植物叶片中轴图式与力学自适应性的关系(Ⅱ)——不同向量角的叶脉结构和叶片拓扑图  

Relationship Between Medial Axis Pattern of Plant Leaf and Mechanics Self-Adaptability(Ⅱ): Vein Structures with Different Vector Angles and Topological Pattern of Plant Leaf

作　　者：刘旺玉[1] 龚佳兴[1] 侯文峰[1] 

机构地区：[1]华南理工大学机械与汽车工程学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2009年第8期12-16,23,共6页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50675067);广东省自然科学基金资助项目(05006496)

摘　　要：为了探讨植物叶片的叶脉结构是否与其维持内部的总应变能最小有关,建立了6种具有不同侧脉向量角的叶脉网络模型,并对其进行了数值模拟.分析表明,与其它模型相比,按原始叶片建立的模型具有良好的机械性能,且始终能维持较小的内部应变能.此外,由单载荷场与多载荷场下的植物叶片拓扑图可知:应力是叶脉生长的诱导因素之一;除了实现自身的生理功能之外,为适应复杂环境应力的变化,叶脉网络已经演化成了一种稳定的具有自适应性的中轴图式结构.In order to explore the relationship between the vein structure and the minimum total strain energy that the plant leaf tries to maintain during the growth, six models of leaf vein structures with different lateral-vein vector angles are established and numerically analyzed. The results indicate that the model established according to the original leaf sample exhibits better mechanical properties, as compared with other models, and that it helps to＋ keep the internal strain energy at a small value. Furthermore, it is found from the topological patterns of the leaf in single- load and multi-load fields that stress is one of the inducing factors for vein growth, and that the vein network of the plant leaf not only possesses the physiological functions but also adapts to the complex environmental stress by evolving itself into a steady self-adaptive structure with medial axis pattern.

关 键 词：中轴图式 植物叶片 力学性能 拓扑图 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]