Regular tetrahedral lattice coordinate system for an equivalent arrangement of Bio-mathematical models reflecting objects' shape
Regular tetrahedral lattice coordinate system for an equivalent arrangement of Bio-mathematical models reflecting objects' shape
复制标题
正四面体晶格坐标系，用于反映物体形状的生物数学模型的等效排列
DOI：
10.1002/ecj.12048
复制
发表时间：
2018
影响因子：
0.3
通讯作者：
Satoru HONMA,Hidetoshi WAKAMATSU
中科院分区：
文献类型：
--
作者：
武田 俊;熊谷 寛;根武谷 吾;Satoru HONMA,Hidetoshi WAKAMATSU
数学模拟是利用可视化的不可见的现象，如温度和/或应力的分布在一个有关的对象，通过使用适当的结构化节点上的每个网格点的正交坐标系。这里，在正四面体的顶点上设置具有相同有效半径的密排节点。因此，计算节点之间的相互作用的数学模拟可以在新提出的坐标系上适当地执行，该坐标系由具有六个基本晶格的正四面体的连续连接组成。然后，确定了正四面体格点坐标系用于描述与相邻节点相互作用的确定节点。
Mathematical simulation is utilized to visualize the invisible phenomena, such as distribution of temperature and/or stress in a concerning object, by using properly structuralized nodes on each grid point of the orthogonal coordinate system. Here, the close‐packed nodes with same effective radius are set on the vertex of regular tetrahedrons. Thus, the mathematical simulation calculating the interactions among nodes can be appropriately performed on the newly proposed coordinate system, which consists of continuous connection of regular tetrahedrons with six basic lattices. Then, the regular tetrahedron lattice coordinate system is well confirmed for the description of definite nodes having interaction with their neighboring ones.