高精度拟合的成形铣齿刀具刃型设计与仿真研究

Research on design and simulation of high precision fitting forming milling tool edge

  • 摘要: 成形铣齿刀具应用于铣削大模数齿轮,其刃型的拟合精度直接影响加工齿面的精度。针对成形铣齿刀具加工齿轮齿廓精度不高的问题,提出一种小分段NURBS高精度拟合斜齿齿轮铣刀刃型的方法。基于齿轮啮合原理,利用MATLAB建立斜齿轮齿面数学模型,利用坐标变换得出刀具铣削斜齿轮的接触线以及刀具刃型点,对刃型点进行传统的单圆弧拟合、分段三次拟合、小分段NURBS拟合得到不同精度刀具刃型。为验证小分段NURBS拟合刃型的加工精度,利用VERICUT对不同精度刃型刀具进行成形铣削加工,与标准斜齿轮齿廓对比。研究表明,小分段NURBS拟合刃型刀具使加工出的齿面精度提高。

     

    Abstract: Forming milling cutter is used to mill large modulus gears, and the fitting accuracy of its blade type directly affects the accuracy of the machined tooth surface. Aiming at the problem of low precision of gear tooth profile machined by forming milling cutter, a method of high precision fitting of helical gear milling cutter edge shape by small segment NURBS is proposed. Based on the principle of gear meshing, the mathematical model of helical gear tooth surface is established by MATLAB. The contact line and tool edge point of helical gear milling are obtained by coordinate transformation. The traditional single arc fitting, piecewise cubic fitting and small piecewise NURBS fitting are carried out on the edge point to obtain different precision tool edge types. In order to verify the machining accuracy of small piecewise NURBS fitting edge, VERICUT is used to form milling of different precision edge tools, and compared with the standard helical gear profile. The research shows that the precision of the machined tooth surface is improved by the small segmented NURBS fitting edge tool.

     

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