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双圆弧谐波刚轮刮齿加工原理及刀具设计
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Machining Principle and Cutter Design of Double-arc Harmonic Rigid Gear Skiving
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    摘要:

    为提高谐波齿轮的加工精度和效率,提出一种适应双圆弧谐波刚轮的刮齿加工原 理和刀具设计方法. 根据包络理论求解谐波刚轮共轭齿廓,并采用最小二乘法拟合;通过构建 刮齿加工坐标系和前刀面坐标系求解刮齿刀具共轭面和前刀面模型,并用NURBS曲面拟合; 根据牛顿迭代法求解前刀面与共轭面交点获取切削刃数据,导入CAD软件建立刮齿刀具数学 模型 . 在此基础上,分析不同前角和后角对刮齿刀具齿廓误差的影响,结果表明:由于前角和 后角,刮齿刀具切削刃实际齿廓和理论齿廓产生一定偏差,该齿廓偏差从齿顶到齿根逐渐增 大,并随着前角和后角的增大而增大.

    Abstract:

    In order to improve the machining accuracy and efficiency of harmonic gear, this paper proposes a skiving machining and the tool design method for double-arc harmonic rigid wheels. Based on the envelop theory, the conjugate tooth profile of the harmonic rigid wheels is solved, and the least squares method is used to fit it. The conju? gate surface and rake surface are solved by constructing the skiving machining coordinate system and rake face coor? dinate system, and NURBS surface is used to fit. The rake and conjugate surface are intersected by Newton interative method to obtain the cutting edge data, and the mathematical model of skiving tool is established by importing the data to CAD software. On this basis, the influence of different rake edge angles and back edge angles on tool profile error is analyzed. The results show that the skiving tool has a certain deviation between the actual tooth profile and the theoretical tooth profile due to the rake edge angle and back edge angle, and this deviation increases gradually from the tooth tip to the tooth root with the increase of rake angle and back angle.

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莫帅 ,王赛赛 ,罗炳睿 ,岑国建 .双圆弧谐波刚轮刮齿加工原理及刀具设计[J].湖南大学学报:自然科学版,2022,49(8):101~108

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  • 在线发布日期: 2022-09-07
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