Force Analysis of Reciprocating Rotary Planetary Mechanism with Elliptical Gears

Reciprocating rotary motion of the impeller in a mixer is produced by a planetary mechanism with elliptical gears. The forces in the planetary mechanism are analyzed. Equations of kinetostatic equilibrium are derived and solved for each component of the mechanism. The angular position of the mechanism’s input shaft affects the reaction in the kinematic pairs and the balancing torque. This influence is described by mathematical formulas. The results obtained here may be used in the synthesis and analysis of machines with a planetary mechanism of the type considered.