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

  • Jian WangEmail author
  • Jianming Fan
  • Yong Feng
Original Paper


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.


Gear drive Uniform-variable non-circular gear Design methodology Pitch curve Transmission characteristics 



The work was supported by the National Natural Science Foundation of China under No. 51205335 and No. 51375411, the Scientific Research for the High Level Talent of Nanjing Institute of Technology under No. YKJ201702. These financial supports are gratefully acknowledged. The authors also sincerely appreciate the comments and modification suggestions made by the editors and anonymous referees.


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Copyright information

© Springer-Verlag France SAS, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringNanjing Institute of TechnologyNanjingPeople’s Republic of China
  2. 2.School of Mechanical and Automotive EngineeringXiamen University of TechnologyXiamenPeople’s Republic of China

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