摘要
采用材料力学中的平面弯曲理论、以及弹性理论中平面应力问题和平面应变问题的转换关系,分析方管在均匀外压作用下的变形、临界压力和应力,得到了方管最大变形、临界压力和最大应力的求解公式.运用有限元分析软件Marc建立有限元模型,分析了方管在外压作用下的变形、临界压力和应力情况.分析结果表明,最大应力出现在凹角处,最大位移出现在各面的中截面处,并将有限元解与本文解作比较,从而验证文本解的正确性.
A solution of deformation, critical pressure and stress for square pipe under pressure is obtained by using plane bending formula and a transformation from plane stress to plane strain in elasticity. The maximum deformation, critical stress and maximum stress are obtained. The results are compared with those obtained by the finite element software of Msc. Marc.
出处
《力学与实践》
CSCD
北大核心
2005年第4期22-25,共4页
Mechanics in Engineering