| 摘要 |
In a deflection mesh type gear (1), basic tooth addendum profiles of a rigid internal gear (2) and a flexible external gear (3) are obtained from the formulas (1) and (2) where m is the tooth module, Zc is the number of teeth of the rigid internal gear (2), ZF, hfF, t and rn are the number of teeth, dedendum, rim thickness at the bottom, radius of the neutral circle of the rim of the flexible external gear (3), respectively, tau is the tooth thickness increase coefficient of both the rigid internal gear (2) and the flexible external gear (3), eta is the supplementary angle variable, and where the datum line is taken as x axis, the center line of tooth profile is taken as y axis, + sign of the composite sign in the formula (1) is for the flexible outer gear (3) and - sign is for the rigid internal gear (2). Formula (1) is x = m[0.25{ pi - n( eta - sin eta )} - (+/- tau )] - 0.5(g1 - g2); Formula (2) is y = 0.5mn(1 - cos eta ), where g1 = (0.5t + hfF + mn - f)[tan<-1> {2mn.sin eta / (rn + 2mn.cos eta )} + epsilon ]; g2 = 0.5mn ( eta - sin eta ) - xN + {yN - mn(1 - cos eta )}.0.5tan(0.5 eta ); f = 0.5m[n(1 + cos eta + tan(0.5 eta ){0.25( pi - n( eta - sin eta )) - tau }]; theta = 0.5 eta - (0.5mn/rn)sin eta + (0.5mn/rn)<2>sin(2 eta ); epsilon = theta - 0.5 eta ZF/Zc; xN = (rn + mn.cos(2 theta ))sin epsilon ; yN = rn + mn - {rn + mn.cos(2 theta )}cos epsilon . Such a tooth profile realizes a proper wide-range engagement of teeth can be proposed for a tooth profile of rack approximation in consideration of tooth inclination and variation of locus of movement of the origin of the coordinate system for a tooth profile. |
