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.