The design methodology and characteristics analysis of a uniform-variable non-circular gear drive

In order to meet the requirements of the ideal kinematics characteristics of the driven gear, a new kind of uniform-variable non-circular gear is proposed. According to the ideal speed curve and acceleration curve, the concept of the uniform-variable non-circular gear is analyzed. The pitch curve equations are derived and the formulas for calculating the gear’s section length and center distance are established. A design procedure is developed and a simplified derivation of the mathematical model is presented. A few characteristics, such as pressure angles, the undercut and the contact ratio, of this new drive are analyzed. The results confirm that the proposed design method is more flexible to control the shape of the pitch curves by changing the parameters of the given speed curve and acceleration curve.