摘要
本文对三角域的自由曲面,在重心坐标的基础上,采用正常域自由曲面的矩阵形式构造曲面片.通过矩阵微分运算,以确定曲面片上任意点的切矢,从而给出具有公共边界的两块三角域曲面片C^1的连续条件,为复杂曲面构型提供了一种新方法.
The construction method for a surface piece on a free surface in a triangular domain based on the coordinates of center of gravity is investigated using ordinary matrix representation for the free surface in a normal domain. Such a representation has been found to be very simple and standard and convenient for programming. The directional derivative of the tangential vector has been calculated for any one point on the surface piece by differentiation of the matrix. The condition of c1 continuity for two surface pieces with c0 continuity in a triangular domain has been determined after a series of matrix operations.
出处
《华中理工大学学报》
CSCD
北大核心
1991年第6期103-108,共6页
Journal of Huazhong University of Science and Technology
关键词
三角域
自由曲面
重心坐标
C'连续
Free surface in a triangular,domain
Coordinates of center of gravity
Shift operator
Cyclic algorithm
c1 continuity
