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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。
In this paper, the elastic buckling of a suspended structure with a single suspended load is studied and an analytical solution is obtained. For the huge suspension structure with multi-layer suspension load, the steady equilibrium differential equation is derived by using the continuous model. The results show that the suspension structure is elastic and stable, which is equivalent to the stability of the variable axial force giant frame column with the vertical load acting directly on the same height of the suspended giant column. Using the energy method, the buckling load expression of the rotating constrained columns at both ends under the vertical uniform load was obtained. The finite element method was used to verify the buckling load with good accuracy. For two giant suspended structures, elementary algebraic method is used to solve the buckling load considering the interaction of layers and layers. Compared with finite element method, elementary algebra method also has good accuracy.