双圆弧谐波减速器刚轮插刀有效长度分析与优化
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作者单位:

1.重庆大学,郑州机械研究所有限公司;2.重庆大学;3.中国科学院深圳先进技术研究院

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基金项目:

广东省重点领域研发计划项目(2019B090917002)


Analysis and Optimization of the Effective Length of the Slotting Cutter for Circular Spline in Double-Circular-Arc Harmonic Drive
Author:
Affiliation:

1.Chongqing University;2.Shenzhen Institutes of Advanced Technology,Chinese Academy of Sciences;3.Chongqing Univesity

Fund Project:

Guangdong Province Key Field R&D Program Project

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    摘要:

    为预估和延长双圆弧谐波减速器刚轮插齿刀有效长度,论文建立了双圆弧刚轮齿廓数学模型,根据运动学法,建立了插刀加工数学仿真模型;根据齿廓法线法,建立了砂轮磨削加工数学模型,推导了刃磨后插刀的等效齿形与加工误差,确定了插刀的有效长度。在此基础上,论文通过优化砂轮齿形与插刀齿数,延长了插刀有效长度。结果表明:优化前55齿插刀有效长度为2.1 mm,0截面插刀加工出刚轮齿形误差为2μm;优化后0截面插刀加工出刚轮齿形误差的最大值为0.14μm。优化后插刀齿数越多,插刀有效长度越长;优化后42齿、55齿、68插刀有效长度分别增加了4.8%、52%、81%。

    Abstract:

    In order to predict and prolong the effective length of the slotting cutter of the double-circular-arc harmonic circular spline, the mathematical model of the circular spline tooth profile was established and the mathematical simulation model of slotting the circular spline was established by the kinematic method. The mathematical simulation model of grinding the slotting cutter was established by the tooth profile normal method, and the equivalent tooth profile, the machining error and the effective length of the slotting cutter were deduced when the slotting cutter was sharpened. On the basis, the effective length of the slotting cutter was prolonged by optimizing the tooth profile of the grinding wheel and the tooth number of the slotting cutter. The results show that the effective length of the slotting cutter with 55 teeth was 2.1 mm. The tooth profile error of the circular spline slotted by the 0-cross section slotting cutter was 2μm. After optimizing the tooth profile of the grinding wheel, the maximum of the tooth profile error of the circular spline slotted by the 0-cross section slotting cutter was 0.14μm, the effective length of the slotting cutter increased as the number of slotting cutter tooth increased, and the effective length of the slotting cutter with 42 teeth increased by 4.8%, the effective length of the slotting cutter with 55 teeth increased by 52%, the effective length of the slotting cutter with 68 teeth increased by 81%.

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  • 收稿日期:2021-08-27
  • 最后修改日期:2021-10-11
  • 录用日期:2021-10-18
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