摘要
该文首先研究了单个吊挂荷载的悬挂结构的弹性屈曲,求得了解析解。对多层吊挂荷载的巨型悬挂结构,运用连续化模型,推导了稳定平衡微分方程。结果表明:悬挂结构的弹性稳定,等同于将竖向荷载直接作用于悬挂巨型柱相同高度处的变轴力巨型框架柱的稳定。运用能量法,求出了竖向均布荷载作用下两端转动约束柱的屈曲荷载表达式,采用有限元方法验证其具有良好的精度。对两个巨型层的悬挂结构,用初等代数方法阐述了考虑层与层相互作用的屈曲荷载求解方法,与有限元方法比较表明,初等代数方法也具有良好的精度。
This paper analyzed the buckling of frames with one suspended storey, and a closed form solution was obtained. Mega-frames with multiple suspended storeys were then studied using the continuum method, and the equilibrium differential equation for buckling was established. It was found that, for the purpose of stability analysis, the suspension mega frame can be simplified as a mega column with gravity loads applied at the same height. Using the energy method, an approximate expression for the buckling load of columns rotationally restrained at two ends was presented, and its accuracy was verified by EFM. For suspension frames with two mega storeys, an elementary algebra method was proposed to solve for the buckling loads and the interaction between two storeys, and its accuracy was also verified through numerical analysis.
出处
《工程力学》
EI
CSCD
北大核心
2013年第5期75-82,共8页
Engineering Mechanics
基金
国家自然科学基金项目(50578140)
关键词
悬挂结构
屈曲
相互作用
巨型结构
框架
suspension structure
buckling
interaction
mega-structures
frame
