Description
Book SynopsisThis book, the first English-language translation of Acoustique des instruments de musique, Second Edition, presents the necessary foundations for understanding the complex physical phenomena involved in musical instruments.
Trade Review“This book is a great repository of state of the art knowledge. It is a handbook for looking-up concepts, derivations and mathematical methodologies currently developed and employed in the field of musical acoustics. … This book is a handbook and a great reference for researchers and PhD level graduate students … . This book will definitely become a classic like the one by Fletcher and Rossing … .” (Wilfried Kausel, Euracoustics.org, April, 2017)
“Antoine Chaigne and Jean Kergomard have applied mathematical rigor with comprehensive scope, and the result is remarkable. … The text and math are lucid throughout and should be easily understood by readers with a basic grasp of mechanics. The authors are justified in recommending the book to ‘students at master’s and doctorate levels [and] researchers, engineers and other physicists with a strong interest in music’–each of those groups will find the information they need in Acoustics of Musical Instruments.” (Barry Greenhut, Physics Today, April, 2017)
“Each author has extensive research experience, a publication record of note, familiarity with the literature, and interaction with French and international colleagues. … Acoustics of Musical Instruments provides a quantitative analysis of many instruments found in the classical repertoire. The text will be of use to players, including students and instructors, and those concerned with the physical production of sound from these instruments, including makers of real and simulated instruments.” (William Strong, Journal of the Audio Engineering Society, Vol. 65 (1-2), January, 2017)
Table of ContentsPart I - Basic Equations and Oscillators.- 1. Continuous models. 1.1 Strings, membranes, bars, plates and shells. 1.2 3D acoustic waves. 1.3 Energy, intensity, power.- 2. Single-degree-of-freedom oscillator. 2.1 Introduction. 2.2 Solution with and without a source. Green's function. 2.3 Examples of free and forced oscillations.- Part II - Waves and modes.- 3. Modes. 3.1 Introduction. 3.2 Time scale. Transition from wave to mode. 3.3 Definitions and basic properties of the eigenmodes.- 4. Waves. 4.1 Introduction. 4.2 Solutions without source, first reflection. 4.3 Successive reflections of waves produced by a pulse source.- 5. Dissipation and damping. 5.1 Introduction: dissipative phenomena in musical acoustics. 5.2 Generalizing the concept of mode. 5.3 Damping mechanisms in solid materials.- 6. Coupled systems. 6.1 Introduction. 6.2 Structure-cavity interaction. 6.3 Coupling of piano strings.- 7. Wind Instruments: variable cross section and toneholes. 7.1 Introduction. 7.2 Pipes with variable cross section: general equations. 7.3 Pipes with cross section discontinuities: first approximation.- Part III - Nonlinearities and self-oscillations.- 8. Nonlinearities. 8.1 An example of asymmetry: the interrupted pendulum. 8.2 Duffing equation. 8.3 Nonlinear vibration of strings.- 9. Reed instruments. 9.1 Background on self-sustained oscillations. 9.2 Reed-instruments models. 9.3 Behavior of the two-equation model (regimes, existence and stability, transients) without reed dynamics.- 10. Flute-like instruments. 10.1 An introduction and general description. 10.2 A global model for the instrument. 10.3 A modeling for the jet oscillation.- 11. Bowed string instruments. 11.1 Introduction. 11.2 Bow-string interaction. 11.3 Bow models.- Part IV - Radiation and sound-structure interaction. - 12. Elementary sources and multipoles. 12.1 Introduction: acoustical radiation of musical instruments. 12.2 Elementary sources. 12.3 Pulsating sphere.- 13. Radiation of vibrating structures. 13.1 Introduction. 13.2 Basic concepts in structural acoustics. 13.3 Radiation of an infinite thin plate.- 14. Radiation of complex systems. 14.1 Example of the vibraphone. 14.2 Example of the kettledrum. 14.3 Example of the guitar.- Glossary.- Index.
