This article presents a multi-component topology optimization method for thin-walled structures, which can be applied to two-dimensional plate components and three-dimensional tube components. Based on the theory of multi-component topology optimization for stamped sheet metal assemblies, an accurate calculation method for the Young’s modulus of joint elements is provided. To avoid the discontinuous derivative and improve the optimization efficiency, a non-zero gradient-based material interpolation scheme with penalization is constructed. The cost of die-set materials can be controlled effectively by the maximum size of components. Several topology designs based on minimized compliance confirm the effectiveness of the proposed method. The topology solutions illustrate that the proposed method can realize the structural design of thin-walled structures which can meet the die-set material cost requirement.

本文提出了一种薄壁结构多构件拓扑优化方法，可应用于二维板构件和三维管构件。基于冲压钣金总成多组件拓扑优化理论，提供了一种精确计算接头单元杨氏模量的方法。为了避免不连续导数，提高优化效率，构造了一种基于非零梯度的带惩罚的材料插值方案。通过组件的最大尺寸可以有效控制模具材料的成本。基于最小化合规性的几种拓扑设计证实了所提出方法的有效性。