Tensegrity systems are construction system that offers solutions for lighter designs compared with a standard truss system consisting of tension and compression elements. Due to their structure, they are recommended in the design of space structures due to the use of lighter and easy-to-assemble structural elements such as cables, ropes, and similar to provide the desired durability. In this study, energy minimization was carried out to solve the structural element displacements. It is expected to reduce the total potential energy of the system with minimization. By minimizing the total potential energy of the tensegrity system models, the displacement of each building element is found for the equilibrium condition. Tensegrity models were analyzed by minimizing energy via the adaptive harmony search (AHS) algorithm. In this research, two distinct tensegrity structure specimens were employed. One comprised a cantilever beam, while the other adopted a cyclic model, forming eight equal octagons from eight nodes at both the base and the top. Additionally, an examination was conducted on a two-layer iteration of the cyclic model. The method is robust for both space and planar tensegrity structures, allowing the determination of deformed shapes under various loads without design assumptions. The TPO/MA method demonstrates superiority in handling nonlinear and barely stable systems, as evidenced by examples illustrating its efficacy in maintaining structural form under increasing loads and challenging conditions.

中文翻译：

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一种基于元启发式的张拉整体结构分析方法

张拉整体系统是一种建筑系统，与由拉伸和压缩元件组成的标准桁架系统相比，它为更轻的设计提供了解决方案。由于其结构，它们被推荐用于空间结构的设计，因为它们使用更轻且易于组装的结构元件（例如电缆、绳索等）来提供所需的耐用性。在本研究中，采用能量最小化来解决结构元件位移。期望以最小化的方式降低系统的总势能。通过最小化张拉整体系统模型的总势能，可以找到平衡条件下每个建筑构件的位移。通过自适应和谐搜索 (AHS) 算法最小化能量来分析张拉整体模型。在这项研究中，采用了两种不同的张拉整体结构样本。一个由悬臂梁组成，而另一个则采用循环模型，由底部和顶部的八个节点形成八个相等的八边形。此外，还对循环模型的两层迭代进行了检查。该方法对于空间和平面张拉整体结构都具有鲁棒性，无需设计假设即可确定各种载荷下的变形形状。 TPO/MA 方法在处理非线性和不稳定系统方面表现出优越性，示例证明了该方法在不断增加的载荷和挑战性条件下保持结构形式的有效性。