TREE STRUCTURES - DEDUCING PRINCIPLE OF MECHANICAL DESIGN
TREE STRUCTURES - DEDUCING PRINCIPLE OF MECHANICAL DESIGN
复制标题
DOI：
10.1016/0022-5193(76)90182-x
复制
发表时间：
1976-01-01
影响因子：
2
通讯作者：
KRONAUER, RE
中科院分区：
文献类型：
--
作者：
MCMAHON, TA;KRONAUER, RE
提出了一个统计描述的树木的分支模式的背景下，幂律锥形梁模型。根据描述梁的深度逐渐变细的指数，该模型保持几何、弹性或静态应力相似性。详细的研究3橡树，1白杨，1樱桃和1白松的形态计量学证实了这些分支结构的平稳性，并符合弹性相似模型。对4个树种的分支段和整株树的自振频率进行了单独研究。也同意弹性相似模型的预测。
A statistical description of the branching patterns of trees is proposed in the context of a power-law tapered beam model. Depending on the exponent which describes tapering of the depth of the beam, the model either preserves geometric, elastic, or static stress similarity. A detailed study of the morphometry of 3 oaks, 1 poplar, 1 cherry and 1 white pine corroborates the stationarity of these branching structures and fits the elastically similar model. A separate study of the natural frequencies of branch segments and whole trees within 4 spp. also agrees with the predictions of the elastically similar model.