Identification of Optimum Number of Waves of the Planetary Rotor Hydrocar by Criterion of Productivity

Abstract

The paper is devoted to search of rational parametrical ratios of planetary rotor hydrocars (PRH). Relevance of studying and application of PRH (as pumps and engines) increases in connection with development of the current technologies which allow to produce rather cheap non-round gears. These hydrocars contain floating satellites and, generally, non-round central tooth gears - a rotor and a stator. It was considered earlier that numbers of teeth of Z2 and Z1 of waves of a stator of N and a rotor of M have to be various. We showed that the case of identical numbers of waves of N = M and teeth of Z2 and Z1 is not only possible, but it is the best one. In this paper only the case for N=M is considered. It is important to answer the question: how many "waves" are preferable to arrange on the central wheels for achievement of the maximum productivity of PRH. The analysis showed that increase in the number of "waves", generally, of non-round gears leads to the increase in productivity of the hydrocar, but at the same time, it increases the probability of loss of the satellites which are not participating in torque transfer. As a result, the conclusion is drawn on the expediency of application of schemes PRH with numbers of waves of N×M of the central wheels 2×2 and 3×3.