根据独立连续拓扑变量概念 ,建立了桁架和平面膜结构拓扑优化的有无复合体模型 ,从而不引入过滤函数实现拓扑变量在连续型和离散型之间的转换 .推导了有无复合体杆单元的面积与膜单元的厚度同重量、单元刚度阵都是“有单元”和“无单元”相应量的线性组合 ,进而把这一线性关系延拓到许用应力 .借助于有无复合体建立了在应力约束下骨架和连续体结构拓扑优化的统一模型 ,同时提出了求解这一模型的有效算法 ,获得了令人满意的计算结果 . According to the concept of independent continuous topological variables, the topology optimization of the truss and planar membrane structure is established with or without complex model so as to transform the topological variables between continuous type and discrete type without introducing filter function. The area and the thickness of the membrane element are the same, the element stiffness matrix is ​​a linear combination of the corresponding quantities of “unit” and “unitless”, and then extend the linear relationship to permissible stress. Under the constraint of stress, a unified model of topological optimization of skeleton and continuum structure is proposed. At the same time, an effective algorithm for solving this model is proposed and a satisfactory calculation result is obtained.