创意平板折叠桌的数学原理及其应用

Mathematical principles and applications of the creative flat folding table

采用连续和离散的方式,建立了以直纹曲面方程的连续型变化模型和以几何知识切入的离散化动态模型,通过交线投影的方法,利用几何关系对开槽长度和桌脚边缘线进行数学描述,并对2种方法的结果进行了分析.

This paper adopts the continuous and discrete approach, and establishes the continuous change model of ruled surface equation and the discrete dynamic model with geometrical knowledge. Lengths of the socket slot and edges of table legs are used for describing quantitatively by the geometrical relationship through the method of the projection of intersection curve. Meanwhile, it analyzes the results of the two methods.