摘要
本文通过引入拉氏因子,以带线性约束最小二乘逼近的Golub方法,很好地处理了结点应力拟合的边值问题.利用三角形快速插值原理求出了等值线,并以CAD为环境绘制了单元图和等值线图,实现了有限元分析中高精度等值线的自动处理.
In this paper, the boundary value problems of precise fitting of stresses of internal nodal points and boundary nodal points are treated with Golub method associated with least-squares fitting method under linear constraint through introducing Lagrangian factor. The contour lines are evaluated by use of fast-triangle interpolating value principle and the graphes of internal cells and contour lines are generated with AUTO-CAD. The automatical treatment of precise drawing of contour lines is realized in the numerical analysis of FEM. A FORTRAN program is developed and it can also be used for other contour line drawing, such as thermal contour lines.
出处
《应用力学学报》
CAS
CSCD
北大核心
1992年第3期119-123,147,共5页
Chinese Journal of Applied Mechanics
关键词
等值线
有限元分析
弹性力学
contour line
best fit
finite element method
