木材横断面六棱规则细胞数学描述理论研究

Research on Ｍathematical Model of Wood Horizontal Section Hexagon Standard Cell

本文采用微观力学和细胞学理论，在横观各向同性的假设下，提出了一种木材规则细胞主方向截面形状描述的理论方法．应用本文提出的理论，可以根据纤维、木质素、红胞直径和排列的程度，绘出理想状态下木材的主方向规则细胞结构形状，为木材学运用数学手段深入到细胞结构研究的深度提供了一种新的数学方法，并且可以为定量解释木材规则细胞变异后材性与性能提高的原因提供定量解释的数学手段．

Using the microscopic dynamic theory and hexagon standard cell theory, under the hypothesis of cross direction isotropy, the author put forward a theoretical solution method, which describe the section main direction shape of Wood hexagon standard cell. According to the hexagon standard cellulose, lignin, hexagon standard cell diameter and the arrange degree, the main direction shape of hexagon standard cell structure in ideal state can be drawn. So it provides a new mathematical method for the research of lumber go deep into hexagon standard cell research, and it can quantitatively explicate the reason of material quality and performance improvement after variation of hexagon standard cell.