The Kinematic Analysis of a Planetary Gear Mechanism for Converting Rotational Motion into Reciprocating Rotational Motion

Mechanisms that convert rotational motion into reciprocating rotational motion are widespread in mechanical engineering. Traditionally, these converters are lever mechanisms that have large dimensions, as well as a small volume utilization factor of the drive. It is proposed to use a double-row planetary gear mechanism with two external gears in which circular gearwheels are replaced by elliptic ones. As a result, the rotational motion of the input link is converted into the reciprocating rotational motion of the output link due to the variable gear ratio of elliptical gears. The kinematic analysis of the proposed mechanism is conducted; the rotation angle function and the velocity analogue of the output shaft are determined. It is shown that an oscillation angle depends on the selection of the elliptical gearwheel eccentricities and the position of the satellite gears. The oscillation angle increases with the increase of the wheel eccentricity; and asymmetry of the output shaft speed is observed. The proposed converters can be recommended for use in vehicles that have a large coefficient of the mechanism’s velocity change.

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