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为了建立精确的内齿珩轮齿面模型,通过对内啮合珩齿加工原理的分析,建立了珩轮与工件的空间坐标系,并根据共轭曲面接触条件推导了工件齿面的接触线方程和珩轮的齿面方程。通过在Matlab对珩轮的齿面方程进行参数化编程,计算得到珩轮齿面的接触线数据,并以此为基础在SolidWorks中对珩轮齿面进行精确的建模,进而建立内齿珩轮的三维模型。以珩轮与工件在接触点处的相对运动速度和工件齿面的珩削轨迹为对象,分析了在内啮合珩齿加工时变轴交角珩轮修整工艺对工件齿面的影响。
In order to establish the accurate internal gear honing model, the space coordinate system between the honing wheel and the workpiece is established by analyzing the machining principle of the internal gear honing. The contact line equation of the workpiece tooth surface is deduced according to the contact condition of the conjugate surface And the honing wheel’s tooth surface equation. Through the parametric programming of the tooth surface equation of the honing wheel in Matlab, the contact line data of the honing tooth surface is calculated, and based on the accurate modeling of the honing tooth surface in SolidWorks, the internal tooth hone Three-dimensional model of the wheel. Based on the relative velocity between the honing wheel and the workpiece at the contact point and the honing path of the workpiece tooth surface, the effect of the variable shaft honing honing process on the tooth surface of the workpiece during the internal gear honing process was analyzed.