范成法加工渐开线齿轮的根切机制研究

Research on the Root Cutting Mechanism of Involute Gears Machining Using the Generating Method

通过建立标准齿条刀具齿廓曲线方程,使用VB.NET编程语言在AutoCAD环境下进行二次开发,开发了范成法加工渐开线齿轮和根切全过程动态模拟程序,进一步研究和探索齿轮根切过程和根切机制,并精确求解出最大根切半径。更正了最大根切半径等于被加工齿轮回转中心到刀具齿顶线与啮合线交点间距离的错误结论。在此基础上,重新确定了变位系数选择封闭线图中的根切至大、小齿轮齿廓工作段起始点时的限制条件,确定了大、小齿轮齿根处发生干涉的限制条件,从而可准确绘制出变位系数选择封闭线图。

By establishing the standard rack tool profile curve equation,using the VB.NET programming language to carry out secondary development in AutoCAD environment,the dynamic simulation program of the whole process of involute gears and root cutting is developed using the generating method to further study and explore the gear root cutting process and root cutting mechanism,and the maximum root cutting radius is accurately solved.The wrong conclusion that the maximum root cutting radius is equal to the distance between the center of rotation of the gear being machined and the intersection point between the top line of the tool teeth and the line of engagement is corrected.Based on this,the limiting conditions of the root cutting to the starting point of the working section of the big and small gear tooth profile and the interference at the root of the big and small gear are redetermined in the closed diagram selected by the displacement coefficient.Then the closure line chart of the modification coefficient selection can be drawn accurately.