Study and design on high-order deformed elliptic gears

Synthesized the creating mechanism of high-order ellipse and deformed ellipse, a new non-circular gear form named high-order deformed elliptic gear is put forward, where analytical deducing and numerical calculation are combined to establish the mathematical model of ellipse family on the basis of high-order deformed ellipse. To express the asymmetry of transmission ratio in one period, the concept of excursion ratio of minimum transmission ratio position is introduced. Some features, such as rotation angle relation, transmission ratio, curvature radius, arc length calculation etc., are investigated in high-order deformed elliptic gear pairs. The calculating methods of each parameter are adopted comprehensively to design high-order elliptic gears to meet the individual engineering requirements. This design method is naturally suitable for common elliptic gears.