A Study on Mechanism of Oscillation in Sonic Oscillators : 2nd Report, Mathematical Model of Oscillators Operated by Air
Satoru Hayashi, Shuji KAMAYA · Bulletin of JSME · 1975
A mathematical model of the sonic oscillator operated by air is introduced. The basic equation describing the behaviour of the oscillator is reduced to a nonlinear difference-differential equation due to the distributed parameter interconnecting conduit, while the equation for the oscillator having no chamber in the control ports is reduced to a nonlinear difference form, which can be solved by a graphical method. It is shown by analysis that many features of the phenomena occurring in the oscillator can be comprehensively explained by means of the mathematical model, including the oscillator operated by water as a special case. Theoretical results derived from the model are in good agreement with experimental results.