中文摘要：

基于能显著减小单刚计算量的场一致性原则,遵循标准的共旋坐标法,导出了三角形平面单元在大转动、小应变条件下的单元切线刚度矩阵.利用这一非对称的单元切线刚度矩阵编制程序,运用该程序对悬臂端作用有集中力的平面悬臂梁进行了计算.计算结果表明,所提出的单元切线刚度矩阵列式正确,该单元刚度矩阵虽然不对称,但计算较简单.这在非线性计算中对于减小由于计算机位数限制带来的累积舍入误差和提高迭代的收敛性具有重要意义.

英文摘要：

Based on the field consistency principle to reduce the computation of element stiffness matrix significantly,a simple tangent stiffness matrix for the triangular plane element under large rotation with small strain is proposed.A non-linear finite element iteration procedure is also established by the Newton-Raphson technique,and a corresponding program is completed.A cantilever beam with a single concentrated load at the end is employed to examine the accuracy,Computation has verified the correctness of the element＇s formulation.The element tangential stiffness matrix is asymmetric but less of computation.In nonlinear computation,this is positively meaningful as the round off errors accumulate with the increase of computation of element stiffness matrix and consequently lead to the possibility of iteration disconvergence.