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针对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仿真方法。重点解决了滚刀刀齿空间运动轨迹精确建模问题,提出了基于时间驱动的滚齿加工运动矢量建模方法,获得了刀齿运动轨迹点位置矢量与速度矢量;指定速度矢量为一阶导矢、位置矢量为节点坐标进行样条曲线插值,得到刀齿运动轨迹曲线。分析轨迹曲线在不同数量插值轨迹点下的插值精度,优选出最佳插值轨迹点数量。将插值轨迹曲线应用于所开发的滚齿加工仿真系统,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合理性与准确性。
Aiming at the problem of simulation accuracy caused by the simplification of the model, a gear hobbing simulation method based on solid modeling is proposed. This paper focuses on solving the problem of accurate modeling of the hobbing trajectory of the hobbing cutter. A time-driven method of hobbing motion vector modeling is proposed, and the position vector and velocity vector of the trajectory of the cutter tooth are obtained. Vector, position vector Spline interpolation for node coordinates, to get the tooth movement curve. The interpolation accuracy of trajectory curves under different numbers of interpolation trajectory points is analyzed, and the optimal number of interpolation trajectory points is optimized. The interpolation trajectory curve is applied to the developed hobbing simulation system. The simulated tooth profile on the gear surface is compared with the theoretical involute tooth profile, which proves the rationality and accuracy of the proposed method.