变截面压杆稳定计算的有限单元法

FEM for calculating stability of variable cross-section compression bars

在三维退化梁单元的基础上 ,引入几何非线性 ,推导出计算任意变截面压杆稳定问题的有限元列式 .数值计算结果表明 ,公式正确 ,力学概念清晰 ,计算效率较高 .该单元与三维梁、板、块单元的连接非常方便 。

Based on the 3_D deteriorated girder element, the formulae of FEM for elastic stability of variable cross_section compression bar concerning geometrical nonlinearity have been derived. The new element, whose nodes have no rotation freedom, can be connected coordinately with many of other types 3_D girder and plate and block elements. The results show that the method and the element presented in the paper are more effective for engineering than others.