植物叶片中轴图式与力学自适应性的关系(Ⅰ)——试验研究和数值模拟

Relationship Between Medial Axis Pattern of Plant Leaf and Mechanics Self-Adaptability(Ⅰ):Experimental Investigation and Numerical Simulation

中轴图式是植物叶片的一个普遍几何特征,也是叶片承担自重和环境应力的主要结构单元.为探讨植物叶片拓扑结构对叶片的力学增强机理,采集双子叶植物的坐标数据制作了铜叶脉,通过在不同受力点施加不同量值的载荷,对叶脉的变形进行了试验研究和数值模拟.结果表明:叶脉的变形量符合叠加原理;数值模拟得到的变形趋势和变形量与试验结果趋于一致,证明所采用的试验方法是正确的.

The medial axis pattern is not only the original geometric characteristic of plant leaf but also the major structural element that enables the plant leaf to stand the self-weight and the environmental stress. In order to reveal the theory of mechanics reinforcement of the plant leaf by the topological form, some copper veins were fabricated according to the data from the coordinates of dicotyledon. The deformations of the vein loaded with different forces at different points were then experimentally investigated and numerically simulated. The results indicate that the deformations of the vein follow the superposition principle, and that the simulated deformation and deformation tendency accord with the experimental ones, thus verifying the correctness of the test method adopted in this paper.