高速内啮合人字齿轮多目标优化修形

为提高高速内啮合人字齿轮的啮合性能，提出一种考虑弹性轴支撑变形的齿面多目标优化设计方法.通过轮齿接触 分析和承载接触分析计算齿面接触线离散点载荷以及一个啮合周期的轮齿承载变形.应用基于混合弹流润滑模型的摩擦系 数回归方程确定离散点的局部摩擦系数，利用Blok闪温公式求得高速啮合传动的齿面闪温.以承载传动误差幅值最小、齿面 闪温最小、齿面载荷分布均匀为优化目标，采用遗传算法确定齿面最佳修形量.实例计算结果表明：在无误差角和有误差角两 种情况下，齿面修形后，承载传动误差幅值都大幅下降，啮入区和啮出区齿面闪温都明显降低；由于避免了边缘接触，齿面载 荷分布得到了有效改善.提出的优化设计方法结果可靠，是高速齿轮修形设计的有效手段.
To improve the meshing performance ol internal double helical gear with high speed，a multi-objective optimal design approach considering the influences of deformation of elastic shaft is proposed. The load distribution on tooth contact line and tooth deformation in a meshing period are got by the tooth contact analysis and loaded tooth contact analysis. The local friction coefficients of discrete points on tooth contact line are determined by the regression equation which is based on the mixed elastohydrodynamic lubrication model，and then the Blok’s basic equation is used to get the surface flash temperature with high speed. After that，applying the genetic optimization algorithm，the tooth modification values are determined to optimize the amplitude of loaded transmission error，flash temperature and load distribution. The calculation is illustrated by a numerical instance. The results show that with and without misalignment error， after the tooth modification， both ALTEs decline significantly， and the surface flash temperature obviously decreases at the coming into and out of contact zones. Meanwhile，the edge contact is avoided，and both the load distributions are improved. The calculation results of the proposed optimization design method are reliable，and the method presented is an effective means for tooth dressing of high speed gear drives.