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Computational Design of Lightweight Trusses
Computer-Aided Design ( IF 4.3 ) Pub Date : 2021-07-08 , DOI: 10.1016/j.cad.2021.103076
Caigui Jiang 1, 2, 3 , Chengcheng Tang 4 , Hans-Peter Seidel 3 , Renjie Chen 5 , Peter Wonka 2
Affiliation  

Trusses are load-carrying light-weight structures consisting of bars connected at joints ubiquitously applied in a variety of engineering scenarios. Designing optimal trusses that satisfy functional specifications with a minimal amount of material has interested both theoreticians and practitioners for more than a century. In this paper, we introduce two main ideas to improve upon the state of the art. First, we formulate an alternating linear programming problem for geometry optimization. Second, we introduce two sets of complementary topological operations, including a novel subdivision scheme for global topology refinement inspired by Michell’s famed theoretical study. Based on these two ideas, we build an efficient computational framework for the design of lightweight trusses. We show that our method achieves trusses with smaller volumes and is faster compared with recent state-of-the-art approaches.



中文翻译:

轻型桁架的计算设计

桁架是由在节点处连接的杆组成的承载轻量级结构,广泛应用于各种工程场景。一个多世纪以来,用最少的材料设计满足功能规范的最佳桁架一直是理论家和实践者的兴趣所在。在本文中,我们介绍了两个主要思想来改进现有技术。首先,我们为几何优化制定了一个交替线性规划问题。其次,我们介绍了两组互补的拓扑操作,包括一种受 Michell 著名理论研究启发的用于全局拓扑细化的新细分方案。基于这两个思想,我们构建了一个高效的轻量桁架设计计算框架。

更新日期:2021-08-03
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