Physics Behind Music An Introduction

The distinction is made between linear and nonlinear physics problems. Whereas the linear problems can be solved as a sum of simpler problems, nonlinear situations cannot be treated this way. That has implications for the solutions for the bowed and blown (wind) instruments, where the driving force is nonlinear, so the resonant modes cannot be treated individually. The stick-slip mechanism for bowed instruments is used as an example where friction provides the nonlinear force. The driving terms for reed instruments are also shown to be nonlinear and can be, in part, understood by thinking about negative resistance. The nonlinear coupling between the modes has implications for the overall tuning and for the frequencies of the overtones.