| This paper researches a new type transmission梕nd face engagement cycloid steel ball planetary transmission. The construction principle and driving principle of cycloid steel ball planetary transmission are analyzed. The formula of transmission ratio is given. The important properties for no back lash transmission, large overlap degree and high meshing efficiency are analyzed. The slide velocity of cycloid steel ball transmission is analyzed and the formula of slide velocity is deduced. The equations of the curvature, curvature radius, main curvature and main curvature radius of hypocycloidal and epicycloidal theoretical tooth shape and practical tooth profile are deduced respectively. The spatial mechanics model for multi-steel ball engagement pairs of the cycloid groove and the circular groove are established. The maximum acting force formulas of the cycloid groove engage pair and the circular groove engage pair are deduced by using ultra static distort harmony condition. The acting force between the turning arm bearing and the planetary disc is analyzed. The pressure angle formulas of inside and outside profiles of the cycloid grooves are respectively deduced. On the base of force analysis, the contact fatigue strength of the cycloid grooves practical tooth profiles and the circular groove engagement pair are analyzed and calculated. The effect of each parameter on contact fatigue strength are analyzed. The calculating formula of transmission efficiency and engagement efficiency are deduced in theory. The effect of each parameter on engagement efficiency and basic engagement efficiency are analyzed. On the theoretical basis of this paper, a sample prototype is designed and made. It provides practical base for further development of cycloid steel ball transmission.
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