Apparatus and method for managing pinch loads on a gear
A planet gear includes a pin and an annular planet gear rim. The pin has a pin radius. The pin includes a pin outer surface. The annular planet gear rim has an inner radius and an outer radius. The annular planet gear rim includes an inner surface and an outer surface. The inner surface and the pin outer surface define a clearance therebetween. The clearance is greater than 0 when a radial force is applied to the planet gear.
1. A planet gear comprising:
a pin having a pin radius, said pin comprising a pin outer surface;
a fluid film disposed circumferentially about said pin;
an annular planet gear rim disposed circumferentially about said fluid film and said pin, said annular planet gear rim having an inner radius, a diameter, and an outer radius, said annular planet gear rim comprising an inner surface and an outer surface, said inner surface and said pin outer surface defining a clearance therebetween, wherein the clearance is greater than 0 when a radial force is applied to said planet gear, wherein said fluid film allows said annular planet gear rim to rotate around said pin and allows said annular planet gear rim to deform when the radial force is applied to said planet gear.
2. The planet gear of claim 1 further comprising a bearing, wherein said annular planetary gear rim is disposed circumferentially about said bearing.
3. The planet gear of claim 2 , wherein said bearing comprises a journal bearing.
4. The planet gear of claim 1 , wherein the inner radius and the outer radius define a rim thickness therebetween, said annular planet gear rim further having a bending stress neutral axis, a width, a Young's Modulus, and a gear pinch ratio, wherein the gear pinch ratio is defined by
Γ
=
[
R
3
·
F
r
T
3
·
w
·
c
]
·
[
3
(
π
2
-
8
)
E
·
2
π
]
wherein “R” is the bending stress neutral axis radius, “F r ” is the radial force, “T” is the rim thickness, “w” is the width, “c” is the clearance, “E” is the Young's Modulus, and “Γ” is the gear pinch ratio, wherein the gear pinch ratio is less than or equal to about 1.
5. The planet gear of claim 4 , wherein the gear pinch ratio includes values in a range from and including about 0.1 to and including about 0.9.
6. The planet gear of claim 4 , wherein the gear pinch ratio includes values in a range from and including about 0.25 to and including about 0.75.
7. The planet gear of claim 1 , wherein a clearance ratio is defined as the clearance divided by the diameter, wherein the clearance ratio includes values in a range from and including about 0.0005 inches of the clearance per inch of the diameter to and including about 0.003 inches of the clearance per inch of the diameter.
8. A gear assembly comprising:
a sun gear;
a ring gear; and
a plurality of planet gears coupled to said ring gear and said sun gear, each planet gear of said plurality of planet gears comprising:
a pin having a pin radius, said pin comprising a pin outer surface;
a fluid film disposed circumferentially about said pin;
an annular planet gear rim disposed circumferentially about said fluid film and said pin, said annular planet gear rim having an inner radius, a diameter, and an outer radius, said annular planet gear rim comprising an inner surface and an outer surface, said inner surface and said pin outer surface defining a clearance therebetween, wherein the clearance is greater than 0 when a radial force is applied to said planet gear, wherein said fluid film allows said annular planet gear rim to rotate around said pin and allows said annular planet gear rim to deform when the radial force is applied to said planet gear.
9. The gear assembly of claim 8 further comprising a bearing, wherein said annular planetary gear rim is disposed circumferentially about said bearing.
10. The gear assembly of claim 9 , wherein said bearing comprises a journal bearing.
11. The gear assembly of claim 8 , wherein the inner radius and the outer radius define a rim thickness therebetween, said annular planet gear rim further having a bending stress neutral axis radius, a width, a Young's Modulus, and a gear pinch ratio, wherein the gear pinch ratio is defined by
Γ
=
[
R
3
·
F
r
T
3
·
w
·
c
]
·
[
3
(
π
2
-
8
)
E
·
2
π
]
wherein “R” is the bending stress neutral axis radius, “F r ” is the radial force, “T” is the rim thickness, “w” is the width, “c” is the clearance, “E” is the Young's Modulus, and “Γ” is the gear pinch ratio, wherein the gear pinch ratio is less than or equal to about 1.
12. The planet gear of claim 11 , wherein the gear pinch ratio includes values in a range from and including about 0.1 to and including about 0.9.
13. The planet gear of claim 11 , wherein the gear pinch ratio includes values in a range from and including about 0.25 to and including about 0.75.
14. The gear assembly of claim 11 , wherein said sun gear, said plurality of planet gears, and said ring gear define a planetary configuration, wherein said sun gear is configured to rotate said plurality of planet gears, and wherein said ring gear is configured to remain stationary.
15. The gear assembly of claim 11 , wherein said sun gear, said plurality of planet gears, and said ring gear define a star configuration, wherein said sun gear is configured to rotate said plurality of planet gears, and wherein said plurality of planet gears are configured to rotate said ring gear.
16. The gear assembly of claim 11 , wherein said sun gear, said plurality of planet gears, and said ring gear define a solar configuration, wherein said sun gear is configured to remain stationary, and wherein said plurality of planet gears are configured to rotate said ring gear.
17. The gear assembly of claim 8 , wherein a clearance ratio is defined as the clearance divided by the diameter, wherein the clearance ratio includes values in a range from and including about 0.0005 inches of the clearance per inch of the diameter to and including about 0.003 inches of the clearance per inch of the diameter.