3 D-simulation and Analysis of Multiple Slotting External Elliptic Gears
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摘要: 为验证外啮合椭圆齿轮插削模型并分析比较多方案插削齿面精度,基于非圆齿轮啮合原理,建立椭圆齿轮插削啮合数学模型及插齿刀数学模型,构建平面内齿坯等弧长转动、齿坯等转角转动、齿坯等极角转动及轴向无附加运动、齿坯附加运动、插齿刀附加运动多个仿真方案,仿真各方案的插削刀位轨迹。结果显示:插削啮合数学模型及仿真技术正确可行;相同效率下,齿坯等弧长运动精度最高;插齿刀冲程速度相同下,齿面精度仅决定于平面运动方式。Abstract: To verify the correctness of the slotting model for external elliptic gears, and to compare the toothaccuracy slotted with multiple schemes, several 3D-simulational mathematical models of slotting elliptic gears andslotting cutter were built by using MATLAB software based on the meshing principle of non-circular gears. Severalsimulation schemes including equal arc-length of workpiece, equal rotary-angle of workpiece, equal polar-angle ofworkpiece in plane, extra rotation of workpiece, extra rotation of slotting cutter and no extra rotation along axle werebuilt. The tool path of each scheme was simulated, which shows that the mathematical models and simulationtechniques of slotting elliptic gears are correct and feasible. The scheme of equal arc-length of workpiece has thehighest accuracy with the same efficiency and tooth accuracy only depends on motion pattern in plane under thesame stroke speed of slotting cutter.
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Key words:
- computer simulation /
- efficiency /
- elliptic gears /
- external gears /
- gears
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