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列奥纳多法则、自相似性和树木中风致应力。

Leonardo's rule, self-similarity, and wind-induced stresses in trees.

机构信息

Department of Mechanical and Aerospace Engineering, University of California San Diego, 9500 Gilman Drive, La Jolla California 92093-0411, USA.

出版信息

Phys Rev Lett. 2011 Dec 16;107(25):258101. doi: 10.1103/PhysRevLett.107.258101. Epub 2011 Dec 12.

Abstract

Examining botanical trees, Leonardo da Vinci noted that the total cross section of branches is conserved across branching nodes. In this Letter, it is proposed that this rule is a consequence of the tree skeleton having a self-similar structure and the branch diameters being adjusted to resist wind-induced loads.

摘要

研究植物树木时,列奥纳多·达·芬奇注意到,树枝的总横截面积在分支节点处保持守恒。在这封信件中,有人提出,该规则是树木骨架具有自相似结构的结果,并且分支直径被调整以抵抗风致荷载。

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