Acoustics-A Textbook for Engineers and Physicists

This graduate and advanced undergraduate textbook systematically addresses all core topics in physical and engineering acoustics. Written by a well-known textbook author with 39 years of experience performing research, teaching, and mentoring in the field, it is specially designed to provide maximum support for learning. Presentation begins from a foundation that does not assume prior study of acoustics and advanced mathematics. Derivations are rigorous, thoroughly explained, and often innovative. Important concepts are discussed for their physical implications and their implementation. Many of the examples are mini case studies that address systems students will find to be interesting and motivating for continued study. Step-by-step explanations accompany example solutions. They address both the significance of the example and the strategy for approaching it. Wherever techniques arise that might be unfamiliar to the reader, they are explained in full. Volume I contains 186 homework exercises, accompanied by a detailed solutions manual for instructors. This text, along with its companion, Volume II: Applications, provides a knowledge base that will enable the reader to begin undertaking research and to work in core areas of acoustics.

• Provides broad and comprehensive treatment of the basic principles and phenomena encountered in physical and engineering acoustics
• Approaches derivations and examples in a logical, lucid, and rigorous manner, with special attention given to the reasons behind the formulation, and detailed explanation of operations that might be unfamiliar to the student
• Contains 64 innovative examples, some based on real-world systems, which highlight the connection between physical phenomena and derived principles

• Embeds coverage of numerical methods into the examples, including discussion of algorithms and associated macrocode, with Matlab code available online

Auteur

Jerry H. Ginsberg's technical education began at the Bronx High School of Science, from which he graduated in 1961. This was followed by a B.S.C.E. degree in 1965 from the Cooper Union, and an E.Sc.D. degree in engineering mechanics from Columbia University in 1970, where he held Guggenheim and NASA Fellowships. From 1969 to 1973 he was an Assistant Professor in the School of Aeronautics, Astronautics, and Engineering Science at Purdue University. He then transferred to Purdue's School of Mechanical Engineering, where he was promoted to Associate Professor in 1974. In the 1975-1976 academic year, he was a Fulbright-Hayes Advanced Research Fellow at the École Nationale Supérieure d'Électricité et de Mécanique in Nancy, France. He came to Georgia Tech in 1980 as a Professor in the School of Mechanical Engineering, which awarded him the George W. Woodruff Chair in 1989. He retired in June 2008. His prior publications include five textbooks in statics, dynamics, and vibrations, most in several editions, as well as more than one hundred twenty refereed papers covering these subjects. Dr. Ginsberg became a Fellow of the Acoustical Society of America in 1987, and a Fellow of the American Society of Mechanical Engineers in 1989. The awards and recognitions he has received include Georgia Tech Professor of the Year (1994), ASEE Archie Higdon Distinguished Educator in Mechanics (1998), ASA Trent-Crede Medal (2005), ASME Per Bruel Gold Medal in Noise Control and Acoustics (2007), and the ASA Rossing Prize in Acoustics Education (2010). In addition to his technical activities, he is an exceptional photographer.

Contenu

List of Examples Preface 1 Descriptions of Sound1.1 Harmonic Signals1.1.1 Basic Properties1.1.2 Vectorial Representation1.1.3 Complex Exponential Representation1.1.4 Operations Using Complex Exponentials1.2 Averages1.3 Metrics of Sound1.3.1 Sound Pressure Level1.3.2 Human Factors1.3.3 Frequency Bands1.4 Transfer Between Time and Frequency Domains1.4.1 Fourier Series1.4.2 Discrete Fourier Transforms1.4.3 Nyquist Sampling Criterion1.4.4 Fast Fourier Transforms1.4.5 Evaluation of Time Responses1.5 Spectral Density1.5.1 Definition1.5.2 Noise Models1.6 Homework Exercises 2 Plane Waves: Time Domain Solutions2.1 Continuum Equations in One Dimension2.1.1 Conservation of Mass2.1.2 Momentum Equation2.2 Linearization and the One-Dimensional Wave Equation2.3 Equation of State and the Speed of Sound2.4 The d'Alembert Solution2.4.1 Derivation2.4.2 Interpretation2.4.3 Harmonic Waves2.5 The Method of Wave Images2.5.1 Initial Value Problem in an Infinite Domain2.5.2 Plane Waves in a Semi-Infinite Domain2.5.3 Plane Waves in a Finite Waveguide2.6 Analogous vibratory systems2.6.1 Stretched cable2.6.2 Extensional waves in an elastic bar2.7 Closure2.8 Homework Exercises 3 Plane Waves: Frequency Domain Solutions3.1 General Solution3.2 Waveguides With Boundaries3.2.1 Impedance and Reflection Coefficients3.2.2 Evaluation of the Signal3.2.3 Modal Properties and Resonances3.2.4 Impedance Tubes3.3 Effects of Dissipation3.3.1 Viscosity3.3.2 Thermal Transport3.3.3 Molecular Relaxation3.3.4 Absorption in the Atmosphere and Ocean3.3.5 Wall Friction3.4 Acoustical Transmission Lines3.4.1 Junction Conditions3.4.2 Time Domain3.4.3 Frequency Domain Formulation for Long Segments3.5 Closure3.6 Homework Exercises 4 Principles and Equations for Multidimensional Phenomena4.1 Fundamental Equations for an Ideal Gas4.1.1 Continuity Equation4.1.2 Momentum Equation4.2 Linearization4.3 Plane Waves in Three Dimensions4.3.1 Simple Plane Wave in the Time Domain4.3.2 Trace Velocity4.3.3 Simple Plane Wave in the Frequency Domain4.4 Velocity Potential4.5 Energy Concepts and Principles4.5.1 Energy and Power4.5.2 Linearization4.5.3 Power Sources4.6 Closure 5 Interface Phenomena for Planar Waves5.1 Radiation Due to Surface Waves5.1.1 Basic Analysis5.1.2 Interpretation5.2.1 Reflection from a Time Domain Perspective5.2.2 Reflection from a Frequency Domain Perspective5.3 Transmission and Reflection at an Interface Between Fluids5.3.1 Time Domain Analysis5.3.2 Frequency Domain Analysis5.4 Propagation Through Layered Media5.4.1 Basic Analysis of Three Fluids5.4.2 Multiple Layers5.5 Solid Barriers5.5.1 General Analysis5.5.2 Specific Barrier Models5.6 Homework Exercises 6 Spherical Waves and Point Sources6.1 Spherical Coordinates6.2 Radially Vibrating Sphere-Time Domain Analysis6.2.1 General Solution6.2.2 Radiation from a Uniformly Vibrating Sphere6.2.3 Acoustic Field in a Spherical Cavity6.3 Radially Vibrating Sphere-Frequency Domain Analysis6.3.1 General Solution6.3.2 Radiation from a Radially Vibrating Sphere6.3.3 Standing Waves in a Spherical Cavity6.4 Point Sources6.4.1 Single Source6.4.2 Green's Function6.4.3 Point Source Arrays6.4.4 Method of Images6.5 Dipoles, Quadrupoles, and Multipoles6.5.1 The Dipole Field6.5.2 Radiation from a Translating Rigid Sphere6.5.3 The Quadrupole Field6.5.4 Multipole Expansion6.6 Doppler Effect6.6.1 Introduction6.6.2 Moving Fluid6.6.3 Subsonic Point Source6.6.4 Supersonic Point Source6.7 Homework Exercises Appendix : Fourier TransformsA.1 DerivationA.2 Evaluation TechniquesA.2.1 Transform PairsA.2.2 Fast Fourier Transforms Index