轮盘超椭圆异型螺栓孔均衡优化设计

摘要

基于降低航空发动机轮盘孔结构孔边应力和装配的双重考虑,提出了1种超椭圆曲线轮盘螺栓孔均衡优化设计方法.在降低孔边应力的基础上,引入了异型度概念以表示孔轮廓形状变化幅度,针对孔边应力降低和异型度减小2个互相制约的优化目标,构建了1个均衡优化模型;结合Pareto最优解理论,采用多目标进化算法对轮盘超椭圆异型孔进行寻优,得到了超椭圆异型螺栓孔轮廓的最优解.结果表明:设计得到的超椭圆螺栓孔结构可以在保证可靠传力的同时,使孔边应力降低19%.与其他异型孔方案相比,该模型设计参数少,模型简洁,均衡优化所获得的超椭圆异型孔的设计稳健性较好.%An equilibrium optimization design method of the hyper-elliptic curves bolt hole of disk was proposed based on double consideration of reducing the hole edge stress of pore structure for aeroengine disks and assembly requirements. The concept of shape-variation-degree was defined to depict the degree of changes for hole profile on the basis of reducing the hole edge stress.The equilibrium optimization model consist of two competitive objectives was built,in which hole edge stress reduction and low shape-variation-degree were considered.Combined with Pareto optimal solution theory,multi-objective evolutionary algorithm was used to optimize hyper-elliptic non-circular hole of disk, and the optimal solution of hyper-elliptic non-circular bolt hole profile was obtained. The results show that the designed hyper-elliptic bolt holes structure can reduce the stress on the hole edge by 19% while ensuring reliable force transmission. Compared with other non-circular hole program,the model is concise and with less design parameters.In addition,the robustness of the design for equilibrium optimization hyper-elliptic non-circular hole is better.