Abstract: In forming grinding of lead modification helical gears,the machining principle error of tooth surface was existed.To improve the grinding accuracy,the principle error model was established based on the analysis of mechanism of tooth surface principle error,and the error reduction method was put forward.The calculation model of contact line was built through point-vector group digital envelope method,and the simulation tooth surface was obtained by combining with contact lines acquired form wheel grinding track.The simulation tooth surface error was evaluated from simulation examples.The principle error mechanism from three aspects of contact line morphology,X and C axis additional movements was analyzed,the calculation model of principle error was established,and the correctness of error calculation model was verified by comparing with simulation results.To reduce the tooth surface principle error,a joint optimization method of grinding wheel setting angle and grinding wheel profile was proposed.The effectiveness of proposed error reduction method was verified by a simulation case of forming grinding the lead modification helical gear.

Key words: lead modification, form grinding, principle error, modeling, simulation

摘要： 齿向修形斜齿轮的成形磨削存在齿面原理性加工误差,为提高磨削精度,在分析齿面原理性误差产生机理的基础上,建立齿面误差模型,并提出误差控制方法。采用点矢量族数字包络方法建立了齿向修形斜齿轮的接触线计算模型,并组合砂轮磨削轨迹上的接触线得到仿真齿面,进而通过齿面仿真实例对齿面误差进行评定。从接触线形态及X轴、C轴附加运动3个方面对修形齿面原理性误差产生机理进行分析,建立齿面误差计算模型,并与仿真实例结果进行对比验证了误差计算模型的正确性。为了控制齿面误差,提出砂轮安装角及砂轮廓形的联合优化方法。通过齿向修形齿面磨削仿真实例,验证了所提误差控制方法的有效性。

关键词: 齿向修形, 成形磨削, 原理性误差, 建模, 仿真