Abstract The conventional Cellular Automata (CA) approach has the disadvantage of being particularly suited for design optimization of uniform truss ground structures with identical cells. Moreover, the conventional CA algorithms, which are intrinsically local, have to be modified in order to be able to tackle problems involving displacement constraints. This paper presents a new non-uniform Cellular Automata algorithm, which is based on non-identical cells and a modified FSD/FUD approach. The new algorithm can solve the minimum weight optimization problem of truss structures including both stress and displacement constraints. The efficiency and accuracy of the proposed methodology are proved on a number of benchmark truss design problems.

中文翻译：

---

用于受应力和位移约束的桁架结构的拓扑和尺寸优化的非均匀元胞自动机框架

摘要 传统的元胞自动机 (CA) 方法的缺点是特别适合于具有相同元胞的均匀桁架地面结构的设计优化。此外，传统的 CA 算法本质上是局部的，必须进行修改才能解决涉及位移约束的问题。本文提出了一种新的非均匀元胞自动机算法，该算法基于非相同元胞和改进的 FSD/FUD 方法。新算法可以解决包括应力和位移约束的桁架结构的最小权重优化问题。在许多基准桁架设计问题上证明了所提出方法的效率和准确性。