摘要
本文在三维空间坐标系统下,根据最小势能原理,从梁的非线性几何方程出发,详细导出了空间梁单元的几何非线性刚度矩阵.其中包括线性刚度矩阵、大位移矩阵及初应力矩阵,并把大位移矩阵分解为四个子矩阵,将初应力矩阵分解为十二个子矩阵.
Based on the principle of minimum potential energy and the nonlinear geometric equation of the beam element, the geometrical nonlinear stiffness matrices are derived for a three-demensional beam element in this paper. Of these matrices, the large displacement matrix is divided into four and the initial stress matrix into twelve submatrices, respectively.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
1992年第1期60-71,共12页
Journal of Hunan University:Natural Sciences
关键词
非线性结构
刚度矩阵
梁单元
non-linear structural analysis
stiffness matrix
three dimensional structure/beam element
