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首页> 外文期刊>Nexus Network Journal >On the Modelling of Vaulted Structures of Equal Strength
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On the Modelling of Vaulted Structures of Equal Strength

机译：关于相等强度拱形结构的建模

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摘要

The optimization of vaulted structures has primarily concentrated on the determination of the structure midsurface, governing the direction of forces flow, and the thickness variation, affecting the corresponding stress developed in a structure. The problems related to such optimizations are the so-called catenary of equal strength and its later three-dimensional equivalent, the membrane of equal strength. The present paper elaborates on the equilibrium analysis and analytical expressions that describe the resulting shapes and provides the visualization of the corresponding solutions as particular forms of vaulted structures of great span. Based on the analysis of the geometrical properties of midline and intrados curve, the study shows that there is only one shape of such a structure's midsurface, whereby material properties affect only its size, which has, however, a theoretical limit. In addition, using FEM, various arch and dome sizes and materials are considered, and the assumption about equal stress distribution within such structures is confirmed.
机译：拱形结构的优化主要集中在确定中浊面的测定，控制力量方向，以及影响结构中形成的相应应力。与此类优化相关的问题是所谓的相等强度的关联，其后来的三维等同物相等强度的膜。本文详细说明了描述所得形状的平衡分析和分析表达，并提供了与大跨度的拱形结构的特定形式的相应解决方案的可视化。基于对中线和涡旋曲线的几何特性的分析，研究表明，这种结构的仲面的形状仅存在一种形状，由此材料特性仅影响其尺寸，然而具有理论极限。另外，考虑使用FEM，各种拱和圆顶尺寸和材料，并且确认了这种结构内的等于应力分布的假设。

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