不思議遊星歯車機構減速機の高効率化を目的とする転位係数の最適化

抄録

The optimization method of profile-shift coefficients for the design of conventional mechanical paradox planetary gear drives of maximum efficiency is proposed and described. The objective function of all of the four profile-shift coefficients is converted to a function of only two profile-shift coefficients. Drawing the objective function on a plane with the coordinates of the two profile-shift coefficients and connecting the points with the same value gives a map of contour lines ; the ridge which gives the maximum efficiency becomes almost a straight line on the plane. Also, the constraint domains, which are determined from the constraint conditions such as contact ratio and undercut, are located on the straight ridge ; the lower limit of the constraint domains also becomes a straight line. The optimum profile-shift coefficients are investigated by increasing one of the profile-shift coefficients step by step from the value determined by the intersection of the two straight lines. Thus the optimum profile-shift coefficients have been determined for various conventional mechanical paradox planetary gears ; the obtained maximum efficiencies are almost 78% for those gear drives.