Force analysis and stress calculation of non-clearance cycloid ball transmissions

The structure and transmission principles of non-clearance cycloid steel ball planetary transmission are introduced in this paper. The complicated spatial mechanics model for multi-steel ball (multi-point contact of each ball) engagement pairs of the cycloid groove and ring groove are established. The maximum acting force formulas of the cycloid groove engagement pair and the ring engagement pair are deduced by using ultra static distort harmony conditions. The contact fatigue stresses of the cycloid groove and the ring groove engagement pairs are analyzed and the stress variety curves are plotted. The research results provide theoretical basis for the design of non-clearance cycloid steel ball planetary transmissions.