基于四面体单元的体素法计算导管架浮心及浮力

The Object Element Method Based on the Tetrahedral Element to Calculate Hydrostatic Properties of the Jacket

导管架的浮心浮力计算可以归结于圆柱体与水平面的求交计算。但是圆柱体连接节点与水平面的求交计算很难使用解析方法。本文提出将导管架模型分解为四面体单元,分析每个四面体单元与水平面的相对关系,从而计算得到其浮力和浮心,最终汇总得到整个导管架的浮力浮心。

The object element method appeared in recent years has big advantages in computing hydrostatic properties of the floating object with complicated shape. This paper points out the problems in the intersection algorithm of the water plane and the object element. It also presents the object element method based on the tetrahedral element. The jacket can be divided into simple object elements, such as hexahedra, columns and triangle prisms. These object elements can be disassembled into more basic tetrahedral elements. After analyzing the relationship between the tetrahedron and the water plane, the individual element＇s displacement and floating center can be evaluated. So the hydrostatic properties of the whole jacket can be computed by summing up all the parameters of the tetrahedral elements..