In order to achieve high torsional stiffness and uniform force distribution among rolling elements against load torque, a new type of ball reducer having no eccentric input cam has been designed. In the formulated reduction principle, wave motion (cycles of rise and fall) of rolling element is described as an elliptical motion along the fixed cam locus, and the reduction cam advances a distance of one tooth at each one wave motion. This one wave motion is imparted by
m(=1,2,...) turns of the input cam. If the number of lobes of the input cam is defined as the number of wave motions imparted by one turn of the input cam, then the number of lobes is considered as 1/
m. The locus of the input cam is the looped curve of
m turns, then the self-intersections of the looped curve occur at
m-1 points. Occurrence of interference at the intersections was avoided by employing ball as rolling element. In this paper, the number of lobes of the input cam, 1/
m, is assumed to be 1/2 as the simplest configuration. Based on this assumption, the suitable value of the design parameter which gives allowable pressure angle is analyzed. The conditions that can avoid undercutting of the reduction cam are also discussed. Furthermore, the minimum wall thickness between adjacent teeth of the fixed cam is shown.
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