Ebook: Principles of Vibration and Sound

Some years ago we set out to write a detailed book about the basic physics of musical instruments. There have been many admirable books published about the history of the development of musical instruments, about their construction as a master craft, and about their employment in musical perfor­ mance; several excellent books have treated the acoustics of musical instru­ ments in a semiquantitative way; but none to our knowledge had then at­ tempted to assemble the hard acoustic information available in the research literature and to make it available to a wider readership. Our book The Physics of Musical Instruments, published by Springer-Verlag in 1991 and subsequently reprinted several times with only minor corrections, was the outcome of our labor. Because it was our aim to make our discussion of musical instruments as complete and rigorous as possible, our book began with a careful introduction to vibrating and radiating systems important in that field. We treated simple linear oscillators, both in isolation and coupled together, and extended that to a discussion of some aspects of driven and autonomous nonlinear oscilla­ tors. Because musical instruments are necessarily extended structures, we then went on to discuss the vibrations of strings, bars, membranes, plates, and shells, paying particular attention to the mode structures and characteristic frequencies, for it is these that are musically important.

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This book discusses the physics of vibrating systems, emphasizing mechanics rather than electrodynamics. Beginning with the basics of free and forced motions of a simple harmonic oscillator (both mechanical and electrical) it goes on to discuss vibrations in one-dimensional systems, such as strings and bars, and two-dimensional systems such as membranes and plates. The discussion of coupled systems includes strong as well as weak coupling, and presents both mechanical and electrical examples. The analysis includes nonlinear systems, dispersion, and other topics. The concluding third of the book discusses the propagation of sound in air; the radiation from various sources (points, planes, lines, baffled planes, and so forth); and the propagation of sound in various kinds and shapes of pipes.

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This book discusses the physics of vibrating systems, emphasizing mechanics rather than electrodynamics. Beginning with the basics of free and forced motions of a simple harmonic oscillator (both mechanical and electrical) it goes on to discuss vibrations in one-dimensional systems, such as strings and bars, and two-dimensional systems such as membranes and plates. The discussion of coupled systems includes strong as well as weak coupling, and presents both mechanical and electrical examples. The analysis includes nonlinear systems, dispersion, and other topics. The concluding third of the book discusses the propagation of sound in air; the radiation from various sources (points, planes, lines, baffled planes, and so forth); and the propagation of sound in various kinds and shapes of pipes.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Free and Forced Vibrations of Simple Systems....Pages 3-32
Continuous Systems in One Dimension: Strings and Bars....Pages 33-64
Two-Dimensional Systems: Membranes and Plates....Pages 65-94
Coupled Vibrating Systems....Pages 95-124
Nonlinear Systems....Pages 125-135
Front Matter....Pages 137-137
Sound Waves in Air....Pages 139-156
Sound Radiation....Pages 157-174
Pipes and Horns....Pages 175-207
Acoustic Systems....Pages 209-227
Back Matter....Pages 229-247

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This book discusses the physics of vibrating systems, emphasizing mechanics rather than electrodynamics. Beginning with the basics of free and forced motions of a simple harmonic oscillator (both mechanical and electrical) it goes on to discuss vibrations in one-dimensional systems, such as strings and bars, and two-dimensional systems such as membranes and plates. The discussion of coupled systems includes strong as well as weak coupling, and presents both mechanical and electrical examples. The analysis includes nonlinear systems, dispersion, and other topics. The concluding third of the book discusses the propagation of sound in air; the radiation from various sources (points, planes, lines, baffled planes, and so forth); and the propagation of sound in various kinds and shapes of pipes.
Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Free and Forced Vibrations of Simple Systems....Pages 3-32
Continuous Systems in One Dimension: Strings and Bars....Pages 33-64
Two-Dimensional Systems: Membranes and Plates....Pages 65-94
Coupled Vibrating Systems....Pages 95-124
Nonlinear Systems....Pages 125-135
Front Matter....Pages 137-137
Sound Waves in Air....Pages 139-156
Sound Radiation....Pages 157-174
Pipes and Horns....Pages 175-207
Acoustic Systems....Pages 209-227
Back Matter....Pages 229-247
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