Applied mechanics and the modern string instrument—Classical guitar

Abstract

The design of string instruments is approached formally as a problem of three coupled oscillators: (a) the vibrating plate with appropriate boundary conditions, (b) the real string with characteristic anharmonicity and end-stiffness, and (c) the cavity resonance spectra with their body-form determined complexities. Instrument models are then constructed based on the fundamental approach, with all of the compromises required by classical dimension and form limitations, as well as the draftsman's working methods and materials. Acoustical measurements are made to demonstrate the effectiveness of the designs, and finally, concert musician acceptance in concert hall conditions is evaluated. The collaboration of Richard Schneider, luthier, and Dr. E. E. Watson, acoustician, is gratefully acknowledged.