This paper introduces a shape optimization of wire strands subjected to tensile loads. The structural analysis relies on a recently developed reduced helical finite element model characterized by an extreme computational efficacy while accounting for complex geometries of the wires. The model is extended to consider interactions between components and its applicability is demonstrated by comparison with analytical and finite element models. The reduced model is exploited in a design optimization identifying the optimal shape of a 1 + 6 strand by means of a genetic algorithm. A novel geometrical parametrization is applied and different objectives, such as stress concentration and area minimization, and constraints, corresponding to operational limitations and requirements, are analyzed. The optimal shape is finally identified and its performance improvements are compared and discussed against the reference strand. Operational benefits include lower stress concentration and higher load at plastification initiation.

中文翻译：

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使用简化的螺旋模型优化承受纯拉伸载荷的线束的截面形状

本文介绍了承受拉力的线束的形状优化。结构分析依赖于最近开发的简化螺旋有限元模型，其特征是具有极高的计算效率，同时考虑了导线的复杂几何形状。该模型被扩展为考虑部件之间的相互作用，并且通过与分析模型和有限元模型的比较证明了其适用性。在设计优化中利用简化的模型，通过遗传算法确定1 + 6链的最佳形状。应用了新颖的几何参数化，并分析了不同的目标，例如应力集中和面积最小化，以及与操作限制和要求相对应的约束。最终确定出最佳形状，并与参考链比较并讨论其性能改进。操作上的好处包括降低应力集中和在塑化开始时增加负荷。