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.

AMR M. BAZ, PHD, is Minta-Martin Chair Professor and Director of Smart Materials and Structures Research Center, Mechanical Engineering Department, University of Maryland, USA. His research interests include active and passive control of vibration and noise, active constrained layer damping, magnetic composites, virtual reality design of smart structures, active periodic structures, active acoustic meta-materials, and non-reciprocal acoustic metamaterials.

Klappentext

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.

Inhalt

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 KelvinVoigt Models 14

2.2.4 Detailed Time Response of the PoyntingThomson 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