显式拓扑优化的拉压杆模型自动提取方法

为了实现从显式拓扑优化到拉压杆模型的自然过渡，同时保持拓扑优化结构与拉压杆模型的拓扑一致性，以可移动变形组件拓扑优化为例，建立了显式拓扑优化拉压杆模型自动提取方法。该方法是计算机图形学和结构优化的结合，采用Voronoi骨架提取和形状优化，由骨架提取、框架提取和形状优化3部分构成。结果表明，该方法自动构建了受力合理且几何规则的拉压杆模型；Voronoi骨架提取从显式拓扑优化结构提取了光滑的中轴骨架；以类桁架指标为约束的形状优化实现了拉压杆模型从框架结构到桁架结构的质变。

Automatic extraction method of strut-and-tie models for explicit topology optimization

To achieve the natural transition from explicit topology optimization to strut-and-tie models, while maintaining the topology consistency between the two, an automatic extraction method of strut-and-tie models using explicit topology optimization was developed. The proposed method is demonstrated using topology optimization based on moving morphable components as an example. It combines computer graphics and structural optimization techniques, employing skeleton extraction based on Voronoi diagram and shape optimization. The method consists of three main steps: skeleton extraction, frame extraction and shape optimization. The results show that the method can automatically generate strut-and-tie models with reasonable force distribution and regular geometry. The skeleton extraction based on Voronoi diagram extracts smooth and medial skeleton from the optimized structure obtained through explicit topology optimization. Shape optimization constrained by truss-like index realizes the qualitative change of strut-and-tie models from a frame structure to a truss structure.