 189
4.8.4 The Shape Functions 189
4.8.5 The Stiffness Matrices 189
4.8.6 The Mass Matrices 190
4.8.7 The Element and Overall Equations of Motion 191
4.9 Summary 192 References 196 5 Finite Element Modeling of Viscoelastic Damping by Modal Strain Energy Method 205
5.1 Introduction 205
5.2 Modal Strain Energy (MSE) Method 205
5.3 Modified Modal Strain Energy (MSE) Methods 210
5.3.1 Weighted Stiffness Matrix Method (WSM) 210
5.3.2 Weighted Storage Modulus Method (WSTM) 211
5.3.3 Improved Reduction System Method (IRS) 211
5.3.4 Low Frequency Approximation Method (LFA) 213
5.4 Summary of Modal Strain Energy Methods 215
5.5 Modal Strain Energy as a Metric for Design of Damping Treatments 215
5.6 Perforated Damping Treatments 220
5.6.1 Overview 220
5.6.2 Finite Element Modeling 222
5.6.2.1 Element Energies 224
5.6.2.2 Topology Optimization of Unconstrained Layer Damping 227
5.6.2.3 Sensitivity Analysis 228
5.7 Summary 234 References 234 6 Energy Dissipation in Damping Treatments 243
6.1 Introduction 243
6.2 Passive Damping Treatments of Rods 243
6.2.1 Passive Constrained Layer Damping 243
6.2.1.1 Equation of Motion 243
6.2.1.2 Energy Dissipation 247
6.2.2 Passive Unconstrained Layer Damping 248
6.3 Active Constrained Layer Damping Treatments of Rods 251
6.3.1 Equation of Motion 251
6.3.2 Boundary Control Strategy 253
6.3.3 Energy Dissipation 254
6.4 Passive Constrained Layer Damping Treatments of Beams 257
6.4.1 Basic Equations of Damped Beams 257
6.4.2 Bending Energy of Beams 258
6.4.3 Energy Dissipated in Beams with Passive Constrained Layer Damping 258
6.5 Active Constrained Layer Damping Treatments of Beams 264
6.6 Passive and Active Constrained Layer Damping Treatments of Plates 267
6.6.1 Kinematic Relationships 268
6.6.2 Energies of the PCLD and ACLD Treatments 269
6.6.2.1 The Potential Energies 269
6.6.2.2 The Kinetic Energy 269
6.6.2.3 Work Done 269
6.6.3 The Models of the PCLD and ACLD Treatments 270
6.6.4 Boundary Control of Plates with ACLD Treatments 270
6.6.5 Energy Dissipation and Loss Factors of Plates with PCLD and ACLD Treatments 271
6.7 Passive and Active Constrained Layer Damping Treatments of Axi-Symmetric Shells 274
6.7.1 Background 275
6.7.2 The Concept of the Active Constrained Layer Damping 276
6.7.3 Variational Modeling of the Shell/ACLD System 276
6.7.3.1 Main Assumptions of the Model 276
6.7.3.2 Kinematic Relationships 276
6.7.3.3 Stress-Strain Relationships 277
6.7.3.4 Energies of Shell/ACLD System 279
6.7.3.5 The Model 280
6.7.4 Bounda
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