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# Spherical Variable Speed Transmissions

IP.com Disclosure Number: IPCOM000074485D
Original Publication Date: 1971-May-01
Included in the Prior Art Database: 2005-Feb-23
Document File: 3 page(s) / 53K

IBM

## Related People

Freudenstein, F: AUTHOR [+2]

## Abstract

Variable-speed transmission employing spherical ball-coupled elements for providing an output shaft speed which is dependent upon the angular relationships among shafts.

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Spherical Variable Speed Transmissions

Variable-speed transmission employing spherical ball-coupled elements for providing an output shaft speed which is dependent upon the angular relationships among shafts.

Two forms of the device are shown at A and B. In device A, input shaft 1 has a spherical end 4 of radius a. In rolling contact with sphere 4 are balls 5 guided by hemispherical cage 6, which is integral with output shaft 3. The balls 5 also are in rolling contact with hemispherical housing 7, having an inner radius b, which is integral with input shaft 2. Shafts 1 and 2 rotate at constant angular speeds. Motion is transmitted through balls 5 and cage 6 to shaft 3, which rotates at a speed determined by the angle alpha between shafts 1 and 2 and the angle beta between shafts 1 and 3.

The angular velocities of shafts 1, 2 and 3 are denoted by vectors omega(1), omega(w2) and omega(3) having magnitudes (i.e., shaft speeds) of omega(1), omega(2) and omega(3), respectively. These vectors are represented in A by arrows pointing axially of the shafts according to the right-hand rule. The direction in which each shaft rotates is indicated by an arrow encircling the shaft. The relationships among the angular velocities and speeds of the three shafts are expressed by the following equations:

(Image Omitted)

The device functions as a traction-type variable-speed transmission with power being transmitted through the preloaded balls 5 by rolling contact. Speed ratio is adjusted by varying the angles alpha and beta between shafts. This adjustment can be made while the mechanism is stationary or moving.

Device B functions in a manner similar to that of device A. Parts which roughly correspond in the two devices are numbered alike. There is no shaft 1 in device B, and shaft 8...