Vibroacoustic Simulation. Alexander Peiffer

      

Vibroacoustic Simulation

      An Introduction to Statistical Energy Analysis and Hybrid Methods

       Alexander Peiffer

This edition first published 2022

      © 2022 by John Wiley & Sons, Inc.

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      A catalogue record for this book is available from the Library of Congress

      Hardback ISBN: 9781119849841; ePub ISBN: 9781119849865; ePDF ISBN: 9781119849858; Obook ISBN: 9781119849872

      Cover image: © visibleimpression/Shutterstock; Courtesy of Alexander Peiffer

      Cover design by Wiley

      Set in 10/12.5pt STIXTwoText by Integra Software Services Pvt. Ltd, Pondicherry, India

To my parents and Ivonnne my love who always supported me

Contents

      1  Cover

      2  Title page

      3  Copyright

      4  Dedication

      5  Preface

      6  Acknowledgments

      7  Acronyms

      8 1 Linear Systems, Random Process and Signals1.1 The Damped Harmonic Oscillator1.1.1 Homogeneous Solutions1.1.2 The Overdamped Oscillator (ζ < 1)1.1.3 The Underdamped Oscillator (ζ < 1)1.1.4 The Critically Damped Oscillator (ζ = 1)1.2 Forced Harmonic Oscillator1.2.1 Frequency Response1.2.2 Energy, Power and Impedance1.2.3 Impedance and Response Functions1.2.4 Damping1.2.5 Damping in Real Systems1.3 Two Degrees of Freedom Systems (2DOF)1.3.1 Natural Frequencies of the 2DOF System1.4 Multiple Degrees of Freedom Systems MDOF1.4.1 Assembling the Mass Matrix1.4.2 Assembling the Stiffness Matrix1.4.3 Power Input into MDOF Systems1.4.4 Normal Modes1.5 Random Process1.5.1 Probability Function1.5.2 Correlation Coefficient1.5.3 Correlation Functions for Random Time Signals1.5.4 Fourier Analysis of Random Signals1.5.5 Estimation of Power and Cross Spectra1.6 Systems1.6.1 SISO-System Response in Frequency Domain1.6.2 System Response in Time Domain1.6.3 Systems Excited by Random Signals1.7 Multiple-input.multiple-output Systems1.7.1 Multiple Random Inputs1.7.2 Response of MIMO Systems to Random LoadBibliography

      9 2 Waves in Fluids2.1 Introduction2.2 Wave Equation for Fluids2.2.1 Conservation of Mass2.2.2 Newton’s law – Conservation of Momentum2.2.3 Equation of State2.2.4 Linearized Equations2.2.5 AcousticWave Equation2.3 Solutions of theWave Equation2.3.1 HarmonicWaves2.3.2 Helmholtz equation2.3.3 Field Quantities: Sound Intensity, Energy Density and Sound Power2.3.4 Damping inWaves2.4 Fundamental Acoustic Sources2.4.1 Monopoles – Spherical Sources2.5 Reflection of PlaneWaves2.6 Reflection and Transmission of PlaneWaves2.7 InhomogeneousWave Equation2.7.1 Acoustic Green’s Functions2.7.2 Rayleigh integral2.7.3 Piston in a Wall2.7.4 Power Radiation2.8 Units, Measures, and levelsBibliography

      10 3 Wave Propagation in Structures3.1 Introduction3.2 Basic Equations and Definitions3.2.1 Mechanical Strain3.2.2 Mechanical Stress3.2.3 Material Laws3.3 Wave Equation3.3.1 The One-dimensionalWave Equation3.3.2 The Three-dimensionalWave Equation3.4 Waves in Infinite Solids3.4.1 LongitudinalWaves3.4.2 Shear waves3.5 Beams3.5.1 LongitudinalWaves3.5.2 Power, Energy, and Impedance3.5.3 BendingWaves3.5.4 Power, Energy, and Impedance3.6 Membranes3.7 Plates3.7.1 Strain––displacement Relations3.7.2 In-planeWave Equation3.7.3 LongitudinalWaves3.7.4 ShearWaves3.7.5 Combination of Longitudinal and ShearWaves3.7.6 BendingWave Equation3.8 Propagation of Energy in DispersiveWaves3.9 FindingsBibliography

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