With the rapid developments of modern fabrication techniques, architected structures are increasingly used in many application areas, e.g., lightweight structures, heat exchangers, energy absorption components, aircraft engines, etc. To systematically design optimized architected structures with favorable manufacturability in terms of exact sizes and good connectivity, in the present work, an enhanced multidomain topology optimization method is developed. The design domain is divided into several subdomains and boundary layers between them first. Periodic base cells with exact sizes are distributed in each subdomain, and analyzed and optimized approximately based on the homogenization method with coarse meshes to reduce the numerical efforts. Besides, gradient boundary layers discretized by fine meshes are optimized between subdomains and boundaries to connect adjacent base cells with different patterns and address the boundary effect. Quadtree technology is used to match the meshes of different sizes. Numerical examples verify both the effectiveness and efficiency of the proposed approach for designing manufacturable optimized architected structures.

随着现代制造技术的飞速发展，建筑结构越来越广泛地应用于许多应用领域，例如轻型结构，热交换器，能量吸收部件，飞机发动机等。为了精确地系统设计优化的建筑结构，在精确尺寸方面具有良好的可制造性在良好的连通性的基础上，本文提出了一种增强的多域拓扑优化方法。设计域首先划分为几个子域，并在它们之间形成边界层。具有精确大小的周期性基本单元分布在每个子域中，并基于粗糙网格的均质化方法进行近似分析和优化，以减少数值工作。除了，通过细网格离散的梯度边界层在子域和边界之间进行优化，以连接具有不同图案的相邻基本单元并解决边界效应。四叉树技术用于匹配不同大小的网格。数值算例验证了所提出的设计可制造的优化结构的方法的有效性和效率。