车齿法加工偏置螺旋齿面齿轮新建模方法及原理性验证  

New Modeling Method and Principle Verification of Biased Helical Tooth Surface Gear Processing by Turning Tooth Method

作　　者：王利兵 沈云波[1] WANG Libing;SHEN Yunbo(School of Mechatronic Engineering,Xi′an Technological University,Xi′an Shaanxi 710021,China)

机构地区：[1]西安工业大学机电工程学院,陕西西安710021

出　　处：《机床与液压》2025年第1期80-86,共7页Machine Tool & Hydraulics

摘　　要：针对现有的面齿轮展成加工理论模型不能实现偏置螺旋齿面齿轮加工的问题,根据偏置螺旋齿面齿轮插齿和面齿轮车齿加工原理,提出一种车齿法加工偏置面齿轮的理论建模方法。采用斜齿轮当量齿数的方法,由与面齿轮啮合的圆柱齿轮齿数设计车齿刀具齿数,构建具有前刀面刀具的结构模型,获得车齿刀具刃形曲线方程。建立偏置面齿轮加工中刀具、工件和圆柱齿轮三者之间的布置模型、车齿加工运动关系模型及车齿加工坐标系,采用包络法推导出刀具与工件的啮合方程,进一步得到偏置螺旋齿面齿轮方程。利用VERICUT软件对车齿过程进行仿真加工,分析车齿齿面过切与残留的原因。最后,开展车齿法加工偏置螺旋齿面齿轮的试验,初步验证了刀具设计的合理性与理论加工模型的可行性。Aiming at the problem that the existing theoretical model of face gear generating processing can not realize the machining of biased helical surface gear,a new theoretical modeling method of gear turning for gear with biased helical face was proposed according to the principle of biased helical gear slotting process and face gear turning.Using the method of equivalent number of teeth of helical gear,the teeth number of cutting tool was designed based on the teeth number of cylindrical gear meshing with face gear,the structural model of cutting tool with front surface was constructed,and the curve equation of cutting tool was obtained.The layout model of tool,workpiece and cylindrical gear in offset gear machining,the motion relation model and the coordinate system of gear machining were established.The meshing equation between tool and workpiece was deduced by using enveloping method,and the gear equation of biased helical gear was obtained.VERICUT was used to simulate the process of turning teeth,and the causes of overcutting and residual of turning teeth were analyzed.Finally,the experiment of machining offset helical gear with gear turning method was carried out,and the rationality of tool design and the feasibility of theoretical machining model are preliminatively verified.

关 键 词：车齿法 偏置螺旋齿面齿轮 车齿刀结构 仿真及原理性验证 

分 类 号：TH132.41[机械工程—机械制造及自动化]