基于虚拟碰撞体的弧齿锥齿轮网格实体构建算法

Mesh Solid Construction Algorithm of Spiral Bevel Gear Based on Virtual Collision Body

为提升拖拉机后桥生产自动化、智能化水平和生产效率,构建了基于虚拟碰撞体的弧齿锥齿轮网格实体进行拖拉机后桥人机交互虚拟仿真试验。结合格里森制弧齿锥齿轮加工过程,分析圆弧直齿轮的加工工艺,运用运动学建立弧齿锥齿轮成型工艺的数学模型;运用微分法和插值法对齿轮曲线和曲面进行拟合,求解出弧齿锥齿轮轮廓点集,构建弧齿锥齿轮的网格实体和碰撞体,并使用曲率检验对网格实体的轮廓精度进行验证。结果表明:该算法能准确地拟合格里森制弧齿锥齿轮的轮廓。

In order to improve the production automation, intelligence level and production efficiency of the tractor rear axle, the spiral bevel gear mesh entity based on the virtual collision body is constructed to carry out the human-machine interaction virtual simulation experiment of the tractor rear axle. The spiral bevel gear made by Gleason as is taken an example, the processing technology of arc spur gear is analyzed, the kinematics is used to establish a mathematical model of the spiral bevel gear forming process. The differential and interpolation methods are used to fit the gear curve and surface, the contour point set of the spiral bevel gear is solved, the mesh entity and collision body of the spiral bevel gear are constructed, and the contour accuracy of the mesh entity is verified by the curvature test. The results show that the algorithm can accurately fit the contour of Gleason spiral bevel gears.