均匀受压柱空间失稳临界力的统一公式研究

Study on General Formula of Critical Force to Axial Uniformly Compressed Column on Spatial Instability

以薄壁构件的统一理论为基础,推导出均匀受压柱临界力统一公式,并将其计算所得的结果与传统方法的计算结果作比较。随后根据计算结果绘制Pcr-λ曲线并对曲线进行研究,揭示该曲线所示的规律及转心三角形特性。统一公式是统一理论中研究轴压柱和偏压柱的基础,由此公式Pcr-λ引出的曲线及转心三角形对后续研究有着重要垫基作用。

In this paper, based on the general theory of thin-walled members, the general formula of the critical force to axial uniformly compressed column is derived. Then, it is compared with the result of groovy method. The P_(cr)-λ curve is plotted and studied, the rule shown by the curve and the characteristic of rotation center triangle is revealed. The general formula is the base of the study on axial compressed column and eccentrically compressed column in the general theory. The P_(cr)-λ curve and the rotation center triangle are very important to the succeeding study.