Coaxial gear set
A coaxial gear set, in particular a hollow shaft gear set for industrial drive technology, having high power density, comprising a drive element ( 7 ), an element ( 3 ), and an output element, with a gear ratio and a transmission of a drive torque occurring between the drive element ( 7 ) and the output element via a plurality of radially movable tooth segments ( 5 ), an outer tooth flank contour ( 11.1, 11.2 ) of the tooth contour ( 6 ) of the tooth segments ( 5 ) and/or a flank contour ( 12.1, 12.2 ) of a gearing ( 13 ) of an inner gearing ( 15 ) of an internal wheel ( 1 ), relative to a gear axis (M), a tooth contour that allows surface contact in the engagement area comprising a logarithmic spiral.
1. A coaxial gear set comprising a drive element, an output element, a step-up ratio and a transmission of a drive moment between the drive element and the output element via a plurality of radial movable tooth segments, wherein an outer tooth flank contour of a tooth flank of the tooth segments and/or a flank contour of a toothing system of an internal toothing system of an internal gear, in relation to a gear set axis (M), have/has a spiral tooth contour which makes surface contact possible in an engagement region, wherein the spiral tooth contour is a logarithmic spiral.
2. The coaxial gear set as claimed in claim 1 , wherein, independently of a selected radius to the gear set axis (M), the outer tooth flank contour of the flank region of the tooth segment and the flank contour of the internal toothing system of the toothing system of the internal gear correspond to a common logarithmic spiral (Ln) with a rising angle (α).
3. The coaxial gear set as claimed in claim 2 , wherein, during the stroke movement of the tooth segments, there is a uniform load distribution, as the teeth are displaced along the logarithmic spiral (Ln) and those tooth flanks of the tooth segments and the internal gear internal toothing system which are in contact with one another always have the same rising angle (α).
4. The coaxial gear set as claimed in claim 2 , wherein the rising angle (α) is between 15° and 45°.
5. The coaxial gear set as claimed in claim 2 , wherein the outer tooth flank contour of the tooth segments and/or the flank contour of the internal toothing system is corrected in accordance with the tilting behavior of the tooth segment under loading.
6. The coaxial gear set as claimed in claim 1 , wherein the outer tooth flank contour on one side of an axis center (A) is configured to be symmetrical to the adjacent outer tooth flank contour of the tooth flank and the internal toothing system of the internal gear, respectively.
7. The coaxial gear set as claimed in claim 1 , wherein the tooth segments have a tip curve.
8. The coaxial gear set as claimed in claim 7 , wherein the tip curve of each of the tooth segments bear tangentially against the tooth flank and merges into the outer tooth flank contour of the respective tooth segment.
9. The coaxial gear set as claimed in claim 1 , wherein an internal gear root fillet is provided between the respective flank contours of the internal toothing system of the internal gear, wherein the internal gear root fillet is less curved than a tip curve of the tooth segments.
10. The coaxial gear set as claimed in claim 9 , wherein a jolt-free stroke movement and automatic pushing back of the tooth segments out of the internal toothing system results from the internal gear root fillet of the internal toothing system in contact with the tip curve of the tooth segments.
11. The coaxial gear set as claimed in claim 1 , wherein the outer tooth flank contour of the tooth segments is adapted on an outside surface to the flank contour of the internal toothing system of the internal gear by the logarithmic spiral (Ln) during the engagement of the tooth flank into a tooth root or into a flank contour of the internal toothing system of the internal gear, and surface contact is ensured between the outer tooth flank contour of the tooth segment and the tooth flank of the toothing system of the internal gear.