研究单层网壳结构的局部加肋拓扑优化对提升其经济性与整体稳定性有重要意义。针对单层网壳结构，以结构用钢量为评价指标，基于渐进结构优化算法，提出局部加肋拓扑优化方法。根据结构中杆件的内力分布计算应变能，结合单层网壳结构的特点建立网格加强评价准则，在迭代运算中增加锥体加强应变能过大的网格，删除应变能过小的新增锥体，比较优化前后网壳结构的用钢量与整体稳定性，验证结构优化方法的可行性。经拓扑优化得到新的局部加肋单层网壳结构，相较于初始结构，优化后的结构用钢量减小，并且整体稳定性提高，成果可为单层网壳结构的局部加肋设计优化提供技术参考。

This study investigates the topological optimization of locally reinforcing single-layer reticulated shell structures to enhance their economy and overall stability. Using the amount of structural steel as the evaluation index, a topological optimization method based on the progressive structural optimization algorithm is proposed for single-layer reticulated shell structures. The strain energy is calculated based on the internal force distribution of the structural members, and a grid strength evaluation criterion is established in combination with the characteristics of single-layer reticulated shell structures. In the iterative calculation, cones are added to strengthen the grid with excessive strain energy, and new cones with insufficient strain energy are deleted. The amount of steel used and the overall stability of the reticulated shell structure before and after optimization are compared to verify the feasibility of the structural optimization method. After topological optimization, the locally reinforced single-layer reticulated shell structure exhibits a reduced amount of steel used and improved overall stability compared to the initial structure. The results can provide technical references for optimizing the local reinforcement design of single-layer reticulated shell structures, and also provide reference for similar structural optimization problems.