弧齿锥齿轮齿顶倒棱锥形砂轮加工方法研究

Research on Method of Chamfering Tooth Crest Based on Conical Grinding Wheel for Spiral Bevel Gear

为了实现弧齿锥齿轮齿顶倒棱高效加工,提出一种基于锥形砂轮的倒棱方法。建立弧齿锥齿轮和锥形砂轮的实体模型,以砂轮沿垂直于面锥方向切入最大深度为原则,采用实体接触分析方法,确定砂轮与齿轮的空间运动关系。基于空间运动关系完成倒棱仿真加工,仿真结果表明:该方法可同时加工两侧齿顶,加工效率较高且在通用五轴加工中心上即可实现。为了评价倒棱效果,提出一种倒棱效果的定量测量方法,在倒棱仿真模型上选定的多个测量位置,测量倒棱效果并与理论模型进行比较,依据比较结果可确定砂轮锥角的优化值。

In order to implement efficient and speedy chamfering tooth crest for spiral bevel gear,a chamfering method is proposed by using conical grinding wheel. Solid models of spiral bevel gear and grinding wheel were established,and spatial kinematics transformation relationship between gear and conical grinding wheel was calculated based on the principle of maximal cutting depth along the direction which is perpendicular to the face cone element on axial section of gear by using analytic method of solid contact. Machining simulation of chamfering was implemented based on the spatial kinematics relationship. Simulation result shows that grinding wheel can efficiently cut two sides of tooth crest simultaneously on general five-axis machining center. A method of quantitative measurement is proposed to evaluate machining effect of chamfering,some measurement locations are chosen on the machining simulation model,and measurement effects of chamfering are compared with theoretical model. Optimal cone angle of grinding wheel is determined by comparing error values.