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受压U形截面柱的塑性后分叉
引用本文:赵春风 刘大钊. 受压U形截面柱的塑性后分叉[J]. 力学季刊, 1997, 18(2): 153-159
作者姓名:赵春风 刘大钊
作者单位:同济大学,同济大学,同济大学 上海 200092,上海 200092,上海 200092
摘    要:对压缩到塑性阶段的简支U形截面柱,本文详细讨论了对应于最低分叉截荷的非对称初始后分叉问题。在分析中考虑了弹性卸载对两条不同后分叉路径的影响,求出了两种不同初始后分叉的载荷与分叉模态值之间的渐近关系式,并求出了渐近展开式中的高阶项。

关 键 词:U形截面 柱 塑性 后分叉 渐近展开式

PLASTIC POST-BIFURCATION OF A SIMPLY SUPPORTED COLUMN WITH A U-SHAPED CROSS-SECTION
Zhao Chunfeng Goo Dazhao Cheng Yaoshun. PLASTIC POST-BIFURCATION OF A SIMPLY SUPPORTED COLUMN WITH A U-SHAPED CROSS-SECTION[J]. Chinese Quarterly Mechanics, 1997, 18(2): 153-159
Authors:Zhao Chunfeng Goo Dazhao Cheng Yaoshun
Abstract:In the paper, the post-buckling behavior in the plastic range of a simply supported column with a U-shaped cross-section has been studied. In the analysis, the effect of the elastic unloading on two distinct post-bifurcation solution has been taken into account, which correspond to the lowest bifurcation loads after the bifurcation is formed. The asymptotic relationship between the load and the mode amplitudes of the bifurcation including high order terms are carried out for the two distinct initial post-bifurcations .
Keywords:column of U-shaped cross-section column   plastic range   post-bifurcation   asymptotic ex- pansion
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