Non-linear dynamic behavior of a ball float valve

Résumé

The dynamic behavior of the spherical body floating in a liquid, part of a ball float valve, is analyzed from the point of view of the dynamic systems theory. The study of the motion illustrates the differences between the linear and the non-linear approach. The time analysis of a significant variable and the phase plane representation were used. Based on the obtained solution, the paper deals with the possibility of onset of deterministic chaotic motions for special initial conditions and model assumptions is discussed.