摘要
采用解析法、线性和非线性有限元法对均匀轴压圆柱薄壳的稳定问题进行了分析，就本文算例而言，三种方法所得的初始屈曲荷载是近似相同的。非线性有限元分析显示，在后屈曲阶段的荷载位移曲线上形成了一段近似水平的曲线，与之对应的是一近似常量的后屈曲承载力。通过对以往实验数据的统计分析，得到了计算屈曲应力的经验公式，其结果经与非线性有限元法的分析结果比较，初步发现试验得到的是圆柱壳的后屈曲应力而非其初试屈曲应力，从而得到了试验结果低于理论解这一实验现象的合理解释。
The classical buckling theory, linear and nonlinear finite element methods are employed to analyze the buckling of thin cylindrical shells under uniform axial compression. The initial buckling loads predicated by the three methods are approximately the same. Nonlinear finite element study reveals that there is a nearly－ horizontal length in the post－ buckling load- deflection space, corresponding to the nearly－ constant post－ buckling load. An empirical formula to predict the buckling stress is drawn from statistics on experimental data, comparisons between the results from the formula and the ones from nonlinear finite element study lead to the conclusion that the experimental buckling stress is actually the theoretical post－ buckling stress, rather than the initial buckling stress. This is a reasonable explanation to the disturbing fact that the experimental buckling loads were often much below the predications of classical theory.
出处
《哈尔滨建筑大学学报》
2000年第4期12-15,共4页
Journal of Harbin University of Civil Engineering and Architecture
基金
黑龙江省自然科学基金
关键词
圆柱壳
屈曲
有限元
非线性
稳定性
薄壳
thin cylindrical shell
buckling
finite element
non－ linearity； empirical formula
