外啮合高阶分段变性椭圆齿轮虚拟插削与分析

为了探索节曲线内凹的高阶分段变性椭圆(斜)齿轮插削方法,基于外啮合非圆齿轮的运动特征和节曲线规律,建立高阶分段变性椭圆直齿轮展成插削加工数学模型和插齿刀数学模型;利用计算机技术对高阶分段变性椭圆节曲线凹凸性和凹凸部最小半径进行校验;构建直齿高阶分段变性椭圆齿轮齿坯等极角、齿坯等弧长和齿坯等转角插削方案,设计斜齿高阶分段变性椭圆轮的齿坯和插齿刀附加运动,利用Solidworks二次开发功能进行仿真加工。虚拟插削结果表明节曲线内凹的高阶分段变性椭圆(斜)齿轮能采用上述方法进行插削,相同插削效率下,等弧长插削出的高阶分段变性椭圆齿轮齿廓精度一致,其余插削方案各齿廓精度有差异;斜齿轮插削附加运动对齿向精度无影响。

VIRTUAL SLOTTING AND ANALYSIS OF EXTERNAL HIGH ORDER SEGMENT DEFORMED ELLIPTIC GEARS

The slotting method of external higher order deformed segment elliptic gears with partial concave pitch curve was studied. Base on slotting features of non-circular gears and pitch curve principle of elliptic gears, the slotting model of spur gears and slotting cutter was built by using SolidWorks. We also verify the partial concave pitch curve and minimum radius of higher order deformed segment elliptic gears based on the computer technology. Some slotting schemes of spur gear were constructed, which includes the equal polar-angle of workpiece, the equal rotary-angle of workpiece and the equal arc-length of workpiece. The extra rotation of slotting and extra rotation of workpiece of helical gear along its shaft were designed. Those methods were simulated using secondary development function of Soldworks. Virtual slotting indicated that external higher order deformed segment elliptic gears can be slotted by using above schemes. The slotting accuracy among teeth is the same in using the method of equal arc-length of workpiece and other slotting accuracy among teeth is different under the same stroke speed of slotting cutter. The tooth profile accuracy is independent of increment motion.