基于解析计算的螺旋锥齿轮切削仿真算法

A Cutting Simulation Algorithm of Spiral Bevel Gears Based on Analytic Calculation

为检验螺旋锥齿轮数控机床的加工运动过程,提出一种基于解析计算的切削仿真算法。将刀盘切削轮坯形成齿面的过程离散成一系列刀片圆锥体切削轮坯层圆的切削运动,通过解析计算求解圆锥体和层圆的交点来获得分布均匀的齿面数据点,实现螺旋锥齿轮多次切削可视化仿真,并量化切削所用刀片数,生成具有真实齿面的螺旋锥齿轮数字化模型。仿真生成的齿面点与CAD软件求解的仿真齿面点一致,验证了算法的有效性。

A cutting simulation algorithm of spiral bevel gears was put forward to verify the movement in the CNC machine cutting process.The algorithm separated the cutting process into a series of discrete cutting movements.The cutting movement number was quantified by computing the amount of cutting blades.For any discrete movement,the algorithm interpreted the cutter blades and the spiral bevel gear as cones and layer circles respectively.So the data points on the gear tooth surface were generated by calculating the intersection points of the cones and circles.The algorithm adopted analytic calculation and was applied on the multiple cutting movements simulation of the spiral bevel gear.The programming languages were used to develop the algorithm and fit the tooth surface data points into NURBS surface of solid model.The cutting simulation results showed good precision and better efficiency compared with those in CAD/CAM software.