Noncircular gear can realize variable speed transmission between two shafts. It is a variable speed mechanism with superior transmission characteristics. Due to the unique advantages of non-circular gears, non-circular gears are often required to meet the specific transmission ratio requirements in applications to complete special functional relationships or improve mechanical motion.
The pitch curve of non-circular gear is the key to the innovation of non-circular gear. Many scholars are studying the pitch curve of non-circular gear and put forward some new non-circular gears. In the design of non-circular gear, the transmission ratio is obtained after the pitch curve is determined, that is, the pitch curve is constructed by using the closed and conjugate conditions of non-circular gear, and the pitch curve is designed to realize the specific transmission ratio function.
For the analysis of pitch curve and transmission ratio of non-circular gear, he Jingliang studied the variable elliptical gear mechanism and solved the speed, but did not carry out three-dimensional simulation in the end. Figliolini and others designed the non-circular gear, mainly including pressure angle, pitch curve and concavity and convexity, but did not establish the three-dimensional model of the non-circular gear. Liu et al. Designed the high-order non-circular gear and gave the specific design process, but did not analyze the specific example. Xie Ruixue and others studied the denatured elliptical gear and analyzed the example with MATLAB, but in the end, there was no three-dimensional simulation analysis. Liu Yang and others have done research on the denatured elliptical gear and made three-dimensional modeling, but they have not done kinematics research.
Analyzing the existing contents, it is found that the design of non-circular gears is mostly based on two-dimensional software, and the extraction process of tooth profile points of non-circular gears is cumbersome and takes a long time. Most papers only do simulation analysis on non-circular gears without theoretical analysis, resulting in loose design results. The complete presentation of the non-circular gear design process provides a reference for other articles.