Preface xvAcknowledgments xixAcronyms xxi1 Linear Systems, Random Process and Signals 11.1 The Damped Harmonic Oscillator 11.2 Forced Harmonic Oscillator 51.3 Two Degrees of Freedom Systems (2DOF) 151.4 Multiple Degrees of Freedom Systems MDOF 201.5 Random Process 271.6 Systems 341.7 Multiple-input--multiple-output Systems 372 Waves in Fluids 432.1 Introduction 432.2 Wave Equation for Fluids 432.3 Solutions of the Wave Equation 482.4 Fundamental Acoustic Sources 532.5 Reflection of Plane Waves 592.6 Reflection and Transmission of Plane Waves 602.7 Inhomogeneous Wave Equation 622.8 Units, Measures, and levels 723 Wave Propagation in Structures 753.1 Introduction 753.2 Basic Equations and Definitions 763.3 Wave Equation 833.4 Waves in Infinite Solids 873.5 Beams 883.6 Membranes 993.7 Plates 1013.8 Propagation of Energy in Dispersive Waves 1153.9 Findings 1164 Fluid Systems 1194.1 One-dimensional Systems 1194.2 Three-dimensional Systems 1284.3 Numerical Solutions 1394.4 Reciprocity 1425 Structure Systems 1455.1 Introduction 1455.2 One-dimensional Systems 1465.3 Two-dimensional Systems 1515.4 Reciprocity 1555.5 Numerical Solutions 1566 Random Description of Systems 1596.1 Diffuse Wave Field 1606.2 Ensemble Averaging of Deterministic Systems 1696.3 One-Dimensional Systems 1696.4 Two-Dimensional Systems 1786.5 Three-Dimensional Systems -- Cavities 1826.6 Surface Load of Diffuse Acoustic Fields 1886.7 Mode Wave Duality 1896.8 SEA System Description 1927 Coupled Systems 2017.1 Deterministic Subsystems and their Degrees of Freedom 2027.2 Coupling Deterministic Systems 2027.3 Coupling Random Systems 2067.4 Hybrid FEM/SEA Method 2137.5 Hybrid Modelling in Modal Coordinates 2208 Coupling Loss Factors 2238.1 Transmission Coefficients and Coupling Loss Factors 2248.2 Radiation Stiffness and Coupling Loss Factors 2279 Deterministic Applications 2719.1 Acoustic One-Dimensional Elements 2719.2 Coupled One-Dimensional Systems 2869.3 Infinite Layers 2969.4 Acoustic Absorber 3029.5 Acoustic Wall Constructions 30810 Application of Random systems 31910.1 Frequency Bands for SEA Simulation 31910.2 Fluid Systems 32010.3 Algorithms of SEA 32310.4 Coupled Plate Systems 32410.5 Fluid-Structure Coupled Systems 32711 Hybrid Systems 34311.1 Hybrid SEA Matrix 34311.2 Twin Chamber 34311.3 Trim in Hybrid Theory 35012 Industrial Cases 35912.1 Simulation Strategy 35912.2 Aircraft 36112.3 Automotive 37212.4 Trains 38012.5 Summary 39413 Conclusions and Outlook 39913.1 Conclusions 39913.2 What Comes Next? 39913.3 Experimental Methods 39913.4 Further Reading on Simulation 40413.5 Energy Flow Method and Influence Coefficient 40413.6 Vibroacoustics Simulation Software 406A Basic Mathematics 411A.1 Fourier Analysis 411A.2 Discrete Signal Analysis 418A.3 Coordinate Transformation of Discrete Equation of Motion 423Bibliography 424B Specific Solutions 425B.1 Second Moments of Area 425B.2 Wave Transmission 426B.3 Conversion Formulas of Transfer Matrix 436Bibliography 437C Symbols 439Index 445
Alexander Peiffer, PhD, is Head of Team Whole Vehicle Acoustics of Electric Platforms and Active Systems at Audi AG. He has over 20 years' experience in technical acoustics and industrial research, focusing on statistical energy analysis methods and finite element simulation. He previously held positions as Head of Vibroacoustics and Dynamics and Head of Noise and Vibration Control at Airbus Group Innovations and serves as a guest lecturer for industrial acoustics courses at Technical University-Munich.