航空发动机涡轮盘工作时承受的离心载荷是一种典型设计相关载荷，这类问题的变密度结构拓扑优化需要解决低密度单元的材料附属效应和目标函数非单调等求解上的困难。基于变密度拓扑优化模型，运用指数型材料性能近似（EAMP）模型避免材料附属效应并提高收敛速度；构造了一种新的灰度抑制方法减小拓扑结构灰度；提出载荷敏度抑制算法求解设计相关载荷的拓扑优化问题。算例表明算法有效并且灰度单元少、收敛速度快。通过载荷敏度抑制系数讨论，从拓扑优化算法角度揭示了传统单辐板涡轮盘与近年广泛研究的双辐板涡轮盘结构之间的联系及演化规律。
The centrifugal load of aeroengine turbine disks is a typical design-dependent load. The difficulties in variable density topology optimization with design-dependent loads involve the material attachment effect of low density elements, the non-monotonicity behaviour of the objective function, and other difficulties. This study first uses the Exponential Approximation of Material Properties (EAMP) to avoid the material attachment effect and improve the convergence speed. A new gray suppression method is then proposed to reduce the gray scale of the topological structure, and a load sensitivity suppression algorithm presented to solve the topology optimization problem. Numerical examples show the effectiveness of the proposed algorithm, with small overall element gray units and fast convergence speed. In the topology optimization of the radial section of the turbine disk, discussion of the load sensitivity suppression coefficient reveals the evolution law and intrinsic links between the topological structure of single-web turbine disks and twin-web turbine disks.
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