Abstract
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.
Highlights
Gears are one of essential components of machines and mechanisms
According to demands specified by the customer for his practical application, it was necessary to create the geometrical model of a gear transmission with continuously changing gear ratio so that given transmission meets the conditions for the correct mesh of the gears
These non-circular gear sets were developed considering the law of motion of the driven gear, for variable gear ratio and the elliptical shape of pitch curve of the driving gear wheel [32]
Summary
Gears are one of essential components of machines and mechanisms. They are still very important elements in machine design and are irreplaceable in many cases. “standard” gear transmissions are used the most commonly They can be characterized by a constant gear ratio. This means that when the drive gear rotates, the driven gear rotates evenly, so the gear ratio has to be constant during one revolution The teeth of these “standard” gears have the same shape on one gear and the teeth profile is symmetrical (in exceptional cases asymmetrical) [4]. The design of a planetary mechanism with non-circular gear transmission is solved in [16,17]. The work presented in this paper deals with the design of the geometrical model of a nonstandard eccentric elliptical gear transmission with a continuously changing gear ratio for specific parameters and with the description of its meshing, velocity and force relations
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