航发齿轮传动机匣在恶劣服役工况和复杂载荷条件下要求壳体具备轻量化特征,轴承孔错位量作为机匣的关键评价指标，如何保证错位量同时实现轻量化成为一大挑战。对此，基于SIMP插值惩罚模型提出了一种考虑机械-惯性载荷作用的航发齿轮传动壳体拓扑优化方法，将惯性过载对机匣附件所产生的影响加入优化模型，以壳体应力、危险轴承孔中心错位量和优化区域体积分数为约束条件，不同工况下的壳体加权柔顺度最小为目标，实现壳体减重7.1%的同时，von Mises应力、变形量和危险轴承孔中心错位量最大分别下降7.1%、3.1%和12.1%。

The gearbox case is required to be lightweight under harsh service conditions and complex loads. As an important evaluation index of the case, how to ensure the misalignment of the bearing hole and realize the lightweight has become a major challenge. To address this issue, a topology optimization method for aero-engine gear transmission case, considering the mechanical-inertial load effects, is proposed based on the SIMP interpolation penalty model. The influence of inertial loads on the case attachments is incorporated into the optimization model, with constraints on case stress, dangerous bearing bore misalignment, and optimized region volume fraction. The objective is to minimize the weighted compliance of the case under different conditions, achieving a 7.1% reduction in case weight while decreasing maximum von Mises stress, deformation, and dangerous bearing bore misalignment by 7.1%, 3.1% and 11.1%, respectively.

国家自然科学基金(52322504)、重庆市杰出青年科学基金(CSTB2023NSCQ-JQX0016)