摘要 |
A gear system which includes a pinion and mating-gear forming a gear pair with a predetermined gear ratio (m<SUB>G</SUB>), center distance (C), face-width (F<SUB>w</SUB>), and limiting stresses. The pinion has a pinion tooth number (N<SUB>1</SUB>) and a first plurality of teeth, each tooth having a first-tooth profile. The mating gear has a mating-gear tooth number (N<SUB>2</SUB>) satisfying the expression N<SUB>2</SUB>=m<SUB>G</SUB>.N<SUB>1 </SUB>and a second plurality of teeth, each tooth having a second-tooth profile. The relative curvature of the first-tooth profile and the second-tooth profile is given by the expression k<SUB>c</SUB>.F<SUB>c</SUB>, where F<SUB>c </SUB>is a relative reference curvature function given by the expression F<SUB>c</SUB>=(N<SUB>1</SUB>+N<SUB>2</SUB>)<SUP>2</SUP>/(N<SUB>1</SUB>.N<SUB>2</SUB>.C), and k<SUB>c </SUB>is a relative curvature multiplier which is a function of the gear ratio (m<SUB>G</SUB>), the center distance (C), the face-width (F<SUB>w</SUB>), and the limiting stresses. |