某船用齿轮结构拓扑优化设计

Topology optimization in marine gear optimal design

为提高某船用齿轮结构材料利用率实现其轻量化设计,将拓扑优化技术应用于齿轮结构优化设计。将齿轮截面作为研究对象,将其简化为一平面有限元问题。以齿轮单元密度作为设计变量,最大化齿轮结构刚度为目标函数,轮辐部分优化前后体积比作为约束,对其进行拓扑优化。研究不同轮辐数量、不同体积比情况下齿轮的结构传力路径。结果表明：轮辐部分体积比在0.4~0.6范围时,结构具有较好的刚度,并且加工工艺性优良。本文对于齿轮轮辐部分的拓扑优化结果为实际工程设计提供了指导。

In order to improve the utilization of marine gear structural materials to achieve its lightweight design,the topology optimization technology was applied to the gear structural optimization design. The gear section is simplified as 2-D finite element problems. Considering the element density as design variables,volume as constraint function,and maximize the structural stiffness as objective function of the topology optimization. The force transmission path is optimized under different spokes number and volume ratio. The results showed that： when the volume ratio of the spoke between the ranges 0. 4 ~ 0. 6, the gear will achieve good structural rigidity, and great convenience in manufacturing. In this paper,the topology optimization of gear spoke will provide guidance for the practical engineering design problems.