摘要
大曲率拱中,截面形心轴与中性轴不重合,其截面抗弯惯性矩与不考虑曲率影响的截面面积二阶矩有一定的差别;当截面尺寸相对拱弧长来说较大时,此时拱为深拱,剪切变形的影响不能忽略。基于此认识,提出了考虑曲率、剪切变形影响的深拱平面弹性稳定分析方法,讨论了圆弧拱在径向均布荷载作用下的面内稳定问题,导出了临界荷载计算公式,比较了不同理论结果的差别,给出了弹性失稳与塑性屈曲的临界系数和临界圆心角,得出了一些重要结论。
For large curvature arch, the neutral axis does not pass through the centroidal line of the cross-section, so the moment of inertia is not consistent with the second moment of area. When the dimensions of cross section are relatively large for the arc length, shear deformation must be considered. From the views of these aspects, an analytical model for deep arch is presented, which can consider the influences of large curvature and shear deformation. Under the uniformly distributing radial load around the arch axis, the in-plane stability of circular arch is investigated using analytical method. The results of different theories are compared. The critical parameters of buckling load parameter and subtended angle are discussed for elastic stability and plastic stability.
出处
《工程力学》
EI
CSCD
北大核心
2008年第1期145-149,160,共6页
Engineering Mechanics
基金
国家自然科学基金项目(50478032)
长沙理工大学奖励基金项目(2004-48)
关键词
桥梁工程
剪切变形
大曲率
屈曲
稳定分析
bridge engineering
shear deformation
large curvature
buckling
stability analysis
