确定任意多边形区域截面核心的算法

The Algorithm to Determine the Section Core of Arbitrary Polygon Area

根据任意多边形区域边界线上的节点坐标 ,给出一种比较简单的截面边界的凸凹判别准则 ,由此可以将任意复杂的多边形区域自动划分为有限个三角形子区域 ,然后根据几何量计算的叠加性和对三角形子区域的精确解 ,确定任意复杂多边形截面在任意参考坐标系下的截面几何特性 。

According to the coordinates on the boundary of an arbitrary polygon domain,a kind of more simpler distinguishing criterion and algorithm to seek the properties of convex-concave on the boundary are given in this paper.The polygon domain can automatically be divided into finite triangle sub-domains by the algorithm.Then,section properties and core of the polygon can be determined and plotted on bases of the superposition of integral solutions on the triangle sub-domains.