【摘要】 针对齿向修形内斜齿轮在成形磨削加工过程中因机床误差导致的齿面加工精度下降问题，提出一种齿面偏差修正方法。构建内斜齿轮加工运动模型，建立内斜齿轮齿廓修形坐标方程，并基于空间啮合理论建立空间接触线和成形磨削砂轮条件方程，求解出齿廓修形后成形砂轮轴截面廓形。进一步地，根据机床结构，建立成形砂轮磨削加工内斜齿轮数学模型，推导出含机床误差的内斜齿轮齿面方程，定量分析机床位置误差对齿面偏差的影响规律。根据建立的修形内斜齿轮成形磨削加工误差数学模型，得到机床位置误差与齿面偏差间耦合关系，编制成形磨削齿面偏差修正软件。在数控成形磨齿机上磨削加工内斜齿轮，并在Gleason齿轮检测中心进行对比测试。结果表明，误差补偿后的齿面精度由7级提升至6级，验证了所提修正方法的正确性和可行性。更多还原

【Abstract】 Aiming at the problem of decreased tooth surface processing accuracy of toothed modified internal helical gears caused by machine tool errors during the form grinding process, a tooth surface deviation correction method was proposed.The motion model for the processing of internal helical gears was constructed, the coordinate equation for the tooth profile modification of internal helical gears was established, and based on the spatial meshing theory, the spatial contact line and the condition equation of the forming grinding wheel were established.The cross-sectional profile of the formed grinding wheel shaft after tooth profile modification was solved.Furthermore, based on the structure of the machine tool, a mathematical model for grinding internal helical gears with a formed grinding wheel was established, and the tooth surface equation of the internal helical gear with machine tool errors was derived.The influence law of the machine tool position error on the tooth surface deviation was quantitatively analyzed.Based on the established mathematical model of the processing error in the forming grinding of modified internal helical gears, the coupling relationship between the machine tool position error and the tooth surface deviation was obtained.The software for correcting the tooth surface deviation in forming grinding was developed.Internal helical gears were machined on a CNC forming gear grinding machine.A comparative test was conducted at the Gleason gear inspection center.The results show that the tooth surface accuracy after error compensation is improved from the grade 7 to grade 6,verifying the correctness and feasibility of the proposed correction method.更多还原