Description

Book Synopsis

ENGINEERING ACOUSTICS
NOISE AND VIBRATION CONTROL

A masterful introduction to the theory of acoustics along with methods for the control of noise and vibration

In Engineering Acoustics: Noise and Vibration Control, two experts in the field review the fundamentals of acoustics, noise, and vibration. The authors show how this theoretical work can be applied to real-world problems such as the control of noise and vibration in aircraft, automobiles and trucks, machinery, and road and rail vehicles.

Engineering Acoustics: Noise and Vibration Control covers a wide range of topics.

The sixteen chapters include the following:

  • Human hearing and individual and community response to noise and vibration
  • Noise and vibration instrumentation and measurements
  • Interior and exterior noise of aircraft as well as road and rail vehicles
  • Methods for the control of noise and vibration in industrial equipment and machinery


  • Table of Contents

    Series Preface xix

    Preface xxi

    Acknowledgements xxiii

    1 Introduction 1

    1.1 Introduction 1

    1.2 Types of Noise and Vibration Signals 1

    1.2.1 Stationary Signals 2

    1.2.2 Nonstationary Signals 2

    1.3 Frequency Analysis 3

    1.3.1 Fourier Series 3

    1.3.2 Nonperiodic Functions and the Fourier Spectrum 6

    1.3.3 Random Noise 6

    1.3.4 Mean Square Values 8

    1.3.5 Energy and Power Spectral Densities 9

    1.4 Frequency Analysis Using Filters 10

    1.5 Fast Fourier Transform Analysis 15

    References 17

    2 Vibration of Simple and Continuous Systems 19

    2.1 Introduction 19

    2.2 Simple Harmonic Motion 19

    2.2.1 Period, Frequency, and Phase 20

    2.2.2 Velocity and Acceleration 21

    2.3 Vibrating Systems 23

    2.3.1 Mass–Spring System 23

    2.4 Multi-Degree of Freedom Systems 30

    2.4.1 Free Vibration – Undamped 31

    2.4.2 Forced Vibration – Undamped 34

    2.4.3 Effect of Damping 36

    2.5 Continuous Systems 38

    2.5.1 Vibration of Beams 38

    2.5.2 Vibration of Thin Plates 41

    References 46

    3 Sound Generation and Propagation 49

    3.1 Introduction 49

    3.2 Wave Motion 49

    3.3 Plane Sound Waves 50

    3.3.1 Sound Pressure 54

    3.3.2 Particle Velocity 54

    3.3.3 Impedance and Sound Intensity 55

    3.3.4 Energy Density 55

    3.3.5 Sound Power 56

    3.4 Decibels and Levels 56

    3.4.1 Sound Pressure Level 56

    3.4.2 Sound Power Level 57

    3.4.3 Sound Intensity Level 57

    3.4.4 Combination of Decibels 58

    3.5 Three-dimensional Wave Equation 60

    3.6 Sources of Sound 61

    3.6.1 Sound Intensity 63

    3.7 Sound Power of Sources 63

    3.7.1 Sound Power of Idealized Sound Sources 63

    3.8 Sound Sources Above a Rigid Hard Surface 67

    3.9 Directivity 68

    3.9.1 Directivity Factor (Q(θ, ϕ)) 70

    3.9.2 Directivity Index 71

    3.10 Line Sources 71

    3.11 Reflection, Refraction, Scattering, and Diffraction 72

    3.12 Ray Acoustics 74

    3.13 Energy Acoustics 75

    3.14 Near Field, Far Field, Direct Field, and Reverberant Field 76

    3.14.1 Reverberation 76

    3.14.2 Sound Absorption 77

    3.14.3 Reverberation Time 78

    3.15 Room Equation 80

    3.15.1 Critical Distance 81

    3.15.2 Noise Reduction 82

    3.16 Sound Radiation From Idealized Structures 82

    3.17 Standing Waves 85

    3.18 Waveguides 91

    3.19 Other Approaches 92

    3.19.1 Acoustical Lumped Elements 92

    3.19.2 Numerical Approaches: Finite Elements and Boundary Elements 92

    3.19.3 Acoustic Modeling Using Equivalent Circuits 93

    References 93

    4 Human Hearing, Speech and Psychoacoustics 95

    4.1 Introduction 95

    4.2 Construction of Ear and Its Working 95

    4.2.1 Construction of the Ear 95

    4.2.2 Working of the Ear Mechanism 98

    4.2.3 Theories of Hearing 98

    4.3 Subjective Response 99

    4.3.1 Hearing Envelope 99

    4.3.2 Loudness Measurement 99

    4.3.3 Masking 103

    4.3.4 Pitch 107

    4.3.5 Weighted Sound Pressure Levels 108

    4.3.6 Critical Bands 111

    4.3.7 Frequency (Bark) 112

    4.3.8 Zwicker Loudness 113

    4.3.9 Loudness Adaptation 115

    4.3.10 Empirical Loudness Meter 115

    4.4 Hearing Loss and Diseases (Disorders) 116

    4.4.1 Conduction Hearing Loss 116

    4.4.2 Sensory-Neural Hearing Loss 117

    4.4.3 Presbycusis 118

    4.5 Speech Production 118

    References 122

    5 Effects of Noise, Vibration, and Shock on People 125

    5.1 Introduction 125

    5.2 Sleep Disturbance 125

    5.3 Annoyance 126

    5.4 Cardiovascular Effects 127

    5.5 Cognitive Impairment 129

    5.6 Infrasound, Low-Frequency Noise, and Ultrasound 130

    5.7 Intense Noise and Hearing Loss 131

    5.7.1 Theories for Noise-Induced Hearing Loss 132

    5.7.2 Impulsive and Impact Noise 133

    5.8 Occupational Noise Regulations 134

    5.8.1 Daily Noise Dose and Time-Weighted Average Calculation 137

    5.9 Hearing Protection 140

    5.9.1 Hearing Protectors 140

    5.9.2 Hearing Conservation Programs 143

    5.10 Effects of Vibration on People 144

    5.11 Metrics to Evaluate Effects of Vibration and Shock on People 147

    5.11.1 Acceleration Frequency Weightings 147

    5.11.2 Whole-Body Vibration Dose Value 147

    5.11.3 Evaluation of Hand-Transmitted Vibration 149

    References 151

    6 Description, Criteria, and Procedures Used to Determine Human Response to Noise and Vibration 155

    6.1 Introduction 155

    6.2 Loudness and Annoyance 155

    6.3 Loudness and Loudness Level 156

    6.4 Noisiness and Perceived Noise Level 157

    6.4.1 Noisiness 157

    6.4.2 Effective Perceived Noise Level 159

    6.5 Articulation Index and Speech Intelligibility Index 160

    6.6 Speech Interference Level 161

    6.7 Indoor Noise Criteria 162

    6.7.1 NC Curves 162

    6.7.2 NR Curves 163

    6.7.3 RC Curves 163

    6.7.4 Balanced NC Curves 165

    6.8 Equivalent Continuous SPL 166

    6.9 Sound Exposure Level 167

    6.10 Day–Night Equivalent SPL 168

    6.11 Percentile SPLs 170

    6.12 Evaluation of Aircraft Noise 170

    6.12.1 Composite Noise Rating 171

    6.12.2 Noise Exposure Forecast 172

    6.12.3 Noise and Number Index 172

    6.12.4 Equivalent A-Weighted SPL Leq, Day–Night Level Ldn, and Day–Evening–Night Level Lden 172

    6.13 Evaluation of Traffic Noise 172

    6.13.1 Traffic Noise Index 172

    6.13.2 Noise Pollution Level 173

    6.13.3 Equivalent SPL 173

    6.14 Evaluation of Community Noise 174

    6.15 Human Response 175

    6.15.1 Sleep Interference 175

    6.15.2 Annoyance 176

    6.16 Noise Criteria and Noise Regulations 180

    6.16.1 Noise Criteria 180

    6.17 Human Vibration Criteria 182

    6.17.1 Human Comfort in Buildings 182

    6.17.2 Effect of Vibration on Buildings 184

    References 185

    7 Noise and Vibration Transducers, Signal Processing, Analysis, and Measurements 189

    7.1 Introduction 189

    7.2 Typical Measurement Systems 189

    7.3 Transducers 190

    7.3.1 Transducer Characteristics 191

    7.3.2 Sensitivity 191

    7.3.3 Dynamic Range 193

    7.3.4 Frequency Response 195

    7.4 Noise Measurements 195

    7.4.1 Types of Microphones for Noise Measurements 196

    7.4.2 Directivity 199

    7.4.3 Transducer Calibration 199

    7.5 Vibration Measurements 202

    7.5.1 Principle of Seismic Mass Transducers 203

    7.5.2 Piezoelectric Accelerometers 206

    7.5.3 Measurement Difficulties 208

    7.5.4 Calibration, Metrology, and Traceability of Shock and Vibration Transducers 211

    7.6 Signal Analysis, Data Processing, and Specialized Noise And Vibration Measurements 211

    7.6.1 Signal Analysis and Data Processing 211

    7.6.2 Sound Level Meters (SLMs) and Dosimeters 211

    7.6.3 Sound Power and Sound Intensity 212

    7.6.4 Modal Analysis 212

    7.6.5 Condition Monitoring 213

    7.6.6 Advanced Noise and Vibration Analysis and Measurement Techniques 213

    References 214

    8 Sound Intensity, Measurements and Determination of Sound Power, Noise Source Identification, and Transmission Loss 217

    8.1 Introduction 217

    8.2 Historical Developments in the Measurement of Sound Pressure and Sound Intensity 217

    8.3 Theoretical Background 221

    8.4 Characteristics of Sound Fields 223

    8.4.1 Active and Reactive Intensity 223

    8.4.2 Plane Progressive Waves 223

    8.4.3 Standing Waves 225

    8.4.4 Vibrating Piston in a Tube 226

    8.5 Active and Reactive Sound Fields 228

    8.5.1 The Monopole Source 228

    8.5.2 The Dipole Source 230

    8.5.3 General Case 230

    8.6 Measurement of Sound Intensity 232

    8.6.1 The p–p Method 232

    8.6.2 The p–u Method 246

    8.6.3 The Surface Intensity Method 251

    8.7 Applications 253

    8.7.1 Sound Power Determination 255

    8.7.2 Noise Source Identification 259

    8.7.3 Noise Source Identification on a Diesel Engine Using Sound Intensity 259

    8.7.4 Measurements of the Transmission Loss of Structures Using Sound Intensity 265

    8.8 Comparison Between Sound Power Measurements Using Sound Intensity and Sound Pressure Methods 275

    8.8.1 Sound Intensity Method 277

    8.8.2 Sound Pressure Method 278

    8.9 Standards for Sound Intensity Measurements 280

    References 282

    9 Principles of Noise and Vibration Control 287

    9.1 Introduction 287

    9.2 Systematic Approach to Noise Problems 287

    9.2.1 Noise and Vibration Source Identification 288

    9.2.2 Noise Reduction Techniques 290

    9.3 Use of Vibration Isolators 290

    9.3.1 Theory of Vibration Isolation 291

    9.3.2 Machine Vibration 294

    9.3.3 Use of Inertia Blocks 295

    9.3.4 Other Considerations 296

    9.4 Use of Damping Materials 296

    9.4.1 Unconstrained Damping Layer 298

    9.4.2 Constrained Damping Layer 299

    9.5 Use of Sound Absorption 300

    9.5.1 Sound Absorption Coefficient 300

    9.5.2 Noise Reduction Coefficient 300

    9.5.3 Absorption by Porous Fibrous Materials 301

    9.5.4 Panel or Membrane Absorbers 306

    9.5.5 Helmholtz Resonator Absorbers 307

    9.5.6 Perforated Panel Absorbers 310

    9.5.7 Slit Absorbers 312

    9.5.8 Suspended Absorbers 314

    9.5.9 Acoustical Spray-on Materials 314

    9.5.10 Acoustical Plaster 315

    9.5.11 Measurement of Sound Absorption Coefficients 316

    9.5.12 Optimization of the Reverberation Time 316

    9.5.13 Reduction of the Sound Pressure Level in Reverberant Fields 318

    9.6 Acoustical Enclosures 319

    9.6.1 Reverberant Sound Field Model for Enclosures 319

    9.6.2 Machine Enclosure in Free Field 320

    9.6.3 Simple Enclosure Design Assuming Diffuse Reverberant Sound Fields 321

    9.6.4 Close-Fitting Enclosures 325

    9.6.5 Partial Enclosures 327

    9.6.6 Other Considerations 328

    9.7 Use of Barriers 330

    9.7.1 Transmission Loss of Barriers 334

    9.7.2 Use of Barriers Indoors 334

    9.7.3 Reflections from the Ground 337

    9.7.4 Use of Barriers Outdoors 338

    9.8 Active Noise and Vibration Control 339

    References 344

    10 Mufflers and Silencers – Absorbent and Reactive Types 351

    10.1 Introduction 351

    10.2 Muffler Classification 351

    10.3 Definitions of Muffler Performance 352

    10.4 Reactive Mufflers 352

    10.5 Historical Development of Reactive Muffler Theories 354

    10.6 Classical Reactive Muffler Theory 358

    10.6.1 Transmission Line Theory 358

    10.6.2 TL of Resonators 359

    10.6.3 NACA 1192 Study on Reactive Muffler TL 368

    10.6.4 Transfer Matrix Theory 371

    10.7 Exhaust System Modeling 374

    10.7.1 Transmission Loss 374

    10.7.2 Insertion Loss 375

    10.7.3 Sound Pressure Radiated from Tailpipe 376

    10.8 Tail Pipe Radiation Impedance, Source Impedance and Source Strength 377

    10.8.1 Tail Pipe Radiation 377

    10.8.2 Internal Combustion Engine Impedance and Source Strength 378

    10.9 Numerical Modeling of Muffler Acoustical Performance 380

    10.9.1 Finite Element Analysis 380

    10.9.2 Boundary Element Analysis 388

    10.9.3 TL of Concentric Tube Resonators 396

    10.10 Reactive Muffler IL 403

    10.11 Measurements of Source Impedance 403

    10.12 Dissipative Mufflers and Lined Ducts 406

    10.13 Historical Development of Dissipative Mufflers and Lined Duct Theories 406

    10.14 Parallel-Baffle Mufflers 407

    10.14.1 Embleton’s Method [8] 408

    10.14.2 Ver’s Method [11, 12, 136] 409

    10.14.3 Ingard’s Method [149] 411

    10.14.4 Bies and Hansen Method [14] 414

    10.14.5 Mechel’s Design Curves [152] 415

    10.14.6 Ramakrishnan and Watson Curves [151] 416

    10.14.7 Finite Element Approach for Attenuation of Parallel-Baffle Mufflers 418

    References 420

    11 Noise and Vibration Control of Machines 427

    11.1 Introduction 427

    11.2 Machine Element Noise and Vibration Sources and Control 427

    11.2.1 Gears 427

    11.2.2 Bearings 430

    11.2.3 Fans and Blowers 433

    11.2.4 Metal Cutting 438

    11.2.5 Woodworking 439

    11.3 Built-up Machines 443

    11.3.1 Internal Combustion Engines 443

    11.3.2 Electric Motors and Electrical Equipment 444

    11.3.3 Compressors 446

    11.3.4 Pumps 450

    11.4 Noise Due to Fluid Flow 454

    11.4.1 Valve-Induced Noise 454

    11.4.2 Hydraulic System Noise 456

    11.4.3 Furnace and Burner Noise 458

    11.5 Noise Control of Industrial Production Machinery 459

    11.5.1 Machine Tool Noise, Vibration, and Chatter 459

    11.5.2 Sound Power Level for Industrial Machinery 460

    References 460

    12 Noise and Vibration Control in Buildings 465

    12.1 Introduction 465

    12.2 Sound Transmission Theory for Single Panels 466

    12.2.1 Mass-Law Transmission Loss 466

    12.2.2 Random Incidence Transmission Loss 469

    12.2.3 The Coincidence Effect 474

    12.3 Sound Transmission for Double and Multiple Panels 476

    12.3.1 Sound Transmission Through Infinite Double Panels 476

    12.3.2 London’s Theory 477

    12.3.3 Empirical Approach 480

    12.4 Sound and Vibration Transmission and Structural Response Using Statistical Energy Analysis (SEA) 484

    12.4.1 Introduction 484

    12.4.2 SEA Fundamentals and Assumptions 484

    12.4.3 Power Flow Between Coupled Systems 496

    12.4.4 Modal Behavior of Panel 496

    12.4.5 Use of SEA to Predict Sound Transmission Through Panels or Partitions 497

    12.4.6 Design of Enclosures Using SEA 503

    12.4.7 Optimization of Enclosure Attenuation 506

    12.4.8 SEA Computer Codes 508

    12.5 Transmission Through Composite Walls 508

    12.6 Effects of Leaks and Flanking Transmission 511

    12.7 Sound Transmission Measurement Techniques 514

    12.7.1 Laboratory Methods of Measuring Transmission Loss 514

    12.7.2 Measurements of Transmission Loss in the Field 519

    12.8 Single-Number Ratings for Partitions 520

    12.9 Impact Sound Transmission 523

    12.9.1 Laboratory and Field Measurements of Impact Transmission 524

    12.9.2 Rating of Impact Sound Transmission 526

    12.10 Measured Airborne and Impact Sound Transmission (Insulation) Data 527

    12.10.1 Gypsum Board Walls 528

    12.10.2 Masonry Walls 528

    12.10.3 Airborne and Impact Insulation of Floors 530

    12.10.4 Doors and Windows 533

    12.11 Sound Insulation Requirements 534

    12.12 Control of Vibration of Buildings Caused by Strong Wind 541

    12.12.1 Wind Excitation of Buildings 542

    12.12.2 Structural Vibration Response of Buildings and Towers 544

    12.12.3 Methods of Building Structure Vibration Reduction and Control 546

    12.12.4 Human Response to Vibration and Acceptability Criteria 548

    References 549

    13 Design of Air-conditioning Systems for Noise and Vibration Control 557

    13.1 Introduction 557

    13.2 Interior Noise Level Design Criteria 558

    13.3 General Features of a Ventilation System 558

    13.3.1 HVAC Systems in Residential Homes 559

    13.3.2 HVAC Systems in Large Buildings 559

    13.3.3 Correct and Incorrect Installation of HVAC Systems 562

    13.3.4 Sources of Noise and Causes of Complaints in HVAC Systems 564

    13.4 Fan Noise 565

    13.4.1 Types of Fans Used in HVAC Systems 568

    13.4.2 Blade passing Frequency (BPF) 569

    13.4.3 Fan Efficiency 571

    13.4.4 Sound Power and Frequency Content of Fans 573

    13.4.5 Sound Power Levels of Fans and Predictions 574

    13.4.6 Prediction of Fan Sound Power Level 575

    13.4.7 Importance of Proper Installation of Centrifugal Fans 577

    13.4.8 Terminal Units (CAV, VAV, and Fan-Powered VAV Boxes) 579

    13.5 Space Planning 581

    13.6 Mechanical Room Noise and Vibration Control 583

    13.6.1 Use of Floating Floors 584

    13.6.2 Vibration Control of Equipment 588

    13.6.3 Selection of Vibration Isolators 588

    13.6.4 Vibration Isolation of Ducts, Pipes, and Wiring 596

    13.7 Sound Attenuation in Ventilation Systems 598

    13.7.1 Use of Fiberglass in Plenum Chambers, Mufflers, and HVAC Ducts 598

    13.7.2 Attenuation of Plenum Chambers 598

    13.7.3 Duct Attenuation 603

    13.7.4 Sound Attenuators (Silencers) 607

    13.7.5 Branches and Power Splits 609

    13.7.6 Attenuation Due to End Reflection 610

    13.7.7 Attenuation by Miter Bends 613

    13.8 Sound Generation in Mechanical Systems 614

    13.8.1 Elbow Noise 614

    13.8.2 Take-off Noise 617

    13.8.3 Grille Noise 618

    13.8.4 Diffuser Noise 620

    13.8.5 Damper Noise 620

    13.9 Radiated Noise 621

    13.9.1 Duct-Radiated Noise 623

    13.9.2 Sound Breakout and Breakin From Ducts 624

    13.9.3 Mixing Box Radiated Noise 627

    13.9.4 Radiation From Fan Plenum Walls 628

    13.9.5 Overall Sound Pressure Level Prediction 628

    References 631

    14 Surface Transportation Noise and Vibration Sources and Control 633

    14.1 Introduction 633

    14.2 Automobile and Truck Noise Sources and Control 633

    14.2.1 Power Plant Noise and Its Control 635

    14.2.2 Intake and Exhaust Noise and Muffler Design 639

    14.2.3 Tire/Road Noise Sources and Control 640

    14.2.4 Aerodynamic Noise Sources on Vehicles 642

    14.2.5 Gearbox Noise and Vibration 643

    14.2.6 Brake Noise Prediction and Control 644

    14.3 Interior Road Vehicle Cabin Noise 644

    14.3.1 Automobiles and Trucks 644

    14.3.2 Off-Road Vehicles 649

    14.4 Railroad and Rapid Transit Vehicle Noise and Vibration Sources 650

    14.4.1 Wheel–Rail Interaction Noise 650

    14.4.2 Interior Rail Vehicle Cabin Noise 651

    14.5 Noise And Vibration Control in Ships 654

    References 656

    15 Aircraft and Airport Transportation Noise Sources and Control 661

    15.1 Introduction 661

    15.2 Jet Engine Noise Sources and Control 661

    15.3 Propeller and Rotor Noise Sources and Control 663

    15.4 Helicopter and Rotor Noise 663

    15.5 Aircraft Cabin Noise and Vibration and Its Control 666

    15.5.1 Passive Noise and Vibration Control 666

    15.5.2 Active Noise and Vibration Control 668

    15.6 Airport Noise Control 669

    15.6.1 Noise Control at the Source 669

    15.6.2 Airport-specific Noise Control Measures 670

    References 673

    16 Community Noise and Vibration Sources 677

    16.1 Introduction 677

    16.2 Assessment of Community Noise Annoyance 677

    16.3 Community Noise and Vibration Sources and Control 680

    16.3.1 Traffic Noise Sources 680

    16.3.2 Rail System Noise Sources 683

    16.3.3 Ground-Borne Vibration Transmission from Road and Rail Systems 683

    16.3.4 Aircraft and Airport Noise Prediction and Control 684

    16.3.5 Off-road Vehicle and Construction Equipment Exterior Noise Prediction and Control 687

    16.3.6 Industrial and Commercial Noise in the Community 688

    16.3.7 Construction and Building Site Noise 688

    16.4 Environmental Impact Assessment 689

    16.5 Environmental Noise and Vibration Attenuation 690

    16.5.1 Attenuation Provided by Barriers, Earth Berms, Buildings, and Vegetation 690

    16.5.2 Base Isolation of Buildings for Control of Ground-Borne Vibration 692

    16.5.3 Noise Control Using Porous Road Surfaces 693

    16.6 City Planning for Noise and Vibration Reduction and Soundscape Concepts 694

    16.6.1 Community Noise Ordinances 694

    16.6.2 Recommendations for Urban Projects 697

    16.6.3 Strategic Noise Maps 697

    16.6.4 Soundscapes 698

    References 699

    Glossary 705

    Index 737

Engineering Acoustics

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      Publisher: John Wiley & Sons Inc
      Publication Date: 13/01/2021
      ISBN13: 9781118496428, 978-1118496428
      ISBN10: 1118496426

      Description

      Book Synopsis

      ENGINEERING ACOUSTICS
      NOISE AND VIBRATION CONTROL

      A masterful introduction to the theory of acoustics along with methods for the control of noise and vibration

      In Engineering Acoustics: Noise and Vibration Control, two experts in the field review the fundamentals of acoustics, noise, and vibration. The authors show how this theoretical work can be applied to real-world problems such as the control of noise and vibration in aircraft, automobiles and trucks, machinery, and road and rail vehicles.

      Engineering Acoustics: Noise and Vibration Control covers a wide range of topics.

      The sixteen chapters include the following:

      • Human hearing and individual and community response to noise and vibration
      • Noise and vibration instrumentation and measurements
      • Interior and exterior noise of aircraft as well as road and rail vehicles
      • Methods for the control of noise and vibration in industrial equipment and machinery


      • Table of Contents

        Series Preface xix

        Preface xxi

        Acknowledgements xxiii

        1 Introduction 1

        1.1 Introduction 1

        1.2 Types of Noise and Vibration Signals 1

        1.2.1 Stationary Signals 2

        1.2.2 Nonstationary Signals 2

        1.3 Frequency Analysis 3

        1.3.1 Fourier Series 3

        1.3.2 Nonperiodic Functions and the Fourier Spectrum 6

        1.3.3 Random Noise 6

        1.3.4 Mean Square Values 8

        1.3.5 Energy and Power Spectral Densities 9

        1.4 Frequency Analysis Using Filters 10

        1.5 Fast Fourier Transform Analysis 15

        References 17

        2 Vibration of Simple and Continuous Systems 19

        2.1 Introduction 19

        2.2 Simple Harmonic Motion 19

        2.2.1 Period, Frequency, and Phase 20

        2.2.2 Velocity and Acceleration 21

        2.3 Vibrating Systems 23

        2.3.1 Mass–Spring System 23

        2.4 Multi-Degree of Freedom Systems 30

        2.4.1 Free Vibration – Undamped 31

        2.4.2 Forced Vibration – Undamped 34

        2.4.3 Effect of Damping 36

        2.5 Continuous Systems 38

        2.5.1 Vibration of Beams 38

        2.5.2 Vibration of Thin Plates 41

        References 46

        3 Sound Generation and Propagation 49

        3.1 Introduction 49

        3.2 Wave Motion 49

        3.3 Plane Sound Waves 50

        3.3.1 Sound Pressure 54

        3.3.2 Particle Velocity 54

        3.3.3 Impedance and Sound Intensity 55

        3.3.4 Energy Density 55

        3.3.5 Sound Power 56

        3.4 Decibels and Levels 56

        3.4.1 Sound Pressure Level 56

        3.4.2 Sound Power Level 57

        3.4.3 Sound Intensity Level 57

        3.4.4 Combination of Decibels 58

        3.5 Three-dimensional Wave Equation 60

        3.6 Sources of Sound 61

        3.6.1 Sound Intensity 63

        3.7 Sound Power of Sources 63

        3.7.1 Sound Power of Idealized Sound Sources 63

        3.8 Sound Sources Above a Rigid Hard Surface 67

        3.9 Directivity 68

        3.9.1 Directivity Factor (Q(θ, ϕ)) 70

        3.9.2 Directivity Index 71

        3.10 Line Sources 71

        3.11 Reflection, Refraction, Scattering, and Diffraction 72

        3.12 Ray Acoustics 74

        3.13 Energy Acoustics 75

        3.14 Near Field, Far Field, Direct Field, and Reverberant Field 76

        3.14.1 Reverberation 76

        3.14.2 Sound Absorption 77

        3.14.3 Reverberation Time 78

        3.15 Room Equation 80

        3.15.1 Critical Distance 81

        3.15.2 Noise Reduction 82

        3.16 Sound Radiation From Idealized Structures 82

        3.17 Standing Waves 85

        3.18 Waveguides 91

        3.19 Other Approaches 92

        3.19.1 Acoustical Lumped Elements 92

        3.19.2 Numerical Approaches: Finite Elements and Boundary Elements 92

        3.19.3 Acoustic Modeling Using Equivalent Circuits 93

        References 93

        4 Human Hearing, Speech and Psychoacoustics 95

        4.1 Introduction 95

        4.2 Construction of Ear and Its Working 95

        4.2.1 Construction of the Ear 95

        4.2.2 Working of the Ear Mechanism 98

        4.2.3 Theories of Hearing 98

        4.3 Subjective Response 99

        4.3.1 Hearing Envelope 99

        4.3.2 Loudness Measurement 99

        4.3.3 Masking 103

        4.3.4 Pitch 107

        4.3.5 Weighted Sound Pressure Levels 108

        4.3.6 Critical Bands 111

        4.3.7 Frequency (Bark) 112

        4.3.8 Zwicker Loudness 113

        4.3.9 Loudness Adaptation 115

        4.3.10 Empirical Loudness Meter 115

        4.4 Hearing Loss and Diseases (Disorders) 116

        4.4.1 Conduction Hearing Loss 116

        4.4.2 Sensory-Neural Hearing Loss 117

        4.4.3 Presbycusis 118

        4.5 Speech Production 118

        References 122

        5 Effects of Noise, Vibration, and Shock on People 125

        5.1 Introduction 125

        5.2 Sleep Disturbance 125

        5.3 Annoyance 126

        5.4 Cardiovascular Effects 127

        5.5 Cognitive Impairment 129

        5.6 Infrasound, Low-Frequency Noise, and Ultrasound 130

        5.7 Intense Noise and Hearing Loss 131

        5.7.1 Theories for Noise-Induced Hearing Loss 132

        5.7.2 Impulsive and Impact Noise 133

        5.8 Occupational Noise Regulations 134

        5.8.1 Daily Noise Dose and Time-Weighted Average Calculation 137

        5.9 Hearing Protection 140

        5.9.1 Hearing Protectors 140

        5.9.2 Hearing Conservation Programs 143

        5.10 Effects of Vibration on People 144

        5.11 Metrics to Evaluate Effects of Vibration and Shock on People 147

        5.11.1 Acceleration Frequency Weightings 147

        5.11.2 Whole-Body Vibration Dose Value 147

        5.11.3 Evaluation of Hand-Transmitted Vibration 149

        References 151

        6 Description, Criteria, and Procedures Used to Determine Human Response to Noise and Vibration 155

        6.1 Introduction 155

        6.2 Loudness and Annoyance 155

        6.3 Loudness and Loudness Level 156

        6.4 Noisiness and Perceived Noise Level 157

        6.4.1 Noisiness 157

        6.4.2 Effective Perceived Noise Level 159

        6.5 Articulation Index and Speech Intelligibility Index 160

        6.6 Speech Interference Level 161

        6.7 Indoor Noise Criteria 162

        6.7.1 NC Curves 162

        6.7.2 NR Curves 163

        6.7.3 RC Curves 163

        6.7.4 Balanced NC Curves 165

        6.8 Equivalent Continuous SPL 166

        6.9 Sound Exposure Level 167

        6.10 Day–Night Equivalent SPL 168

        6.11 Percentile SPLs 170

        6.12 Evaluation of Aircraft Noise 170

        6.12.1 Composite Noise Rating 171

        6.12.2 Noise Exposure Forecast 172

        6.12.3 Noise and Number Index 172

        6.12.4 Equivalent A-Weighted SPL Leq, Day–Night Level Ldn, and Day–Evening–Night Level Lden 172

        6.13 Evaluation of Traffic Noise 172

        6.13.1 Traffic Noise Index 172

        6.13.2 Noise Pollution Level 173

        6.13.3 Equivalent SPL 173

        6.14 Evaluation of Community Noise 174

        6.15 Human Response 175

        6.15.1 Sleep Interference 175

        6.15.2 Annoyance 176

        6.16 Noise Criteria and Noise Regulations 180

        6.16.1 Noise Criteria 180

        6.17 Human Vibration Criteria 182

        6.17.1 Human Comfort in Buildings 182

        6.17.2 Effect of Vibration on Buildings 184

        References 185

        7 Noise and Vibration Transducers, Signal Processing, Analysis, and Measurements 189

        7.1 Introduction 189

        7.2 Typical Measurement Systems 189

        7.3 Transducers 190

        7.3.1 Transducer Characteristics 191

        7.3.2 Sensitivity 191

        7.3.3 Dynamic Range 193

        7.3.4 Frequency Response 195

        7.4 Noise Measurements 195

        7.4.1 Types of Microphones for Noise Measurements 196

        7.4.2 Directivity 199

        7.4.3 Transducer Calibration 199

        7.5 Vibration Measurements 202

        7.5.1 Principle of Seismic Mass Transducers 203

        7.5.2 Piezoelectric Accelerometers 206

        7.5.3 Measurement Difficulties 208

        7.5.4 Calibration, Metrology, and Traceability of Shock and Vibration Transducers 211

        7.6 Signal Analysis, Data Processing, and Specialized Noise And Vibration Measurements 211

        7.6.1 Signal Analysis and Data Processing 211

        7.6.2 Sound Level Meters (SLMs) and Dosimeters 211

        7.6.3 Sound Power and Sound Intensity 212

        7.6.4 Modal Analysis 212

        7.6.5 Condition Monitoring 213

        7.6.6 Advanced Noise and Vibration Analysis and Measurement Techniques 213

        References 214

        8 Sound Intensity, Measurements and Determination of Sound Power, Noise Source Identification, and Transmission Loss 217

        8.1 Introduction 217

        8.2 Historical Developments in the Measurement of Sound Pressure and Sound Intensity 217

        8.3 Theoretical Background 221

        8.4 Characteristics of Sound Fields 223

        8.4.1 Active and Reactive Intensity 223

        8.4.2 Plane Progressive Waves 223

        8.4.3 Standing Waves 225

        8.4.4 Vibrating Piston in a Tube 226

        8.5 Active and Reactive Sound Fields 228

        8.5.1 The Monopole Source 228

        8.5.2 The Dipole Source 230

        8.5.3 General Case 230

        8.6 Measurement of Sound Intensity 232

        8.6.1 The p–p Method 232

        8.6.2 The p–u Method 246

        8.6.3 The Surface Intensity Method 251

        8.7 Applications 253

        8.7.1 Sound Power Determination 255

        8.7.2 Noise Source Identification 259

        8.7.3 Noise Source Identification on a Diesel Engine Using Sound Intensity 259

        8.7.4 Measurements of the Transmission Loss of Structures Using Sound Intensity 265

        8.8 Comparison Between Sound Power Measurements Using Sound Intensity and Sound Pressure Methods 275

        8.8.1 Sound Intensity Method 277

        8.8.2 Sound Pressure Method 278

        8.9 Standards for Sound Intensity Measurements 280

        References 282

        9 Principles of Noise and Vibration Control 287

        9.1 Introduction 287

        9.2 Systematic Approach to Noise Problems 287

        9.2.1 Noise and Vibration Source Identification 288

        9.2.2 Noise Reduction Techniques 290

        9.3 Use of Vibration Isolators 290

        9.3.1 Theory of Vibration Isolation 291

        9.3.2 Machine Vibration 294

        9.3.3 Use of Inertia Blocks 295

        9.3.4 Other Considerations 296

        9.4 Use of Damping Materials 296

        9.4.1 Unconstrained Damping Layer 298

        9.4.2 Constrained Damping Layer 299

        9.5 Use of Sound Absorption 300

        9.5.1 Sound Absorption Coefficient 300

        9.5.2 Noise Reduction Coefficient 300

        9.5.3 Absorption by Porous Fibrous Materials 301

        9.5.4 Panel or Membrane Absorbers 306

        9.5.5 Helmholtz Resonator Absorbers 307

        9.5.6 Perforated Panel Absorbers 310

        9.5.7 Slit Absorbers 312

        9.5.8 Suspended Absorbers 314

        9.5.9 Acoustical Spray-on Materials 314

        9.5.10 Acoustical Plaster 315

        9.5.11 Measurement of Sound Absorption Coefficients 316

        9.5.12 Optimization of the Reverberation Time 316

        9.5.13 Reduction of the Sound Pressure Level in Reverberant Fields 318

        9.6 Acoustical Enclosures 319

        9.6.1 Reverberant Sound Field Model for Enclosures 319

        9.6.2 Machine Enclosure in Free Field 320

        9.6.3 Simple Enclosure Design Assuming Diffuse Reverberant Sound Fields 321

        9.6.4 Close-Fitting Enclosures 325

        9.6.5 Partial Enclosures 327

        9.6.6 Other Considerations 328

        9.7 Use of Barriers 330

        9.7.1 Transmission Loss of Barriers 334

        9.7.2 Use of Barriers Indoors 334

        9.7.3 Reflections from the Ground 337

        9.7.4 Use of Barriers Outdoors 338

        9.8 Active Noise and Vibration Control 339

        References 344

        10 Mufflers and Silencers – Absorbent and Reactive Types 351

        10.1 Introduction 351

        10.2 Muffler Classification 351

        10.3 Definitions of Muffler Performance 352

        10.4 Reactive Mufflers 352

        10.5 Historical Development of Reactive Muffler Theories 354

        10.6 Classical Reactive Muffler Theory 358

        10.6.1 Transmission Line Theory 358

        10.6.2 TL of Resonators 359

        10.6.3 NACA 1192 Study on Reactive Muffler TL 368

        10.6.4 Transfer Matrix Theory 371

        10.7 Exhaust System Modeling 374

        10.7.1 Transmission Loss 374

        10.7.2 Insertion Loss 375

        10.7.3 Sound Pressure Radiated from Tailpipe 376

        10.8 Tail Pipe Radiation Impedance, Source Impedance and Source Strength 377

        10.8.1 Tail Pipe Radiation 377

        10.8.2 Internal Combustion Engine Impedance and Source Strength 378

        10.9 Numerical Modeling of Muffler Acoustical Performance 380

        10.9.1 Finite Element Analysis 380

        10.9.2 Boundary Element Analysis 388

        10.9.3 TL of Concentric Tube Resonators 396

        10.10 Reactive Muffler IL 403

        10.11 Measurements of Source Impedance 403

        10.12 Dissipative Mufflers and Lined Ducts 406

        10.13 Historical Development of Dissipative Mufflers and Lined Duct Theories 406

        10.14 Parallel-Baffle Mufflers 407

        10.14.1 Embleton’s Method [8] 408

        10.14.2 Ver’s Method [11, 12, 136] 409

        10.14.3 Ingard’s Method [149] 411

        10.14.4 Bies and Hansen Method [14] 414

        10.14.5 Mechel’s Design Curves [152] 415

        10.14.6 Ramakrishnan and Watson Curves [151] 416

        10.14.7 Finite Element Approach for Attenuation of Parallel-Baffle Mufflers 418

        References 420

        11 Noise and Vibration Control of Machines 427

        11.1 Introduction 427

        11.2 Machine Element Noise and Vibration Sources and Control 427

        11.2.1 Gears 427

        11.2.2 Bearings 430

        11.2.3 Fans and Blowers 433

        11.2.4 Metal Cutting 438

        11.2.5 Woodworking 439

        11.3 Built-up Machines 443

        11.3.1 Internal Combustion Engines 443

        11.3.2 Electric Motors and Electrical Equipment 444

        11.3.3 Compressors 446

        11.3.4 Pumps 450

        11.4 Noise Due to Fluid Flow 454

        11.4.1 Valve-Induced Noise 454

        11.4.2 Hydraulic System Noise 456

        11.4.3 Furnace and Burner Noise 458

        11.5 Noise Control of Industrial Production Machinery 459

        11.5.1 Machine Tool Noise, Vibration, and Chatter 459

        11.5.2 Sound Power Level for Industrial Machinery 460

        References 460

        12 Noise and Vibration Control in Buildings 465

        12.1 Introduction 465

        12.2 Sound Transmission Theory for Single Panels 466

        12.2.1 Mass-Law Transmission Loss 466

        12.2.2 Random Incidence Transmission Loss 469

        12.2.3 The Coincidence Effect 474

        12.3 Sound Transmission for Double and Multiple Panels 476

        12.3.1 Sound Transmission Through Infinite Double Panels 476

        12.3.2 London’s Theory 477

        12.3.3 Empirical Approach 480

        12.4 Sound and Vibration Transmission and Structural Response Using Statistical Energy Analysis (SEA) 484

        12.4.1 Introduction 484

        12.4.2 SEA Fundamentals and Assumptions 484

        12.4.3 Power Flow Between Coupled Systems 496

        12.4.4 Modal Behavior of Panel 496

        12.4.5 Use of SEA to Predict Sound Transmission Through Panels or Partitions 497

        12.4.6 Design of Enclosures Using SEA 503

        12.4.7 Optimization of Enclosure Attenuation 506

        12.4.8 SEA Computer Codes 508

        12.5 Transmission Through Composite Walls 508

        12.6 Effects of Leaks and Flanking Transmission 511

        12.7 Sound Transmission Measurement Techniques 514

        12.7.1 Laboratory Methods of Measuring Transmission Loss 514

        12.7.2 Measurements of Transmission Loss in the Field 519

        12.8 Single-Number Ratings for Partitions 520

        12.9 Impact Sound Transmission 523

        12.9.1 Laboratory and Field Measurements of Impact Transmission 524

        12.9.2 Rating of Impact Sound Transmission 526

        12.10 Measured Airborne and Impact Sound Transmission (Insulation) Data 527

        12.10.1 Gypsum Board Walls 528

        12.10.2 Masonry Walls 528

        12.10.3 Airborne and Impact Insulation of Floors 530

        12.10.4 Doors and Windows 533

        12.11 Sound Insulation Requirements 534

        12.12 Control of Vibration of Buildings Caused by Strong Wind 541

        12.12.1 Wind Excitation of Buildings 542

        12.12.2 Structural Vibration Response of Buildings and Towers 544

        12.12.3 Methods of Building Structure Vibration Reduction and Control 546

        12.12.4 Human Response to Vibration and Acceptability Criteria 548

        References 549

        13 Design of Air-conditioning Systems for Noise and Vibration Control 557

        13.1 Introduction 557

        13.2 Interior Noise Level Design Criteria 558

        13.3 General Features of a Ventilation System 558

        13.3.1 HVAC Systems in Residential Homes 559

        13.3.2 HVAC Systems in Large Buildings 559

        13.3.3 Correct and Incorrect Installation of HVAC Systems 562

        13.3.4 Sources of Noise and Causes of Complaints in HVAC Systems 564

        13.4 Fan Noise 565

        13.4.1 Types of Fans Used in HVAC Systems 568

        13.4.2 Blade passing Frequency (BPF) 569

        13.4.3 Fan Efficiency 571

        13.4.4 Sound Power and Frequency Content of Fans 573

        13.4.5 Sound Power Levels of Fans and Predictions 574

        13.4.6 Prediction of Fan Sound Power Level 575

        13.4.7 Importance of Proper Installation of Centrifugal Fans 577

        13.4.8 Terminal Units (CAV, VAV, and Fan-Powered VAV Boxes) 579

        13.5 Space Planning 581

        13.6 Mechanical Room Noise and Vibration Control 583

        13.6.1 Use of Floating Floors 584

        13.6.2 Vibration Control of Equipment 588

        13.6.3 Selection of Vibration Isolators 588

        13.6.4 Vibration Isolation of Ducts, Pipes, and Wiring 596

        13.7 Sound Attenuation in Ventilation Systems 598

        13.7.1 Use of Fiberglass in Plenum Chambers, Mufflers, and HVAC Ducts 598

        13.7.2 Attenuation of Plenum Chambers 598

        13.7.3 Duct Attenuation 603

        13.7.4 Sound Attenuators (Silencers) 607

        13.7.5 Branches and Power Splits 609

        13.7.6 Attenuation Due to End Reflection 610

        13.7.7 Attenuation by Miter Bends 613

        13.8 Sound Generation in Mechanical Systems 614

        13.8.1 Elbow Noise 614

        13.8.2 Take-off Noise 617

        13.8.3 Grille Noise 618

        13.8.4 Diffuser Noise 620

        13.8.5 Damper Noise 620

        13.9 Radiated Noise 621

        13.9.1 Duct-Radiated Noise 623

        13.9.2 Sound Breakout and Breakin From Ducts 624

        13.9.3 Mixing Box Radiated Noise 627

        13.9.4 Radiation From Fan Plenum Walls 628

        13.9.5 Overall Sound Pressure Level Prediction 628

        References 631

        14 Surface Transportation Noise and Vibration Sources and Control 633

        14.1 Introduction 633

        14.2 Automobile and Truck Noise Sources and Control 633

        14.2.1 Power Plant Noise and Its Control 635

        14.2.2 Intake and Exhaust Noise and Muffler Design 639

        14.2.3 Tire/Road Noise Sources and Control 640

        14.2.4 Aerodynamic Noise Sources on Vehicles 642

        14.2.5 Gearbox Noise and Vibration 643

        14.2.6 Brake Noise Prediction and Control 644

        14.3 Interior Road Vehicle Cabin Noise 644

        14.3.1 Automobiles and Trucks 644

        14.3.2 Off-Road Vehicles 649

        14.4 Railroad and Rapid Transit Vehicle Noise and Vibration Sources 650

        14.4.1 Wheel–Rail Interaction Noise 650

        14.4.2 Interior Rail Vehicle Cabin Noise 651

        14.5 Noise And Vibration Control in Ships 654

        References 656

        15 Aircraft and Airport Transportation Noise Sources and Control 661

        15.1 Introduction 661

        15.2 Jet Engine Noise Sources and Control 661

        15.3 Propeller and Rotor Noise Sources and Control 663

        15.4 Helicopter and Rotor Noise 663

        15.5 Aircraft Cabin Noise and Vibration and Its Control 666

        15.5.1 Passive Noise and Vibration Control 666

        15.5.2 Active Noise and Vibration Control 668

        15.6 Airport Noise Control 669

        15.6.1 Noise Control at the Source 669

        15.6.2 Airport-specific Noise Control Measures 670

        References 673

        16 Community Noise and Vibration Sources 677

        16.1 Introduction 677

        16.2 Assessment of Community Noise Annoyance 677

        16.3 Community Noise and Vibration Sources and Control 680

        16.3.1 Traffic Noise Sources 680

        16.3.2 Rail System Noise Sources 683

        16.3.3 Ground-Borne Vibration Transmission from Road and Rail Systems 683

        16.3.4 Aircraft and Airport Noise Prediction and Control 684

        16.3.5 Off-road Vehicle and Construction Equipment Exterior Noise Prediction and Control 687

        16.3.6 Industrial and Commercial Noise in the Community 688

        16.3.7 Construction and Building Site Noise 688

        16.4 Environmental Impact Assessment 689

        16.5 Environmental Noise and Vibration Attenuation 690

        16.5.1 Attenuation Provided by Barriers, Earth Berms, Buildings, and Vegetation 690

        16.5.2 Base Isolation of Buildings for Control of Ground-Borne Vibration 692

        16.5.3 Noise Control Using Porous Road Surfaces 693

        16.6 City Planning for Noise and Vibration Reduction and Soundscape Concepts 694

        16.6.1 Community Noise Ordinances 694

        16.6.2 Recommendations for Urban Projects 697

        16.6.3 Strategic Noise Maps 697

        16.6.4 Soundscapes 698

        References 699

        Glossary 705

        Index 737

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