Matched equilibrium gear mechanism

Patent metadata

Field	Value
Publication number	US-11543014-B2
Application number	US-202016851398-A
Country	US
Kind code	B2
Filing date	Apr 17, 2020
Priority date	May 31, 2019
Publication date	Jan 3, 2023
Grant date	Jan 3, 2023

Abstract

A method is provided for producing gears to balance counteracting gravity moment and a torque equilibrator across an elevation range. The method includes assigning a value to summation of pitch radii of the first and second non-circular gears; calculating a torque for both the non-circular gears for an angle within the elevation range; calculating a first pitch radius of the first non-circular gear by the gravity moment and the torsion equilibrator; calculating a second pitch radius of the second non-circular gear from the summation; and fabricating the non-circular gears based on the first and second pitch radii.

First claim

What is claimed is:

1. A method for producing first and second non-circular gears to balance counteracting gravity induced torque and a torsion equilibrator spring across an elevation range, said method comprising:
assigning a radial sum for both pitch radii of the first and second non-circular gears;
calculating a torque for both the non-circular gears for an elevation angle within the elevation range;
calculating a first pitch radius of the first non-circular gear by the gravity induced torque and the torsion equilibrator spring for said elevation angle;
calculating a second pitch radius of the second non-circular gear by subtracting said first pitch radius from said radial sum for said elevation angle;
repeating said calculating operations for a plurality of elevation angles across the elevation range;
producing first and second profiles corresponding to said first and second pitch radii along said plurality of elevation angles; and
fabricating the non-circular gears based on said first and second profiles.

2. The method according to claim 1 , wherein said first pitch radius is calculated from:

r
1

=

Wd
⁢

⁢
cos
⁢

⁢

θ
1

k
⁡

(

P
-

θ
2

)

⁢

C

1
+

Wd
⁢

⁢
cos
⁢

⁢

θ
1

k
⁡

(

P
-

θ
2

)

,

where r 1 is said first pitch radius, C is said radial sum, W and d are weight and moment distance for the gravity induced torque, θ 1 is said elevation angle, θ 2 is twist angle, k is spring constant for the torsion equilibrator and P is a preload angle for the torsion equilibrator spring.

3. The method according to claim 1 , wherein the non-circular gears are composed of stainless steel.

4. The method according to claim 1 , wherein a circular gear cuts one of the non-circular gears for said fabricating operation.

Assignees

• Helton Justin R
• Us Navy

Inventors

• Helton Justin R

Classifications

• F16H2035/003

  Gearings comprising pulleys or toothed members of non-circular shape, e.g. elliptical gears · CPC title

• B23F15/00 Primary

  Methods or machines for making gear wheels of special kinds not covered by groups B23F7/00 - B23F13/00 · CPC title

• F16H57/00 Primary

  General details of gearing (of screw-and-nut gearing F16H25/00; of fluid gearing F16H39/00 - F16H43/00) · CPC title

• Y10T29/49476

  Gear tooth cutting · CPC title

• G01M1/12

  Static balancing; Determining position of centre of gravity (by determining imbalance G01M1/14) · CPC title