非圆摆线针轮传动的原理与设计

Principle and Design of Noncircular Pin-Cycloid Gear Transmission

提出一种用于平行轴间变传动比传动的新型齿轮副——非圆摆线针轮传动.建立非圆摆线针轮传动的啮合坐标系,阐述了非圆摆线针轮共轭齿廓的形成原理.建立非圆针轮齿廓方程,利用坐标变换和齿廓共轭原理,根据圆柱针轮刀具的齿廓方程,结合非圆齿轮加工走刀轨迹及啮合方程,推导出非圆摆线轮的齿廓方程.基于上述理论,运用Matlab软件的数值计算实现了非圆摆线针轮副的参数化设计,得到非圆摆线针轮副的设计实例,并实现SolidWorks环境下的实体建模.运用Adams软件分析该齿轮副实例的运动特性,通过仿真实验结果与理论计算结果的对比,验证了该齿轮传动原理与设计的正确性.

Noncircular pin-cycloid transmission is proposed, which can implement variable gear ratio transmission between parallel axes. The meshing coordinate system of the noncircular pin- cycloid gears is set up, with the forming principle of the conjugate profile described. The tooth profile equation of the noncircular pin gear is established, then that of the cycloidal gear is derived through coordinate system transformation, based on the conjugate tooth profile theory, the circular pin gear cutting tool profile equation, and the noncircular pin gear cutting tool path and mesh equation. The parametric design of the gear pair is obtained by Matlab program. The design example of the noncircular pin-cycloid gear is achieved. And the three dimension model is established by SolidWorks. Based on the kinematics analysis of the noncircular pin-cycloid drive by Adams software, the validity of the principle and design of noncircular pin-cycloid drive is verified through the contrast analysis between the experimental and theoretical arithmetic results.