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自然环境因素(如风、雨随机性载荷)影响植物叶片叶脉的形成及分布。通过建立类心形、类椭圆形和正方形叶片模型,以最小柔度(弹性应变能)为优化目标,在自然环境随机性载荷激励下,对植物叶片叶脉分布进行拓扑优化设计,得出类心形及类椭圆形叶片模型叶脉呈树形分叉分布,正方形叶片模型叶脉呈“米”字形分布,说明叶脉分布呈最大限度覆盖叶片区域现象,与实际叶片叶脉分布一致。仿真对比研究表明:拓扑后带叶脉各模型固有频率分别提高了63.44%,47.02%,23.18%,叶片整体刚度及抗震性能有较大改善。
Natural environment factors (such as wind and rain random load) affect the formation and distribution of plant leaf veins. Through the establishment of heart-shaped, ellipsoid-like and square-shaped leaf-like models, the optimal design of the minimum flexibility (elastic strain energy) is used to optimize the leaf vein distribution of plant leaves under the random loading of natural environment. The leaves of the shape and the oval-like leaves showed a tree bifurcation distribution, and the leaves of the square leaves showed the shape of “m ”. This showed that the distribution of the leaf veins covered the leaf area to the maximum, which was consistent with the actual leaf veins. The simulation results show that the natural frequencies of each model with top veins are increased by 63.44%, 47.02% and 23.18% respectively, and the overall stiffness and seismic performance of the blade are greatly improved.