中文摘要：

为改善面齿轮副啮合性能,采用变位插齿刀对面齿轮进行变位,建立了包含齿根过渡曲面在内的变位面齿轮全齿面理论三维几何模型,进行了承载接触分析（LTCA）和应力场分析,并以齿根弯曲应力、齿面接触应力为两个优化目标,采用带精英策略的快速非支配排序遗传算法（NSGA-Ⅱ）优化了变位系数.结果表明：面齿轮副变位对承载传动误差、齿间载荷分配、齿面载荷分布有一定影响,但承载传动误差波动幅值对变位系数并不敏感;负变位可增加重合度,并减小大轮齿根弯曲应力峰值,但齿面接触应力、小轮齿根弯曲应力峰值增大;正变位可减小齿面接触应力、小轮齿根弯曲应力峰值,但大轮齿根弯曲应力峰值增大;优化后的变位系数既提高了齿面接触强度,又使大、小轮弯曲强度趋于接近,有利于提高面齿轮副的承载能力.

英文摘要：

To improve meshing performance of face gear pair,the modified face gear was generated by a modified gear shaper cutter.The tooth surface equation and fillet equation of the modified face gear were deduced,and 3D model of modified face gear was obtained,thus establishing the computational models for loaded tooth contact analysis（LTCA）and stresses field analysis of the modified face gear pair.Taking tooth surface contact stresses and bending stresses as two optimized objectives,a multiobjective optimization model was established.Design variables included modification coefficient,and a fast elitist non-dominated sorting genetic algorithm-Ⅱ（NSGA-Ⅱ）was selected as the multi-objective optimization algorithm.The results show that the modification of face gear pairs can affect loaded transmission errors,gear transverse load distribution factors and magnitude of load on the flank of tooth,but the wave amplitude of loaded transmission errors is not sensitive to modification coefficient.Negative addendum modification can increase contact ratio and reduce the bending stresses peak of the modified face gear,increasing the tooth surface contact stresses peak and the bending stresses peak of the modified pinion,whereas positive addendum modification can reduce the tooth surface contact stresses peak and the bending stresses peak of the modified pinion,increasing the bending stresses peak of the modified face gear.The optimized modification coefficient can not only improve the tooth surface contact strength,and can keep both gears′bending strength the same,then,the bearing capacity of the face gear pair is improved.