| 两对边固定两对边自由矩形板的精确解 |
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| 引用本文： | 岳建勇,曲庆璋.两对边固定两对边自由矩形板的精确解[J].强度与环境,2000(3):41-46,58. |
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| 作者姓名： | 岳建勇 曲庆璋 |
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| 作者单位： | 1. 同济大学地下建筑与工程系,200092
2. 青岛建筑工程学院基础部,266033 |
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| 摘 要： | 基于Ｋｉｒｃｈｈｏｆｆ薄板理论，提出双三角级数形式的挠度函数，求得两对边固定两对边自由矩形板的精确角，计算结果表明，这种解法收敛速度快，计算精度，易于工程应用。
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| 关 键 词： | 弹性板 弯曲 矩形板 三角级数 精确解 薄板理论 |
Exact Solution of Rectangular Thin Plates with Two Opposite Edges Clamped and the Other Two Edges Free |
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| Yue Jianyong,Qu Qingzhang.Exact Solution of Rectangular Thin Plates with Two Opposite Edges Clamped and the Other Two Edges Free[J].Structure & Environment Engineering,2000(3):41-46,58. |
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| Authors: | Yue Jianyong Qu Qingzhang |
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| Abstract: | In this paper,the deflection function which consists of trigonometric series and polynomial expression is selected according to the Kirchhoff theory of thin plate.Numerical examples show that the method has the advantages of rapid convergence and high precision.Therefore,this solution can be conveniently used in practical engineering. |
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| Keywords: | Bending of elastic plate Rectangular plate Trigonometric series |
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