论文标题
空心正方形棱镜的横截面性能
Cross-sectional performance of hollow square prisms with rounded edges
论文作者
论文摘要
空心截面是具有高屈曲耐性和较高弯曲刚度的机械上优质结构之一。柱的机械性能受横截面形状的强烈影响。因此，在评估柱针对外力的稳定性时，有必要准确地重现横截面形状。在这项研究中，我们提出了一种数学方法来描述具有圆形边缘和顶点的多边形部分。该数学模型对于分析植物的机械性能和设计模仿植物的功能结构非常有用，因为实际植物轴和茎的横截面通常显示出圆形的多边形。
Hollow-section columns are one of the mechanically superior structures with high buckling resistance and high bending stiffness. The mechanical properties of the column are strongly influenced by the cross-sectional shape. Therefore, when evaluating the stability of a column against external forces, it is necessary to accurately reproduce the cross-sectional shape. In this study, we propose a mathematical method to describe a polygonal section with rounded edges and vertices. This mathematical model would be quite useful for analyzing the mechanical properties of plants and designing plant-mimicking functional structures, since the cross-sections of the actual plant culms and stems often show rounded polygons.
