随着新一代航空发动机高推重比的设计要求，轻量化设计成为提升推重比的有效手段。针对小涵道比航空发动机进气机匣可调静子叶片轻量化设计需求，采用有限元仿真方法对其进行静强度与模态分析。基于仿真结果，通过变密度法SIMP模型对叶片结构进行拓扑优化，提出内部空心化设计、内部增加加强筋和肋板等结构改进方案，并将优化后方案与实心叶片结果进行对比。研究表明，所提出的改进方案均可使叶片质量降低、一阶固有频率提升，叶片质量下降量在38.1%以上，一阶固有频率提升量在22.5%以上，低阶固有频率的提升有利于使叶片避开低阶有害共振，但刚性减弱会导致叶片局部变形量增加，最大变形增量为19.2%。综合分析表明，空心叶片内部设置沿叶身高度方向加强筋的方案（方案E）能有效提升一阶固有频率、大幅降低叶片整体重量，且对整体气动性能影响较小，为最优改进方案。本文的研究成果可为发动机叶片轻量化设计提供重要的技术支持。

With the design requirements for high thrust-to-weight ratios in the next generation of aircraft engines, lightweight design has become an effective means to enhance this ratio. In response to the need for lightweight design of adjustable stator blades in the inlet casing of low bypass ratio aircraft engines, finite element simulation methods were employed to conduct static strength and modal analyses. Based on the simulation results, a topology optimization was performed on the blade structure using the Solid Isotropic Material with Penalization (SIMP) model, proposing structural improvement options such as internal hollowing, the addition of reinforcing ribs, and plates. The optimized designs were compared with the results of solid blades. The study indicates that the proposed improvement options can effectively reduce blade mass and increase the first natural frequency, with a mass reduction exceeding 38.1% and an increase in the first natural frequency exceeding 22.5%. Enhancing the lower natural frequency helps the blades avoid harmful low-frequency resonances, although the reduced rigidity may lead to increased local deformation, with a maximum deformation increment of 19.2%. Comprehensive analysis shows that the design option of incorporating reinforcing ribs along the blade height direction in hollow blades (Scheme E) can effectively enhance the first natural frequency and significantly reduce the overall weight of the blades, with minimal impact on overall aerodynamic performance, making it the optimal improvement scheme. The findings of this study provide important technical support for the lightweight design of engine blades.

山西省基础研究计划（青年科学研究项目202203021222129）