Dzwierzynska Jolanta, Labuda Igor
Department of Architectural Design and Engineering Graphics, Faculty of Civil and Environmental Engineering and Architecture, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland.
Materials (Basel). 2021 Nov 12;14(22):6826. doi: 10.3390/ma14226826.
The article deals with shaping effective curvilinear steel rod roof structures using genetic algorithms by implementing them for the analysis of various case studies in order to find new and efficient structures with positive characteristics. The structures considered in this article are created on the basis of the Enneper surface and minimal surfaces stretched on four arcs. On the Enneper surface, a single layer grid is used, while on the other surfaces, two-layer ones. The Enneper form structure with four supports and the division into an even number of parts along the perimeter of the covered place proved to be the most efficient, and the research showed that small modifications of the initial base surface in order to adapt the structure to the roof function did not significantly affect its effectiveness. However, the analysis and comparison of single and double-shell rod structures based on minimal surfaces stretched on four arcs have shown that a single-shell structure is much more effective than a double one. The paper considers the theoretical aspects of shaping effective structures, taking their masses as the optimization criterion. The optimization helped to choose the best solutions due to structures' shapes and topologies. However, the obtained, optimized results can find practical applications after conducting physical tests.
本文通过运用遗传算法对各种案例进行分析，来研究如何塑造有效的曲线钢杆屋顶结构，以便找到具有良好特性的新型高效结构。本文所考虑的结构是基于恩纳佩尔曲面和在四条弧上拉伸的极小曲面创建的。在恩纳佩尔曲面上使用单层网格，而在其他曲面上使用双层网格。具有四个支撑且沿覆盖区域周边划分为偶数部分的恩纳佩尔形式结构被证明是最有效的，研究表明，为使结构适应屋顶功能而对初始基面进行的微小修改并不会显著影响其有效性。然而，基于在四条弧上拉伸的极小曲面的单壳和双壳杆结构的分析与比较表明，单壳结构比双壳结构有效得多。本文以结构质量作为优化标准，考虑了塑造有效结构的理论方面。由于结构的形状和拓扑结构，优化有助于选择最佳解决方案。然而，在进行物理测试后，所获得的优化结果才能找到实际应用。
