Fundamentals of sound and vibration:
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2015
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| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Klappentext Inhaltsverzeichnis |
| Item Description: | 1. Aufl. u.d.T.: Fundamentals of noise and vibration |
| Physical Description: | xxvi, 490 S. graph. Darst. |
| ISBN: | 9780415562102 |
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| 245 | 1 | 0 | |a Fundamentals of sound and vibration |c ed. by Frank Fahy ; David Thompson |
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| adam_text | Acoustical Engineering
FUNDAMENTALS OF
SOUND AND VIBRATION
SECOND EDITION
This introductory text covers the physical, mathematical and technical
foundations of sound and vibration at audio frequencies. Acoustics,
vibration and the associated signal processing are presented in a single
volume at a level suitable for a graduate student or practising engineer
having no prior formal training in the field.
The book is a coherent textbook based on the first semester of the Masters
programme in Sound and Vibration Studies at the internationally acclaimed
Institute of Sound and Vibration Research at the University of Southampton.
It has been extensively revised and updated from its previous edition, with
a new introductory chapter and new chapters on the measurement of
sound and vibration. Other chapters include fundamentals of acoustics,
fundamentals of vibration, signal processing, noise control, human
response to sound and human response to vibration; many of these have
been substantially revised. Example problems and answers for self-study
are included.
Frank Fahy is former professor of engineering acoustics at the Institute of
Sound and Vibration Research (ISVR) of the University of Southampton, UK.
David Thompson is professor of railway noise and vibration at the ISVR.
Contents^
Preface xix
Acknowledgements xxi
Contributors xxiii
1 Introduction 1
FRANK FAHY
1.1 Sound and noise 1
1.2 Vibration 2
1.3 Signal processing and analysis 3
1.4 Experimental methods and equipment 3
1.5 Need for noise and vibration control technology 4
1.6 Challenges of noise and vibration control technology 6
1.7 Can software solve the problem? 7
1.8 An exciting field 8
Reference 8
2 Fundamentals of acoustics 9
DAVID THOMPSON AND PHILIP NELSON
2.1 Introduction to sound 9
2.1.1 Sound pressure 10
2.1.2 Harmonic motion and frequency 11
2.1.3 Decibel scale 13
2.1.4 Decibel arithmetic 15
2.1.5 Complex exponential notation 16
2.2 One֊dimensional wave equation 17
2.2.1 Propagation of acoustic disturbances 17
2.2.2 Fluctuating fluid properties 19
2.2.3 Equation of mass conservation 20
ví Contents
2.2.4 Equation of momentum conservation 21
2.2.5 Relation between pressure and density 21
2.2.6 Wave equation 22
2.2.7 Solutions of the one-dimensional wave equation 23
2.2.8 Sound speed and specific acoustic impedance 26
2.2.9 Linearity and the superposition principle 27
2.2.10 Sound produced by a vibrating
piston at the end of the tube 29
2.3 Acoustic energy density and intensity 30
2.3.1 Energy density 30
2.3.2 Acoustic intensity 31
2.3.3 Power radiated by a piston source
in a semi-infinite tube 33
2.4 The wave equation in three dimensions 35
2.4.1 Derivation of the wave equation in three dimensions 35
2.4.2 Spherically symmetric solutions of the
three-dimensional wave equation 37
2.4.3 Point sources of spherical radiation 40
2.4.4 Acoustic power output from a pulsating sphere 41
2.4.5 Two-dimensional solutions of the wave equation 43
2.5 Multipole sources 44
2.5.1 Point dipole source 44
2.5.2 Point quadrupole sources 48
2.5.3 Sources near a rigid surface 50
2.5.4 Rayleigh integral 53
2.6 Enclosed sound fields 55
2.6.1 One-dimensional standing waves
in a closed uniform tube 55
2.6.2 One-dimensional standing waves in
a uniform tube with an open end 58
2.6.3 Enclosed sound fields in three
dimensions at low frequencies 60
2.7 Room acoustics 63
2.7.1 Enclosed sound fields in three
dimensions at high frequencies 63
2.7.2 One-sided intensity 66
2.7.3 Power balance for an enclosure 68
2.7.4 Direct and reverberant field in an enclosure 70
2.7.5 Schroeder frequency 71
2.8 Further reading 72
2.9 Questions 72
References 74
Contents vii
3 Fundamentals of vibration 77
BRIAN MACE
3.1 Introduction 77
3.1.1 Some terminology and definitions 77
3.1.2 Degrees of freedom 78
3.1.3 Methods of rigid body dynamics 79
3.1.3.1 Newton s second law of motion 80
3.1.3.2 Work-energy 80
3.1.3.3 Impulse-momentum 81
3.1.4 Simple harmonic motion 81
3.1.5 Complex exponential notation 82
3.1.6 frequency-response functions 83
3.1.7 Stiffness and flexibility 85
3.2 Free vibration of an SDOF system 88
3.2.1 Undamped free vibration 88
3.2.2 Energy; effective mass and stiffness 92
3.2.3 Viscously damped SDOF system 95
3.2.4 Estimation of SDOF-system parameters
from measured free vibration 97
3.3 Time-harmonic forced vibration of an SDOF system 98
3.3.1 Estimation of SDOF-system
parameters from measured FRFs 103
3.3.2 Vibration isolation 104
3.3.3 Other applications 106
3.3.4 Damping and loss factor 107
3.4 Response of an SDOF system to general excitation 108
3.4.1 Transient excitation: impulse response 109
3.4.2 Response to general excitation: convolution 110
3.4.3 Periodic excitation 111
3.4.4 Response to general excitation: Fourier
transform and frequency response 112
3.4.5 Response to random excitation 113
3.5 Multiple degrees of freedom systems 116
3.5.1 Undamped free vibration of 2DOF systems 116
3.5.2 Matrix notation: n arbitrary 119
3.5.3 General free vibration: modal superposition 120
3.5.4 Orthogonality 121
viii Contents
3.5.5 Modal decomposition: uncoupling
the equations of motion 122
3.6 Forced response of MDOF systems 123
3.6.1 Damped MDOF systems 124
3.6.2 Response to harmonic forces: FRF 125
3.6.3 Reciprocity 127
3.6.4 Characteristics of FRFs 127
3.6.5 Vibration absorber 129
3.7 Continuous systems 131
3.7.1 Axial vibration of a rod 131
3.7.2 Bending vibration of a beam 134
3.7.3 Waves in structures 138
3.8 Concluding remarks 139
3.9 Questions 140
References 144
4 Fundamentals of signal processing 145
JOE HAMMOND AND PAUL WHITE
4.1 Introduction 145
4.1.1 Data classification, generation and processing 146
4.1.1.1 Objectives of data analysis 147
4.1.1.2 Methods of data analysis 147
4.2 Fourier analysis of continuous time signals 147
4.2.1 Preliminary: delta function 147
4.2.2 Fourier series and Fourier integral 149
4.2.2.1 Random signals and nonstationarity 150
4.3 Some results in signal and system analysis 151
4.3.1 Effect of delay 151
4.3.1.1 Echoes 152
4.3.2 Convolution 152
4.3.3 Windowing 154
4.3.4 Uncertainty principle 157
4.3.5 Hilbert transform 158
4.3.6 Instantaneous frequency and group delay 159
4.4 Effects of sampling 160
4.4.1 Analogue-to-digital conversion 160
4.4.2 Fourier transform of a sequence 160
4.4.2.1 Impulse train modulation 161
4.4.2.2 z-transform 162
Contents ix
4.4.3 Aliasing 163
4AA Discrete Fourier transform 164
4A.5 Fast Fourier transform 167
4 A3 A Radix 2 F FT 167
4A3 Practical issues associated with
analogue-to-digital conversion 169
43 Random processes 170
43 A Introduction 170
43.2 Probability theory 170
433 Random variables and
probability distributions 171
433A Probability distributions for
discrete random variables 171
433.2 Probability distribution function 171
4333 Continuous distributions 172
43.3.4 Probability-density functions 172
4333 Joint distributions 173
43.4 Expectations of functions of a random variable 173
43.4.1 Moments of a random variable 173
43.4.2 Normal distribution
(Gaussian distribution) 174
43.4.3 Higher moments 175
43.4.4 Bivariate processes 176
433 Stochastic processes 176
433.1 Ensemble 177
433.2 Probability distributions associated
with a stochastic process 177
4333 Moments of a stochastic process 178
433A Stationarity 179
4333 Covariance (correlation) functions 179
43.5.6 Cross-covariance
(cross-correlation) function 180
43.5.7 Summary of the properties
of covariance functions 181
433.8 Ergodic processes and time averages 181
43.5.9 Examples 182
43.6 Spectra 185
43.6.1 Comments on the power-
spectral density function 187
43.6.2 Examples of power spectra 187
x Contents
4.5.6.3 Cross-spectral density function 188
4.5.6.4 Properties and associated definitions 188
4.6 Input-output relationships and system identification 189
4.6.1 Single input-single output systems 189
4.6.2 Coherence function 191
4.6.2.1 Example 191
4.6.3 System identification 192
4.6.3.1 Frequency-response identification 194
4.6.3.2 Effects of feedback 195
4.7 Random processes and estimation 195
4.7.1 Estimator errors and accuracy 195
4.7.1.1 Bias error 196
4.7.1.2 Variance 197
4.7.1.3 Mean-square error 197
4.7.1.4 Confidence intervals 197
4.7.2 Estimators for stochastic processes 198
4.7.3 Autocorrelation function 198
4.7.3.1 Definition 198
4.7.3.2 Statistical considerations 199
4.7.4 Power-spectral density 199
4.7.4.1 Fourier transform of the
autocorrelation function 199
4.7.4.2 Statistical properties 200
4.7.4.3 Smoothed spectral estimators 201
4.7.4.4 Confidence intervals 202
4.7.4.5 Segment averaging 203
4.7.5 Cross-spectra, coherence and transfer functions 205
4.7.5.1 Cross-spectra 205
4.7.5.2 Coherence function 205
4.7.5.3 Frequency-response functions 206
4.8 Concluding remarks 206
4.9 Questions 207
References 209
5 Noise control 213
DAVID THOMPSON
5.1 Introduction 213
5.2 Sound sources: categories and characterisation 214
5.2.1 What is a sound source? 214
5.2.2 Measurement quantities 215
Contents xi
5.2.2.1 Amplitude 215
5.2.2.2 Frequency spectra 215
5.2.2.3 Weighted spectra 217
5.2.3 Categories of sound source 217
5.2.4 Acoustic efficiency 218
5.2.5 Operational speed 220
5.2.5.1 Aeroacoustic sources 220
5.2.5.2 Mechanical sources 221
5.2.53 Consequence of speed dependence 222
5.2.6 Frequency spectra 223
5.2.7 Directivity and geometric attenuation 225
5.2.7.1 Dependence of sound pressure
on distance from source
(geometric spreading) 225
5.2.7.2 Far-field directivity 226
5.3 Noise source quantification 227
5.3.1 Purpose of source quantification 227
5.3.2 Free-field sound power measurement methods 228
5.3.3 Reverberant-field sound power
measurement methods 229
5.3.4 Measurement methods based on sound intensity 231
5.3.5 Source substitution method 231
5.3.6 Sound pressure standards 232
5.4 Principles of noise control 232
5.4.1 Noise-path models 232
5.4.2 Control at source 233
5.4.2.1 General principles 234
5.4.2.2 Impacts 234
5.4.3 Control of airborne and structure-borne paths 236
5.5 Sound radiation from vibrating structures 237
5.5.1 Radiation ratio 237
5.5.2 Radiation from simple sources 239
5.5.3 Rayleigh integral 239
5.5.4 Bending waves and critical frequency 240
5.5.5 Radiation from a plate in bending:
engineering approach 243
5.5.5.1 High frequencies 244
5.5.5.2 Low frequencies 245
5.5.5.3 Acoustic short-circuiting region 245
5.5.6 Reducing sound radiation 247
xii Contents
5.6 Sound transmission through partitions 250
5.6.1 Introduction 250
5.6.2 Sound transmission under normal incidence 251
5.6.3 Oblique and diffuse incidence 254
5.6.3.1 Below the critical frequency 256
5.6.3.2 Above the critical frequency 256
5.6.3.3 Bounded partitions 257
5.6.4 Double-leaf partitions 258
5.6.4.1 Theoretical performance 259
5.6.4.2 Practical considerations 261
5.6.5 Sound transmission measurements 262
5.7 Noise control enclosures 265
5.8 Noise barriers 266
5.9 Sound absorption 269
5.9.1 Local reaction 269
5.9.2 Reflection and absorption at
an impedance interface 270
5.9.3 Parameters describing porous materials 272
5.9.4 Equations for fluid in a porous material 273
5.9.5 Absorption due to a layer of porous material 276
5.9.6 Practical sound absorbers 278
5.9.6.1 Porous layer in front of air cavity 278
5.9.6.2 Porous layer covered by
thin surface layer 279
5.9.6.3 Helmholtz resonators 280
5.9.6.4 Panel absorbers 280
5.9.6.5 Micro-perforated panels 281
5.9.6.6 Duct attenuators 282
5.9.7 Measurements of absorption 283
5.9.7.1 Impedance-tube method 283
5.9.7.2 Reverberation room 285
5.10 Vibration control for noise reduction 286
5.10.1 Impedance mismatch and vibration isolation 287
5.10.1.1 Low-frequency model of
vibration isolation 287
5.10.1.2 Mobility and impedance 288
5.10.1.3 Input power 289
5.10.1.4 Impedance mismatch 290
5.10.1.5 Force and velocity excitation 292
Contents xiii
5.10.1.6 High-frequency model for
vibration isolation 292
5.10.1.7 Practical considerations 293
5.10.2 Damping 295
5.10.2.1 Effects of added damping 295
5.10.2.2 Mean-square velocity of a plate 296
5.10.2.3 Sound radiation from near
field around forcing point 297
5.10.2.4 Methods of adding damping 297
5.10.2.5 Material properties of
viscoelastic materials 298
5.10.2.6 Unconstrained and constrained
damping layers 299
5.10.3 Structural modification 299
5.10.3.1 Added mass or stiffeners 299
5.10.3.2 Effects of plate thickness and material 301
5.11 Further reading 302
5.12 Questions 303
References 305
6 Human response to sound 311
IAN FLINDELL
6.1 Introduction 311
6.1.1 Objective standards 311
6.1.2 Uncertainties 311
6.2 Auditory anatomy and function 312
6.2.1 Research methods 312
6.2.2 External ear 314
6.2.3 Middle ear 315
6.2.4 Inner ear 317
6.2.5 Auditory nerves 321
6.2.6 Overview 321
6.3 Auditory capabilities and acoustic metrics 322
6.3.1 Auditory thresholds 322
6.3.2 Just-noticeable differences 324
6.3.3 Equal-loudness contours 326
6.3.4 Time weightings and averaging 333
6.3.5 Time-varying frequency spectra 340
6.3.6 Spatial hearing 342
xiv Contents
6.4 Range of noise effects on people 343
6.4.1 Direct health effects 343
6.4.2 Hearing damage risk 343
6.4.3 Causal mechanisms for other
adverse health effects 345
6.4.4 Speech interference 346
6.4.5 Activity disturbance and personal preference 350
6.4.6 Sleep disturbance 352
6.4.7 Annoyance 355
References 360
7 Human responses to vibration
MICHAELJ. GRIFFIN
7.1 Introduction 363
7.2 Measurement of vibration 364
7.3 Whole-body vibration 365
7.3.1 Biodynamics 366
7.3.1.1 Transmissibility of the human body 366
7.3.1.2 Mechanical impedance
of the human body 366
7.3.1.3 Biodynamic models 367
7.3.2 Vibration discomfort 369
7.3.2.1 Effects of vibration magnitude 369
7.3.2.2 Effects of vibration
frequency and direction 370
7.3.2.3 Effects of vibration duration 372
7.3.3 Interference with activities 373
7.3.3.1 Effects of vibration on vision 374
7.3.3.2 Manual control 376
7.3.3.3 Cognitive performance 379
7.3.4 Health effects of whole-body vibration 379
7.3.4.1 Evaluation of whole-body
vibration according to BS 6841
(1987) and ISO 2631 (1997) 379
Assessment of whole-body
vibration according to BS 6841
(1987) and ISO 2631-1 (1997) 380
EU Machinery Safety Directive 382
EU Physical Agents
(Vibration) Directive 383
7.3.4.2
7.3.4.3
7.3.4.4
363
Contents XV
7.3.5 Disturbance in buildings 384
7.3.6 Seating dynamics 384
7.4 Motion sickness 387
7.4.1 Causes of motion sickness 387
7.4.2 Sickness caused by oscillatory motion 388
7.5 Hand-transmitted vibration 389
7.5.1 Sources of hand-transmitted vibration 390
7.5.2 Health effects of hand-transmitted vibration 392
7.5.2.1 Vascular disorders 392
7.5.2.2 Neurological disorders 394
7.5.2.3 Muscular effects 395
7.5.2.4 Articular disorders 395
7.5.2.5 Other effects 396
7.5.3 Standards for evaluation of hand-
transmitted vibration 396
7.5.3.1 Vibration measurement 396
7.5.3.2 Vibration evaluation according
to ISO 5349-1 (2001) 396
7.5.3.3 Vibration assessment according
to ISO 5349-1 (2001) 398
7.5.3.4 EU Machinery Safety Directive 399
7.5.3.5 EU Physical Agents Directive (2002) 399
7.5.4 Preventive measures 400
References 402
8 Measurement of audio-frequency sound in air 411
FRANK FAHY
8.1 Introduction 411
8.2 Condenser microphone 412
8.3 Preamplifiers and transducer electronic
data systems (TEDS) 415
8.4 Calibration 416
8.5 Specialised microphone applications 417
8.5.1 MEMS microphones 417
8.5.2 Probe microphone 417
8.5.3 Artificial ear 418
8.5.4 Directional microphones 419
8.5.5 Microphone arrays 421
8.6 Sound level meters and their use 426
8.6.1 Sound level meter 426
xvi Contents
8.6.2 Sound level meter usage 430
8.6.3 Computer-based sound level meters 431
8.7 Sound intensity 431
8.7.1 Introduction 431
8.7.2 Sound intensity measurement probes 433
8.7.2.1 Two-microphone sound
intensity probe 433
8.7.2.2 Microflown 436
8.8 Applications of sound intensity measurement 438
8.8.1 Determination of source sound power 438
8.8.2 Determination of sound transmission
through partitions 438
8.8.3 Leak detection 439
8.8.4 Measurement of sound absorption 439
References 439
9 Vibration testing
TIM WATERS
9.1 Introduction 443
9.2 General test set-up 445
9.3 Sensors 447
9.3.1 Principle of force gauges 447
9.3.2 Principle of accelerometers 448
9.3.3 Accelerometer mounting considerations 450
9.3.4 Signal conditioning 452
9.3.5 Sensitivity and calibration 453
9.4 Using an electrodynamic shaker 455
9.4.1 Working principle 455
9.4.2 Structure-shaker dynamics 456
9.4.2.1 Force generation 457
9.4.2.2 Force transmission 457
9.4.2.3 Force measurement 460
9.4.2.4 Supporting the structure 460
9.4.2.5 Supporting the shaker 461
9.4.2.6 Connecting the shaker
to the structure 462
9.4.3 Excitation signals 462
9.4.3.1 Harmonic 463
9.4.3.2 Periodic 464
443
Contents xvii
9.433 Transient 465
9.4.3A Random 468
9.4.4 Case study 469
9.5 Using an instrumented hammer 475
9.5A Force spectrum 475
9.5.2 Triggering 477
9.53 Windowing 478
9.5.4 Averaging 479
9.5.5 Case study 480
References 482
Index
483
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV042583429 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:05:13Z |
| institution | BVB |
| isbn | 9780415562102 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028016781 |
| oclc_num | 910715476 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-703 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-703 DE-83 |
| physical | xxvi, 490 S. graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Fundamentals of sound and vibration ed. by Frank Fahy ; David Thompson 2. ed. Boca Raton [u.a.] CRC Press 2015 xxvi, 490 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 1. Aufl. u.d.T.: Fundamentals of noise and vibration Schwingungsakustik (DE-588)7658958-4 gnd rswk-swf Schallausbreitung (DE-588)4179359-6 gnd rswk-swf Akustik (DE-588)4000988-9 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Akustik (DE-588)4000988-9 s Mechanische Schwingung (DE-588)4138305-9 s Schallausbreitung (DE-588)4179359-6 s DE-604 Schwingungsakustik (DE-588)7658958-4 s Fahy, Frank Sonstige (DE-588)1047956551 oth Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028016781&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028016781&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fundamentals of sound and vibration Schwingungsakustik (DE-588)7658958-4 gnd Schallausbreitung (DE-588)4179359-6 gnd Akustik (DE-588)4000988-9 gnd Mechanische Schwingung (DE-588)4138305-9 gnd |
| subject_GND | (DE-588)7658958-4 (DE-588)4179359-6 (DE-588)4000988-9 (DE-588)4138305-9 (DE-588)4123623-3 |
| title | Fundamentals of sound and vibration |
| title_auth | Fundamentals of sound and vibration |
| title_exact_search | Fundamentals of sound and vibration |
| title_full | Fundamentals of sound and vibration ed. by Frank Fahy ; David Thompson |
| title_fullStr | Fundamentals of sound and vibration ed. by Frank Fahy ; David Thompson |
| title_full_unstemmed | Fundamentals of sound and vibration ed. by Frank Fahy ; David Thompson |
| title_short | Fundamentals of sound and vibration |
| title_sort | fundamentals of sound and vibration |
| topic | Schwingungsakustik (DE-588)7658958-4 gnd Schallausbreitung (DE-588)4179359-6 gnd Akustik (DE-588)4000988-9 gnd Mechanische Schwingung (DE-588)4138305-9 gnd |
| topic_facet | Schwingungsakustik Schallausbreitung Akustik Mechanische Schwingung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028016781&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028016781&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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