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以期望的传动误差曲线为目标,首次提出了弧齿锥齿轮传动误差曲线优化的泛变性(GMR)方法,它是对局部综合法的一种改进。首先讨论了齿面接触印痕和传动误差曲线的计算方法,并在传统局部综合法基础上提出了泛变性局部综合法,给出了该方法的理论基础即局部综合公式和齿面接触方程,接着分析了对弧齿锥齿轮传动性能尤其是传动误差影响最大的两个加工参数即小轮切削速比和三阶变性系数的变化规律,最后对某具体航空弧齿锥齿轮副的传动误差曲线和齿面接触印痕进行了泛变性优化设计。结果表明:当小轮切削速比取0.621 9且三阶变性系数取-0.021 99时,轮齿接触分析(TCA)实际传动误差曲线比较对称且与期望曲线较好地吻合,而齿面接触印痕几乎没有变化,由此证明泛变性法对传动性能控制的有效性和稳定性。该研究工作对于航空齿轮传动系统具有重要的实际意义。
For the first time, aiming at the expected transmission error curve, the GMR method for spiral bevel gear transmission error curve is proposed for the first time. It is an improvement of the local synthesis method. Firstly, the calculation method of tooth surface contact imprint and transmission error curve is discussed. Based on the traditional local synthesis method, a generalized method of local generalization is proposed. The theoretical basis of the method is given, ie the local synthesis formula and the contact equation of tooth surface. The change law of the cutting speed ratio and the third-order degeneration coefficient of the small-cogwheel, which are the most influential factors on the transmission performance of the spiral bevel gear, especially the transmission error, is analyzed. Finally, Tooth surface contact impressions were optimized by design. The results show that the actual transmission error curve of gear contact analysis (TCA) is symmetrical and coincides well with the expected curve when the rotation speed of the small wheel is 0.621 9 and the third-order degeneration coefficient is -0.021 99. The tooth surface contact impression Almost no change, thus demonstrating the effectiveness and stability of the control method of transmission performance. The research work for the aviation gear drive system has important practical significance.