Study and Design on High-Order Deformed
Elliptic Gears
Zhang Rui,Wu Xutang, Nie Gang,Li Jiangang
(School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an 710049,China)
Abstract: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.
Keywords:gears;elliptic gears;deformed ellipse