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SECONDARY BUCKLING OF A STRUT ON AN ELASTIC FOUNDATION UNDER AXIAL COMPRESSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(4): 443-451. DOI: 10.6052/0459-1879-1993-4-1995-664
Citation: SECONDARY BUCKLING OF A STRUT ON AN ELASTIC FOUNDATION UNDER AXIAL COMPRESSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(4): 443-451. DOI: 10.6052/0459-1879-1993-4-1995-664
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SECONDARY BUCKLING OF A STRUT ON AN ELASTIC FOUNDATION UNDER AXIAL COMPRESSION

      Abstract
    • 本文研究弹性基础上受轴向加载的两端铰支杆当其最低两屈曲荷载很近时的后屈曲行为。首先,使用Liapunov-Schmidt约化并借助稳定性分析,揭示了杆的二次屈曲现象;基于分叉方程给出了原始后屈曲分支及二次分支的渐近展开。其次,我们使用作者建立的二次分叉的计算方法对杆的二次屈曲做了数值计算,数值结果与渐近展开符合得很好
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