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US 10,550,914 B2Granted
Concave-convex arc line gear mechanism for parallel shaft transmission
AssigneeSouth China University of Technology
InventorsYangzhi Chen, Li Yao
Life of this patent
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Abstract
The present invention relates to a concave-convex arc line gear mechanism for parallel shaft transmission, which comprises a driving line gear and a driven line gear, axes of the driving line gear and the driven line gear being parallel to each other to form a transmission pair.
Claims7
A concave-convex arc line gear mechanism for a parallel shaft transmission comprising, a driving line gear and a driven line gear, axes of the driving line gear and the driven line gear being parallel to each other to form a transmission pair;
- the driving line gear comprising convex line teeth and a driving wheel body, a surface of a convex line tooth comprising a pair of convex arc-shaped tooth flanks and a tooth top surface and the driven line gear comprising concave teeth and a driven wheel body, a surface of a concave tooth comprising a pair of concave arc-shaped tooth flanks and a tooth bottom surface,
- wherein the convex line tooth of the driving line gear is formed by a driving tooth profile composed of two sections of arcs and a section of a straight line moving along a driving contact curve and two driving tooth thickness auxiliary curves;
- the concave tooth of the driven line gear is formed by a driven tooth profile composed of two sections of arcs and a section of a straight line moving along a driven contact curve and two driven tooth thickness auxiliary curves;
- wherein the driving contact curve and the driven contact curve are a pair of conjugate space curves which conform to space curve meshing equations;
- and a tooth profile of the convex line teeth of the driving line gear and a tooth profile of the concave teeth of the driven line gear are located on normal planes of the driving contact curve and the driven contact curve, respectively,
- and wherein the two driving tooth thickness auxiliary curves comprise a first driving tooth thickness auxiliary curve and a second driving tooth thickness auxiliary curve, the first driving tooth thickness auxiliary curve being located between the driving contact curve and the second driving tooth thickness auxiliary curve, with an equation of the first driving tooth thickness auxiliary curve in a coordinate system o1−x1y1z1 being as follows:
- {
- x
- M
- 11
- (
- 1
- )
- =
- m
-
-
- cos
-
-
- t
- -
- c
- 1
-
- n
-
-
- sin
-
-
- t
- n
- 2
- +
- m
- 2
- y
- M
- 11
- (
- 1
- )
- =
- m
-
-
- sin
-
-
- t
- +
- c
- 1
-
- n
-
-
- cos
-
-
- t
- n
- 2
- +
- m
- 2
- x
- M
- 11
- (
- 1
- )
- =
- n
-
-
- π
- +
- n
-
-
- t
- -
- c
- 1
-
- m
- n
- 2
- +
- m
- 2
- ,
- wherein, t is a parameter,
- t
- ∈
- [
- t
- s
- ,
- t
- e
- ]
- ,
- Δ
-
-
- t
- =
- t
- e
- -
- t
- s
- ,
- t
- s
- =
- -
- π
- -
- Δ
-
-
- t
- 2
- ,
- t
- e
- =
- -
- π
- +
- Δ
-
-
- t
- 2
- ,
- satisfying a contact ratio condition:
- ξ
- =
- Δ
-
-
- t
- ×
- number
-
-
- of
-
-
- teeth
-
-
- of
-
-
- driving
-
-
- wheel
- 2
-
- π
- ≥
- 1
- ;
- m is a helical radius of the space helical curve, n is a parameter of a pitch of the space helical curve, and the pitch p=2πn;
- an equation of the second driving tooth thickness auxiliary curve in the coordinate system o1−x1y1z1 being as follows:
- {
- x
- M
- 12
- (
- 1
- )
- =
- m
-
-
- cos
-
-
- t
- -
- 2
-
- c
- 1
-
- n
-
-
- sin
-
-
- t
- n
- 2
- +
- m
- 2
- y
- M
- 12
- (
- 1
- )
- =
- m
-
-
- sin
-
-
- t
- +
- 2
-
- c
- 1
-
- n
-
-
- cos
-
-
- t
- n
- 2
- +
- m
- 2
- z
- M
- 12
- (
- 1
- )
- =
- n
-
-
- π
- +
- n
-
-
- t
- -
- 2
-
- c
- 1
-
- m
- n
- 2
- +
- m
- 2
- ,
- wherein, 2c1 is a tooth thickness of the driving gear tooth;
- the two driving tooth profile arcs are symmetrical about the first driving tooth thickness auxiliary curve, and a radius of the arcs are ρ1;
- at a meshing point, an angle between a line which connects the meshing point and an arc center and a binormal vector γ of the driving contact curve is φ;
- the driving tooth profile straight line segment section and the binormal vector γ of the driving contact curve are parallel to each other, a distance between the driving tooth profile straight line segment section and the binormal vector γ is ha1, ha1=ha*×ρ1(1−sin φ), wherein ha* is an addendum coefficient, a range of ha* being 0.8˜0.97, and a length of the driving tooth profile straight line segment depends on the driving tooth thickness 2c1, the arc radius ρ1, the angle φ and ha1, which is obtained by intercepting a specific distance ha1 from a straight line with the two driving tooth profile arcs.
267 more elements
Dependencies are inferred from the claim text.