| 矩形薄板受端面载荷作用下的变形行为 |
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| 引用本文： | 张连文,曾广武. 矩形薄板受端面载荷作用下的变形行为[J]. 华中科技大学学报(自然科学版), 1999, 0(2) |
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| 作者姓名： | 张连文 曾广武 |
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| 作者单位： | 华中理工大学交通科学与工程学院 |
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| 摘 要： | 利用铁木辛柯能量法研究了具有初始缺陷的薄板受端面载荷作用下的变形行为．针对典型边界状况,选定合适的位形函数,导出了总势能表达式及其一阶和二阶变分．并以方板作为特例讨论了屈曲行为及二次屈曲问题．同时还指明了外力势能对变形行为的影响．
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| 关 键 词： | 屈曲载荷 能量法 变分方程 二次屈曲 |
The Behavior of Rectangular Thin Plates Under Plane Loaded Compression |
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| Zhang Lianwen Zeng Guangwu. The Behavior of Rectangular Thin Plates Under Plane Loaded Compression[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1999, 0(2) |
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| Authors: | Zhang Lianwen Zeng Guangwu |
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| Affiliation: | Zhang Lianwen Zeng Guangwu |
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| Abstract: | The behavior of rectangular thin plates is studied with initial imperfections subjected to uniaxial compression at one lateral edge by Timoshenko method. The unknown distributions of displacements are chosen to satisfy given boundary conditions. The expression of total potential energy, together with its corresponding first and second variation are derived. A particular example of a square plate is discussed. It is pointed out that the work done by the compressive force is neglected by some authors affects the post buckling behavior. |
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| Keywords: | buckling load energy method variational equation secondary buckling |
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