湖南大学学报（自然科学版）Issue(5)：58-64,7.
非理想边界拱的面内失稳模式与屈曲荷载∗
Planar Buckling Mode and Critical Load for Arch Structure with Non-ideal Boundary
摘要
Abstract
The non-ideal boundary conditions (neither fixed nor hinged)of arch structure were consid-ered as an elastic constraint with certain stiffness in different directions,and the nonlinear equilibrium equation was determined by using deformation geometric relation and energy variation principle.A circular arch under radial uniform load was taken as an example to establish the relationships between the external load and the internal force,and the radial displacement.By defining the shallowness and critical constraint stiffness,the snap-through buckling and bifurcation buckling were studied and the occurrence condition and distribution range were investigated.The buckling path and critical buckling load in the proposed method were in good agreement with the results from the finite element method.And the numerical meth-od was used to study the buckling path and critical buckling load for different stiffness of elastic con-straint.The results show that the critical shallowness and the critical constraint stiffness play a fundamen-tal role in the buckling mode and critical buckling load for circular arch.关键词
屈曲/圆弧拱/非理想边界/分岔屈曲/变分原理Key words
buckling/circular arch/non-ideal boundary/bifurcation buckling/variation principle分类
数理科学引用本文复制引用
康厚军,易壮鹏,曾有艺..非理想边界拱的面内失稳模式与屈曲荷载∗[J].湖南大学学报（自然科学版）,2015,(5):58-64,7.基金项目
国家自然科学基金资助项目(11002030,11102063),National Natural Science Foundation of China(11002030,11102063) （11002030,11102063）
