基于不规则元胞的主轴温度－结构场耦合热拓扑优化设计方法

为了适应复杂的几何形状，避免传统的规则矩形元胞不能均匀地覆盖设计区域的问题，实现主轴结构耦合场热拓扑优化设计，提出基于不规则元胞的混合元胞自动机法（HCAM）耦合场主轴热拓扑优化设计方法. 该方法以数值传热学的相关理论为基础，用三角形元胞来替代传统的矩形元胞，并引入局部网格细化的思想，在应力集中或应变急剧变化的区域实现局部元胞细化，使得整个结构的元胞尺寸自适应变化. 通过案例对比分析验证了该方法的可行性，该方法可以有效地适应复杂结构形状、减少元胞单元和有限元网格的数量以及降低元胞单元与有限元网格之间映射的难度. 利用不规则元胞的HCAM对主轴结构进行不同工况下的温度－结构场耦合热拓扑优化设计研究，最终获得的热拓扑优化构形结果不仅减少了主轴结构材料，而且改善了其热态特性.

Thermal topology optimization design method of spindle under temperature-structure field coupling condition based on irregular cell

A hybrid cellular automaton method (HCAM) applied with irregular cell was proposed to realize the thermal topological optimization design for the coupled field of spindle structure in order to adapt to the complex geometrical shape and avoid the problem which the traditional regular rectangular cells could not uniformly cover the design area. The traditional rectangular cell of HCAM was replaced by irregular cell based on the theory of numerical heat transfer. The idea of local mesh refinement was introduced to realize local cell refinement in the area where the stress could be concentrated or strain sharp changed, and the cell size of the whole structure could adaptively change. The comparison analysis results show that the method is feasible. The method can effectively adapt to the complex structure shape, reduce the number of cellular elements and finite element grids, and reduce the difficulty of mapping between cellular elements and finite element grids. The thermal topology optimization design of the temperature-structure field coupling spindle structure under different working conditions was analyzed by using the irregular cell HCAM. Results showed that the final thermal topology optimization results not only reduced the material of spindle, but also improved its thermal characteristics.