This paper proposes a general semi-supervised form-finding approach for optimization of shells, where an initial geometry referred to as the “Directive Form (DF)” influences and directs the shape optimization process. The degree of the influence of the DF over the optimization process is controlled by the optimizer algorithm. A normal option involves stronger influence of DF within the early stages of the optimization process and a vanishing effect towards the later stages of the process. The method is illustrated through an example using the artificial intelligence for the optimization process. The selected problem is optimized with particle swarm optimization algorithm in MATLAB. The required structural analysis of the optimization steps is carried out by the finite element software SAP2000 which is linked up with the optimization algorithm via the application programming interface software. The coordinates of the nodes over the surface of the shell are selected as the optimization variables, and the semi-supervised algorithm finds the desired optimal form by minimizing the eccentricity of the forces as the target function. Finally, the paper presents a simple and workable stress calculation method for the optimized shells under gravitational loads.

中文翻译：

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半监督元启发式外壳找形方法

本文提出了一种用于优化壳的通用半监督找形方法，其中称为“指令形式 (DF)”的初始几何形状影响并指导形状优化过程。DF 对优化过程的影响程度由优化器算法控制。正常选项包括在优化过程的早期阶段 DF 的更强影响和对过程后期阶段的消失效应。通过使用人工智能进行优化过程的示例来说明该方法。所选问题在MATLAB中使用粒子群优化算法进行优化。优化步骤所需的结构分析由有限元软件 SAP2000 执行，该软件通过应用编程接口软件与优化算法相连。选择壳表面上节点的坐标作为优化变量，半监督算法通过最小化力的偏心率作为目标函数找到所需的最优形式。最后，本文提出了一种简单可行的重力载荷作用下优化壳的应力计算方法。半监督算法通过将力的偏心率最小化为目标函数来找到所需的最佳形式。最后，本文提出了一种简单可行的重力载荷作用下优化壳的应力计算方法。半监督算法通过将力的偏心率最小化为目标函数来找到所需的最佳形式。最后，本文提出了一种简单可行的重力载荷作用下优化壳的应力计算方法。