Handbook of Viscoelastic Vibration Damping,9780471492481

Handbook of Viscoelastic Vibration Damping

by
Edition: 1st
ISBN13: 9780471492481
ISBN10: 0471492485
Format: Hardcover
Pub. Date: 2001-07-10
Publisher(s): WILEY
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Summary

Describing at a fundamental level the improvements in knowledge of viscoelastic damping which have occurred in recent years, this text will allow engineers to increase their understanding of basic principles and hence improve their appreciation of the potential damping applications of viscoelastic materials. Features include: * Emphasis on step-by-step explanations and illustrations * Simple approaches for practical structural applications This text is a wide ranging and valuable reference resource for anyone involved in vibration control, including vibration control analysts, researchers, practitioners and designers in industry and consultancy as well as graduate students in mechanical, aeronautical and marine engineering.

Author Biography

David I. G. Jones is the author of Handbook of Viscoelastic Vibration Damping, published by Wiley.

Table of Contents

Preface xiii
Introduction to Damping
1(38)
A brief historical review
1(1)
Introduction to Vibration, Resonance and Damping
2(6)
What is vibration?
2(2)
What is resonance?
4(2)
What is damping?
6(1)
What is vibration control?
7(1)
What is noise control?
7(1)
What is isolation?
8(1)
Linear Viscous Damping
8(16)
What is linear viscous damping?
8(1)
Equation of motion for a SDOF system
8(1)
Simple harmonic motion
9(1)
Non-harmonic excitation
10(4)
Measures of damping
14(10)
Other Damping Mechanisms
24(15)
Nonlinear internal material damping
24(1)
Nonlinear friction damping
25(5)
Air-based damping mechanisms
30(2)
References
32(4)
Symbols for Chapter 1
36(3)
Modeling the Dynamic Mechanical Behaviour of Viscoelastic Materials
39(24)
Linear Viscoelastic Damping?
39(4)
What is linear viscoelastic damping
39(2)
The rationale for developing analytical models
41(1)
Hysteresis loops for viscoelastic materials
41(2)
Frequency Domain Behaviour
43(3)
Ideal behaviour of an elastic solid
44(1)
Viscoelastic behaviour
44(2)
The Complex Modulus Model
46(2)
Classical Viscoelastic Models
48(3)
The Fractional Derivative Model
51(12)
The time-domain equations
51(1)
Application to the frequency domain
52(2)
Higher order fractional derivative models
54(3)
Some empirical modifications
57(2)
References
59(1)
Symbols for Chapter 2
60(3)
The Effects of Temperature and Frequency on Complex Modulus Properties
63(12)
The Effects of Temperature
63(1)
The Effects of Frequency
64(2)
The Effect of Cyclic Strain Amplitude
66(1)
Environmental Effects
67(1)
The Combined Effects of Temperature and Frequency
68(7)
Temperature-frequency equivalence (reduced variables)
68(2)
Shift factor relationships
70(2)
Modeling the complex modulus behaviour
72(1)
References
73(1)
Symbols for Chapter 3
73(2)
Measurement of Complex Modulus Properties
75(34)
The Measurement Process
75(2)
Single Degree of Freedom Test Configurations
77(10)
SDOF systems with amplitude and phase measurement
78(1)
SDOF systems with amplitude measurement only
79(8)
Vibrating Beam Test Configurations
87(19)
The `Oberst beam' configuration
89(9)
The symmetric `Van Oort beam' configuration
98(4)
The symmetric `sandwich beam' configuration
102(4)
Commercial Measurement Systems
106(3)
References
106(1)
Symbols for Chapter 4
107(2)
Numerical Analysis of Measured Complex Modulus Data
109(30)
Identifying Errors in the Test Data
109(1)
The Wicket Plot
110(1)
The Temperature/Frequency Nomogram
111(1)
Analysis of Measured Complex Modulus Data
112(3)
Manual data analysis
112(1)
Simple statistical data analysis
113(1)
Calculation of mean square errors
114(1)
Data Analysis for Particular Materials
115(24)
Data analysis for a nitrile elastomer (Paracril-BJ)
115(10)
Data analysis for a viscoelastic pressure sensitive adhesive (3M-467)
125(12)
References
137(1)
Symbols for Chapter 5
137(2)
The Complex Modulus Behaviour of Typical Polymeric Materials
139(66)
Introduction
139(5)
Complex Modulus Data for some Typical Elastomers
144(32)
Paracril-BJ with 0 PHR (Parts per hundred) Carbon Black
144(1)
Paracril-BJ with 25 PHR Carbon Black
144(4)
Paracril-BJ with 50 PHR Carbon Black
148(8)
Polymer blend
156(9)
Butyl rubber
165(2)
Viton-B
167(3)
Styrene-butadiene rubber (SBR)
170(6)
Data for some Typical Adhesives and Soft Polymers
176(13)
3M-467 viscoelastic adhesive
176(3)
3M-ISD-110 viscoelastic adhesive
179(2)
Soundcoat n5
181(8)
Data for some Typical Free Layer Materials
189(16)
LD-400 damping tiles
189(5)
Antivibe ds (formerly Aquaplas F-70) damping sheets
194(7)
References
201(2)
Symbols for Chapter 6
203(2)
Harmonic and Non-harmonic Response of Simple Viscoelastic Systems
205(54)
The Rationale for Analysing Non-harmonic Response
205(1)
Harmonic Response of SDOF Systems
205(10)
Equation of motion
205(1)
Dynamic response
206(1)
Measures of damping
206(9)
Fourier Transforms of Time-domain Excitations
215(11)
Some particular Fourier transforms
216(3)
Some particular inverse Fourier transforms
219(7)
Creep-Recovery Behaviour of a Viscoelastic Specimen (Step Loading)
226(8)
Relaxation Response of a Viscoelastic Specimen
234(4)
Impulse Response of a SDOF System
238(9)
Frequency domain equations
238(1)
Time domain equations
238(8)
The integration path
246(1)
General Time-dependent Behaviour
247(1)
Response of Multiple Degree of Freedom Systems
247(12)
Frequency domain response
247(8)
Time domain response
255(2)
References
257(1)
Symbols for Chapter 7
257(2)
Controlling Vibration using Viscoelastic Materials
259(68)
Types of Damping Treatments
259(3)
Free Layer Damping Treatments
262(22)
Free layer treatments with full coverage
262(13)
Partial coverage free-layer treatments on complex structures
275(9)
Constrained Layer Treatments
284(13)
Simple structures with full coverage by a single layer pair
284(5)
Simple structures with full coverage multiple constrained layer pairs
289(8)
Analysis of Complex Structures
297(9)
Complex structures with full or partial coverage treatments
297(4)
Finite element analysis of a damped beam
301(5)
Tuned Viscoelastic Devices (Dampers)
306(6)
Effect of tuned dampers on structural response
306(1)
Response of a sdof system with a tuned damper
307(3)
Response of a mdof system with a tuned damper
310(2)
Design and Behaviour of Isolator Systems
312(15)
General aspects of isolator design
312(6)
Design of simple isolators
318(4)
Measuring or calculating isolator characteristics
322(2)
References
324(1)
Symbols for Chapter 8
325(2)
Selected Computer Programmes
327(46)
Introduction
327(1)
Reference
328(1)
Response of SDOF system to impulse excitation (viscous damping)
328(2)
Response of SDOF system to step excitation (viscous damping)
330(2)
Classical viscoelastic model (4 element spring-dashpot system)
332(2)
One term fractional derivative model of viscoelastic behaviour
334(1)
Two term fractional derivative model of viscoelastic behaviour
335(1)
Complex modulus master curves for Parcril-BJ (extension/Van Oort beam test)
335(5)
Complex modulus data analysis for Paracril-BJ (extension/Van Oort beam test)
340(7)
Complex modulus data analysis for 3M-467 adhesive (RKU beam test/shear)
347(4)
Complex modulus master curves for 3M-467 adhesive (shear/RKU beam test)
351(5)
Creep-recovery response for a viscoelastic element
356(2)
Impulse response of SDOF system with viscoleastic damping
358(2)
Harmonic response of 3-DOF system with viscoelastic damping
360(1)
Oberst equations for free layer treatment
361(3)
Variation of damping with temperature for two layer unconstrained layer treatment
364(2)
RKU equation for pinned-pinned beam with constrained layer treatment
366(1)
RKU equations applied to calculate temperature effects
367(1)
Inverse Oberst equations used to calculate equivalent free layer complex moduli from test data
368(3)
Tuned damper on MDOF system
371(2)
Units and Dimensions
373(10)
On the Elements of Measurement
373(1)
Measurement of Classical Mechanics
374(2)
Measurement in Thermodynamics
376(2)
Conversion of Units
378(5)
Author Index 383(2)
Subject Index 385

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