Spiral bevel gear

Reducer

Machining

Ellipse

Involute gear

Engineering

Geometry

Rotation (mathematics)

Involute

Bevel gear

Structural engineering

Mathematics

Gear pump

Hobbing

Electrical engineering

Cycloid gear

Cycloid

Gear train

Transmission (telecommunications)

Non-circular gear

Gear ratio

Mechanical engineering

Applied Sciences

In this paper, the authors present the design of a suitable gear transmission with the continuously changing gear ratio in the range from 0.5 through 1.0 to 2.0 and back during one revolution of intermeshing gears, according to demands specified for a practical application. The gear train was designed as a pair of identical elliptical gears and the design procedure of the suitable pitch curve (ellipse) is described. The center of rotation of each of the gears is coincident with one of the pitch ellipse foci, so the gears are placed eccentrically. The gear teeth have involute profiles, but the involutes for the active and for the passive tooth sides are different. These are gears with an asymmetrical tooth profile. In the final part, the paper deals with kinematical characteristics of the designed non-circular gear transmission, which differ from the kinematical characteristics of standard circular gear transmissions with a constant gear ratio.

Design of Geometrical Parameters and Kinematical Characteristics of a Non-circular Gear Transmission for Given Parameters