Gear tooth profile
AssigneeGenesis Partners, L.P.
InventorJohn R. Colbourne
Life of this patent
Estimating the term…
Abstract
A gear and method for producing the gear. The gear has a gear tooth profile conjugate to a gear basic-cutter tooth-profile having an addendum with a convex portion having an addendum point proximal to a pitch line and a dedendum with a concave portion having a dedendum point proximal to the pitch line. The convex portion is complementary with a corresponding portion of a mating-gear basic-cutter tooth-profile dedendum. The concave portion is complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile addendum. A transition zone between the addendum point and the dedendum point has a predetermined width. The gear basic-cutter tooth-profile has a predetermined half pitch relief at the pitch line and continuity of profile and continuity of slope at the addendum point.
Claims18
A gear for mating with a mating gear having a plurality of mating-gear teeth each having a mating-gear tooth profile conjugate to a mating-gear basic-cutter tooth profile including a mating-gear basic-cutter tooth-profile addendum, a mating-gear basic-cutter tooth-profile dedendum, and a mating-gear basic-cutter tooth-profile transition zone between the mating-gear basic-cutter tooth-profile addendum and the mating-gear basic-cutter tooth-profile dedendum, the gear comprising a plurality of gear teeth each having a gear tooth profile comprising:
- a gear tooth-profile addendum;
- a gear tooth-profile dedendum;
- and
- a gear tooth-profile transition zone between the gear tooth-profile addendum and the gear tooth-profile dedendum,
- wherein the gear tooth profile is conjugate to a gear basic-cutter tooth-profile intersecting a gear basic-cutter pitch line at a gear basic-cutter pitch point, the gear basic-cutter tooth profile comprising:
- a gear basic-cutter tooth-profile addendum having a tip point distal to the gear basic-cutter pitch line, the gear basic-cutter tooth-profile addendum conjugate to the gear tooth-profile dedendum;
- a gear basic-cutter tooth-profile convex portion in the gear basic-cutter tooth-profile addendum and complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile dedendum, the gear basic-cutter tooth-profile convex portion having a gear basic-cutter tooth-profile addendum point proximal to the gear basic-cutter pitch line;
- a gear basic-cutter tooth-profile dedendum having a limit point distal to the gear basic-cutter pitch line, the gear basic-cutter tooth-profile dedendum conjugate to the gear tooth-profile addendum;
- a gear basic-cutter tooth-profile concave portion in the gear basic-cutter tooth-profile dedendum and complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile addendum, the gear basic-cutter tooth-profile concave portion having a gear basic-cutter tooth-profile dedendum point proximal to the gear basic-cutter pitch line;
- and
- a gear basic-cutter tooth-profile transition zone between the gear basic-cutter tooth-profile addendum point and the gear basic-cutter tooth-profile dedendum point, the gear basic-cutter tooth-profile transition zone having a predetermined gear basic-cutter tooth-profile transition-zone width,
- wherein the gear basic-cutter tooth-profile has a predetermined gear basic-cutter tooth-profile half pitch relief at the gear basic-cutter pitch line and continuity of profile and continuity of slope at the gear basic-cutter tooth-profile addendum point.
A gear basic cutter for making a gear mateable with a mating gear having a plurality of mating-gear teeth each having a mating-gear tooth profile conjugate to a mating-gear basic-cutter tooth profile including a mating-gear basic-cutter tooth-profile addendum, a mating-gear basic-cutter tooth-profile dedendum, and a mating-gear basic-cutter tooth-profile transition zone between the mating-gear basic-cutter tooth-profile addendum and the mating-gear basic-cutter tooth-profile dedendum, the gear basic cutter comprising:
- a plurality of gear basic-cutter teeth each having a gear basic-cutter tooth-profile intersecting a gear basic-cutter pitch line at a gear basic-cutter pitch point, the gear basic-cutter tooth profile comprising:
- a gear basic-cutter tooth-profile addendum having a tip point distal to the gear basic-cutter pitch line, the gear basic-cutter tooth-profile addendum conjugate to the gear tooth-profile dedendum;
- a gear basic-cutter tooth-profile convex portion in the gear basic-cutter tooth-profile addendum and complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile dedendum, the gear basic-cutter tooth-profile convex portion having a gear basic-cutter tooth-profile addendum point proximal to the gear basic-cutter pitch line;
- a gear basic-cutter tooth-profile dedendum having a limit point distal to the gear basic-cutter pitch line, the gear basic-cutter tooth-profile dedendum conjugate to the gear tooth-profile addendum;
- a gear basic-cutter tooth-profile concave portion in the gear basic-cutter tooth-profile dedendum and complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile addendum, the gear basic-cutter tooth-profile concave portion having a gear basic-cutter tooth-profile dedendum point proximal to the gear basic-cutter pitch line;
- and
- a gear basic-cutter tooth-profile transition zone between the gear basic-cutter tooth-profile addendum point and the gear basic-cutter tooth-profile dedendum point, the gear basic-cutter tooth-profile transition zone having a predetermined gear basic-cutter tooth-profile transition-zone width,
- wherein the gear basic-cutter tooth-profile has a predetermined gear basic-cutter tooth-profile half pitch relief at the gear basic-cutter pitch line and continuity of profile and continuity of slope at the gear basic-cutter tooth-profile addendum point.
A gear pair comprising a first gear and a second gear, the first gear comprising a plurality of first gear teeth each having a first gear tooth profile comprising:
- a first gear tooth-profile addendum;
- a first gear tooth-profile dedendum;
- and
- a first gear tooth-profile transition zone between the first gear tooth-profile addendum and the first gear tooth-profile dedendum,
- wherein the first gear tooth profile is conjugate to a first gear basic-cutter tooth-profile intersecting a first gear basic-cutter pitch line at a first gear basic-cutter pitch point, the first gear basic-cutter tooth profile comprising:
- a first gear basic-cutter tooth-profile addendum having a first tip point distal to the gear basic-cutter pitch line, the first gear basic-cutter tooth-profile addendum conjugate to the first gear tooth-profile dedendum;
- a first gear basic-cutter tooth-profile convex portion in the first gear basic-cutter tooth-profile addendum, the first gear basic-cutter tooth-profile convex portion having a first gear basic-cutter tooth-profile addendum point proximal to the first gear basic-cutter pitch line;
- a first gear basic-cutter tooth-profile dedendum having a first limit point distal to the first gear basic-cutter pitch line, the first gear basic-cutter tooth-profile dedendum conjugate to the first gear tooth-profile addendum;
- a first gear basic-cutter tooth-profile concave portion in the first gear basic-cutter tooth-profile dedendum, the first gear basic-cutter tooth-profile concave portion having a first gear basic-cutter tooth-profile dedendum point proximal to the first gear basic-cutter pitch line;
- and
- a first gear basic-cutter tooth-profile transition zone between the first gear basic-cutter tooth-profile addendum point and the first gear basic-cutter tooth-profile dedendum point, the first gear basic-cutter tooth-profile transition zone having a predetermined first gear basic-cutter tooth-profile transition-zone width,
- wherein the first gear basic-cutter tooth-profile has a predetermined first gear basic-cutter tooth-profile half pitch relief at the first gear basic-cutter pitch line and continuity of profile and continuity of slope at the first gear basic-cutter tooth-profile addendum point,
- the second gear comprising a second plurality of second gear teeth each having a second gear tooth profile comprising:
- a second gear tooth-profile addendum;
- a second gear tooth-profile dedendum;
- and
- a second gear tooth-profile transition zone between the second gear tooth-profile addendum and the second gear tooth-profile dedendum,
- wherein the second gear tooth profile is conjugate to a second gear basic-cutter tooth-profile intersecting a second gear basic-cutter pitch line at a second gear basic-cutter pitch point, the second gear basic-cutter tooth profile comprising:
- a second gear basic-cutter tooth-profile addendum having a second tip point distal to the second gear basic-cutter pitch line, the second gear basic-cutter tooth-profile addendum conjugate to the second gear tooth-profile dedendum;
- a second gear basic-cutter tooth-profile convex portion in the second gear basic-cutter tooth-profile addendum and complementary with a corresponding portion of the first gear basic-cutter tooth-profile dedendum, the second gear basic-cutter tooth-profile convex portion having a gear basic-cutter tooth-profile addendum point proximal to the gear basic-cutter pitch line;
- a second gear basic-cutter tooth-profile dedendum having a second limit point distal to the second gear basic-cutter pitch line, the second gear basic-cutter tooth-profile dedendum conjugate to the second gear tooth-profile addendum;
- a second gear basic-cutter tooth-profile concave portion in the second gear basic-cutter tooth-profile dedendum and complementary with a corresponding portion of the first gear basic-cutter tooth-profile addendum, the second gear basic-cutter tooth-profile concave portion having a second gear basic-cutter tooth-profile dedendum point proximal to the second gear basic-cutter pitch line;
- and
- a second gear basic-cutter tooth-profile transition zone between the second gear basic-cutter tooth-profile addendum point and the second gear basic-cutter tooth-profile dedendum point, the second gear basic-cutter tooth-profile transition zone having a predetermined second gear basic-cutter tooth-profile transition-zone width,
- wherein the second gear basic-cutter tooth-profile has a predetermined second gear basic-cutter tooth-profile half pitch relief at the second gear basic-cutter pitch line and continuity of profile and continuity of slope at the second gear basic-cutter tooth-profile addendum point.
A method for producing a gear for mating with a mating gear, the gear having a plurality of gear teeth each having a gear tooth profile conjugate to a gear basic-cutter tooth profile of a gear basic-cutter tooth, the gear basic-cutter tooth profile including a gear basic-cutter tooth-profile addendum, a gear basic-cutter tooth-profile dedendum, and a gear basic-cutter tooth-profile transition zone between the gear basic-cutter tooth-profile addendum and the gear basic-cutter tooth-profile dedendum, the mating gear having a plurality of mating-gear teeth each having a mating-gear tooth profile conjugate to a mating-gear basic-cutter tooth profile including a mating-gear basic-cutter tooth-profile addendum complementary with the gear basic-cutter tooth-profile dedendum, a mating-gear basic-cutter tooth-profile dedendum complementary with the gear basic-cutter tooth-profile addendum, and a mating-gear basic-cutter tooth-profile transition zone between the mating-gear basic-cutter tooth-profile addendum and the mating-gear basic-cutter tooth-profile dedendum, the mating-gear basic-cutter tooth-profile transition zone non-complementary with the gear basic-cutter tooth-profile transition zone, the method comprising the steps of:
- (a) determining the gear basic-cutter tooth profile, wherein the determining step comprises:
- (1) defining an initial profile for the gear basic-cutter tooth profile wherein the gear basic-cutter tooth-profile addendum has a gear basic-cutter tooth-profile convex portion and is complementary with the mating-gear basic-cutter tooth-profile dedendum, the gear basic-cutter tooth-profile dedendum has a gear basic-cutter tooth-profile concave portion and is complementary with the mating-gear basic-cutter tooth-profile addendum, and the gear basic-cutter tooth-profile transition zone is linear and complementary with a linearized mating-gear basic-cutter tooth-profile transition zone;
- (2) modifying the gear basic-cutter tooth-profile from the gear basic-cutter pitch point to the gear basic-cutter limit point by increasing a dedendum thickness of the gear basic-cutter tooth by a predetermined pitch relief;
- (3) modifying the gear basic-cutter tooth-profile addendum by decreasing an addendum thickness of the gear basic-cutter tooth by the predetermined pitch relief;
- and
- (4) shaping a portion of the gear basic-cutter transition zone between a gear basic-cutter pitch line and a gear basic-cutter tooth-profile addendum point in the form of a smooth curve providing continuity of the gear basic-cutter tooth profile and continuity of the gear basic-cutter tooth profile slope at the gear basic-cutter pitch line and the gear basic-cutter tooth-profile addendum point;
- and
- (b) making the gear with the plurality of gear teeth each having the gear tooth profile conjugate to the gear basic-cutter tooth profile determined in step (a).
Dependencies are inferred from the claim text.