滚齿加工运动三维仿真

3-Dimensional Kinematics Simulation of Gear Hobbing

针对滚齿加工仿真中由于模型简化而带来的仿真精度问题,提出了基于实体造型的滚齿加工运动三维仿真方法;通过对滚刀与工件之间的运动关系、位置关系分析,建立了基于时间驱动的滚齿加工运动矢量模型。基于UG(Unigraphics NX)二次开发平台,分别构建了滚刀刀齿前刀面几何模型与刀齿空间运动轨迹曲线几何模型,并将二者进行联立构造出滚刀刀齿空间三维扫掠几何实体。将每个工作刀齿所形成的刀齿扫掠几何实体与瞬时齿槽几何实体进行布尔减运算,得到各刀齿在其展成位置切削去除的未变形几何切屑实体与最终仿真齿廓几何模型。齿轮端面仿真齿廓与理论渐开线齿廓比较,验证了所提出方法的有效性与精确性。

To save inevitable modeling insufficiencies owing to the simplified modeling strategie, 3-dimensional kinematics simulation of gear hobbing based on solid modeling was developed. On the basis of the kinematic relationship and positional relationships between the hob cutter and work piece, the vector model of the gear hobbing motion based time-driven was put forward. Based on UG Secondary Development, geometrical model of hob tooth rake face and curvilinear model of hob tooth path were developed, and the swept geometric entity of the hob tooth was developed through the use of the combination of these two models. The intersection of every swept geometric entity and instantly formed working gear gap could be calculated by means of Boolean operation, by which the undeformed chip and gear gap profile could be obtained. The confirmation of the validity and accuracy of the proposed method was accomplished by comparison between the produced gear gap profile and theoretical ones.