中文摘要：

为了更合理地设计套齿结构的配合关系,提高套齿结构配合精度,适应不对中运行工况,降低对加工误差的敏感度,研究了航空发动机套齿结构在倾角不对中的情况下的运动特点以及配合关系,并推导了含有倾角不对中的套齿结构齿侧间隙以及与之相关的套齿特征量的计算公式,对某型航空发动机的压气机轴径套齿结构进行了计算与分析。在此基础上,考虑到参数的随机性,应用果蝇优化算法对套齿结构齿侧间隙进行了稳健性优化设计。结果表明：计算公式中考虑倾角的影响能够有效地避免运动干涉和装配预应力,稳健性优化设计可以有效地避免由于倾角不对中、加工误差等参数随机因素导致齿侧间隙的设计值偏大。证明了所提出的计算和优化方法可以使套齿结构配合关系的设计更加合理,可为套齿结构设计、装配提供参考。

英文摘要：

In order to design the matching relationship of spline structure, improve the matching precision, adapt to the misalignment of the working conditions and reduce the sensitivity of the mismachining tolerance, the characteristics of spline structure of the aircraft engine casing in the dip angle and the matching relationship were studied. The calculation formula of the tooth flank clearance and the related characteristics of the spline structure were derived. On this basis, the optimal design of the algorithm for the optimization of the tooth flank clearance of the sleeve was designed. Results show that the calculation formula considered angle influence can effectively avoid the movement interference and assembly prestressing force, and robust design and optimization can effectively reduce tooth side gap due to the influence of random parameters such as angle misalignment and mismachining tolerance. It is proved that the calculation and optimization method can make the design more reasonable, which can provide reference for the design and assembly of spline structure.