A practical approach to the application of viscoelastic damping materials to control vibration and noise problems in industrial structures, machinery, computer machinery, and vehicles. Assuming a basic understanding of mechanical engineering, the text covers implementation of theory, including material properties, dynamic structural response, design procedures and practical applications. Based on an understanding of both the properties of materials and the vibrational response of structures. Considers individual structures and the damping materials properties simultaneously. Includes extensive collection of data sheets for a large number of useful damping materials.

Ahid D. Nashif and David I. G. Jones are the authors of Vibration Damping, published by Wiley.

Nomenclature: Standard and Generic Symbols

xv

Fundamental Concepts in Structural Dynamics

1

(43)

Introduction

2

(1)

Methods of Predicting Response

3

(22)

Introductory Remarks

3

(2)

Direct Classical Method of Predicting Response

5

(6)

Classical Normal Mode Method

11

(5)

Discrete Methods

16

(4)

Receptance/Impedance Methods

20

(3)

Transfer Matrix Methods

23

(1)

Finite Element Methods

24

(1)

Techniques for Vibration Control

25

(19)

Introductory Remarks

25

(1)

Effects of Mass, Stiffness, and Damping

26

(1)

Criteria for Damping

27

(6)

Isolation

33

(2)

Enclosures and Barriers

35

(1)

Noise in Structures and Machines

36

(1)

Fatigue of Materials

37

(7)

Characterization of Damping in Structures and Materials

44

(43)

Effects of Damping

45

(6)

Nonmaterial Damping

51

(10)

Acoustic Radiation Damping

51

(4)

Linear Air Pumping

55

(2)

Coulomb Friction Damping

57

(4)

Damping in Materials

61

(13)

Introductory Remarks

61

(3)

High Damping Alloys

64

(1)

Composite Materials

65

(2)

Viscoelastic Materials

67

(1)

Characterization of Damping Materials' Behavior

68

(6)

The Complex Modulus Approach

74

(5)

Introductory Remarks

74

(1)

Hysteresis Loops

74

(1)

Energy Dissipation

75

(1)

Relationship Between Various Moduli

76

(2)

Relationship Between Harmonic and Transient Responses

78

(1)

Examples and Illustrations

79

(8)

Two Degree of Freedom System with Friction Damping

79

(3)

Calculations for Transient Response

82

(5)

Behavior and Typical Properties of Damping Materials

87

(30)

Introduction

88

(1)

Effects of Environmental Factors

89

(5)

Effects of Temperature

89

(1)

Effects of Frequency

90

(2)

Effects of Cyclic Dynamic Strain

92

(1)

Effects of Static Preload

93

(1)

Effects of the Environmental Factors

94

(1)

Analytical Modeling

94

(18)

Representation of Frequency Effects

95

(3)

Representation of Frequency-Temperature Effects

98

(4)

Representation of Frequency-Dynamic Strain Effects

102

(3)

Representation of Preload Effects

105

(5)

General Analytical Representation

110

(2)

Properties of Typical Damping Materials

112

(5)

Measurement and Analysis

114

(2)

Properties of Typical Materials

116

(1)

Modeling of Structural Response of Damped Systems

117

(72)

Introduction

118

(1)

Steady State Response of a Single Degree of Freedom System

119

(11)

Force Excitation---Viscous Damping

119

(4)

Force Excitation---Hysteretic Damping

123

(2)

Comparison of Viscous and Hysteretic Damping

125

(1)

Base Excitation of a Single Degree of Freedom Systems

126

(2)

Effects of Real Material Behavior

128

(2)

Determination of Damping From Steady State Harmonic Response

130

(15)

Damping from Half-Power Bandwidth

130

(3)

Resonant Response Amplitude

133

(2)

Nyquist Diagram

135

(3)

Hysteresis Loops

138

(4)

Damping from Quadrature Bandwidth

142

(1)

Dynamic Stiffness

143

(2)

Transient Response

145

(6)

Viscous Damped System

145

(2)

Viscoelastically Damped System

147

(4)

Random Response

151

(4)

Force Excitation

151

(3)

Base Excitation

154

(1)

Steady State Response of Multiple Degree of Freedom Systems

155

(16)

Discrete Element Modeling

155

(1)

Free Vibrations of Beam by Classical Approach

155

(5)

Forced Vibration by the Normal Mode Method

160

(2)

Transfer Matrix Method

162

(6)

Finite Element Analysis

168

(1)

Experimental Modal Analysis

169

(2)

Examples and Illustrations

171

(18)

One Degree of Freedom High Damping System (Analysis of Test Data)

171

(3)

Harmonic Response of Single Degree of Freedom System with Viscous or Hysteretic Damping and Fixed Mass and Stiffness (Force Excitation)

174

(6)

Harmonic Response of Single Degree of Freedom System with Variable Stiffness and Damping (Force Excitation)

180

(5)

Harmonic Response of Single Degree of Freedom System with Variable Stiffness and Damping (Base Excitation)

185

(4)

Discrete Damping Devices

189

(69)

Introduction

190

(1)

Tuned Damper Behavior

191

(6)

Energy Dissipated in a Single Degree of Freedom Tuned Damper

191

(2)

Damping and Inertia Forces from a Single Degree of Freedom Tuned Damper

193

(1)

Damper Geometry and Design Considerations

194

(3)

Tuned Dampers in Simple Structures

197

(16)

Introductory Remarks

197

(1)

Modal Analysis of the Effect of Tuned Dampers on a Simple Beam with Force Excitation

198

(7)

Modal Analysis of Tuned Dampers on a Beam with Base Excitation

205

(5)

Direct Solutions for Tuned Dampers on Beams

210

(3)

Tuned Dampers in Complex Structures

213

(4)

Frequency Bandwidth of Effective Operation

213

(1)

Skin-Stringer Structures

214

(3)

Structural Modification by Links Joining Two Points of a Structure

217

(11)

General Analysis

217

(2)

Two Parallel Beams Joined by a Link (Force Excitation/Receptance Analysis)

219

(2)

Two Parallel Clamped-Clamped Beams Joined by a Link (Base Excitation/Direct Analysis)

221

(7)

Applications and Examples

228

(30)

Development of a Tuned Damper for an Aircraft IFF Antenna

228

(23)

Tuned Damper for Vibration Control of Impeller Blades

251

(7)

Surface Damping Treatments

258

(105)

Introductory Remarks

259

(1)

Analysis For Beams and Plates

259

(4)

Ross-Kerwin-Ungar Equations

259

(1)

Assumptions, Precautions and Uses

260

(3)

Extensional Damping Treatment

263

(12)

Equations

263

(1)

Effects of Temperature

264

(1)

Effects of Thinckness

265

(3)

Effects of Initial Structural Damping

268

(2)

Effects of Frequency and Semi-wavelength

270

(1)

Effects of Bonding Techniques

271

(1)

Effects of Partial Coverage

272

(1)

Effects of Multiple Materials

272

(3)

Stiffened Plate with Extensional Damping Treatment

275

(3)

Equations

275

(1)

Typical Test Results for Multispan Stiffened Structure

276

(2)

Shear Damping Treatment

278

(13)

Introductory Remarks

278

(7)

Effects of Temperature

285

(1)

Effects of Thickness

286

(2)

Effects of Frequency and Wavelength

288

(2)

Effects of Initial Structural Damping

290

(1)

Effects of Constraining-Layer Damping

290

(1)

Multiple Constrained-Layer Treatments

291

(12)

Introductory Remarks

291

(3)

Multiple Materials

294

(1)

Equivalent Complex Modulus Concept

295

(3)

Illustration of Multiple-Layer Treatment on Clamped-Clamped Beam (Single Material)

298

(1)

Application of Equivalent Free-Layer Approach for Multiple Material Treatments

298

(1)

Illustration of Multiple Material Treatment on Clamped-Clamped Beam

298

(3)

Multiple Constrained-Layer Treatments on Stiffened Structure

301

(2)

Application of Analysis to Measure Damping Properties

303

(9)

Introductory Remarks

303

(1)

Description of Specimens

303

(2)

Instrumentation and Set-up

305

(1)

Data Reduction

305

(5)

Assumptions and Precautions

310

(2)

Applications and Examples

312

(51)

Development of a Constrained-Layer Treatment for Vibration Control in an Aircraft Weapon Dispenser

312

(8)

Development of a Damping Wrap for Vibration Control in a Jet Engine Inlet Guide Vane

320

(8)

Constrained-Layer Damping for Noise Reduction in a Helicopter Cabin

328

(11)

Development of a Free-Layer Treatment for an Engine Exhaust Stack

339

(10)

Application of Damping in Noise Control a Diesel Engine

349

(14)

Design Data Sheets

363

(78)

Caution

363

(2)

Data Sheets Giving Complex Modulus Properties as Function of Temperature and Frequency

365

(76)

Index

441

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Vibration Damping

9780471867722

0471867721

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