About the article
A.A. GOLOVNIN, Cand. Sc.
The article is devoted to substantiating the possibility of a unified approach to determining the gear ratio of mechanical gears with both movable and fixed axles. It is shown that the derivation of equations for the gear ratio of a planetary mechanism, along with the Willis method, can be performed similarly to mechanical transmissions with fixed axes based on the concept of an instantaneous center of velocities. To do this, similarly to mechanical gears with fixed axes, the planetary mechanism must be divided into two simple mechanisms, the first of which contains a solar and planetary wheel, and the second – a planetary wheel and a carrier rotating around their own instantaneous centers of velocities. The derivation of the equation has the same reasoning logic as the graphoanalytic Kutzbach–Smirnov method. The combined use of analytical and graphoanalytic methods with the same nature allows you to combine accuracy in the first case, and visibility in the second, which is most appropriate in the learning process and contributes to better mastering the kinematics of the planetary mechanism, which is usually difficult to study.
planetary mechanisms, gear ratio, analytical method, instantaneous center of rotation.