| 箱形井塔带孔壁板稳定问题的势能原理及其算法 |
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| 引用本文： | 李自林,王荣霞.箱形井塔带孔壁板稳定问题的势能原理及其算法[J].河北工业大学学报,2003,32(3):29-33. |
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| 作者姓名： | 李自林 王荣霞 |
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| 作者单位： | 1. 天津城市建设学院,土木工程系,天津,300384
2. 河北工业大学,土木工程学院,天津,300132 |
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| 基金项目： | 河北省教育厅自然科学基金(2000120)，建设部科研基金(03-2-017) |
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| 摘 要： | 从弹性带孔矩形薄板稳定最小势能原理出发．首先设定临界力作用下的挠度表达式，．使之满足箱形井塔薄板的位移或力的边界条件，然后依据整个矩形的板面积除去孔口部分的面积进行积分推演，导出最小势能原理在不同边界约束下开孔矩形薄板临界力计算公式．应用此算法，十分简便，很快可求出其临界力，其计算结果介于现使用的弹性理论法与屈曲破损荷载法之间．
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| 关 键 词： | 弹性开孔矩形薄板 最小势能原理 临界力 边界条件 |
| 文章编号： | 1007-2373(2003)03-0029-05 |
Potential Energy Principle and Calculation about Stability of Opening Thin Plate in Box Tower |
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| LI Zi-lin,WANG Rong-xia.Potential Energy Principle and Calculation about Stability of Opening Thin Plate in Box Tower[J].Journal of Hebei University of Technology,2003,32(3):29-33. |
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| Authors: | LI Zi-lin WANG Rong-xia |
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| Abstract: | First we suppose a deflection expression on principle of minimum potential energy for an opening elastic rectangular thin plate loaded with critical force, which can meet the side conditions of displacement or force. Then, the formula to calculate critical force loaded on the plate can be found under different condition of side restrained, integrating the whole plate area minus the opening. The method to calculate the critical force is very easy and quick, the result is between elastic theory method and bending damaged load method. |
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| Keywords: | opening elastic rectangular thin plate minimum potential energy critical force side condition |
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