A Study on Mechanism of Oscillation in Sonic Oscillators : 1st Report, Mathematical Model of Oscillators Operated by Water
Satoru Hayashi, Shuji KAMAYA · Bulletin of JSME · 1975
A wall-attached fluidic element is caused to oscillate by interconnecting two control ports with a conduit. The oscillator is termed a sonic oscillator, which is usually operated by air. In this study, however, a mathematical model of the oscillator operated by water is introduced and its propriety is examined experimentally. The basic equation describing the behaviour of the oscillator is derived from several assumptions and it results in the generalised equation of Lienard. On the basis of this equation, the mechanism of oscillations is theoretically investigated and it is shown that oscillations are caused by the negative resistance in the input characteristics of the wall-attached element. Theoretical results are in satisfactory agreement with experimental results.