| 矩形悬臂板对称弯曲问题的解 |
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| 引用本文： | 曲庆璋,梁兴复. 矩形悬臂板对称弯曲问题的解[J]. 青岛理工大学学报, 1995, 0(1) |
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| 作者姓名： | 曲庆璋 梁兴复 |
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| 作者单位： | Qu Qingzhang(Deportment of Basic Courses，QIAE)Liang Xingfu(Department of Civil Engineering，QInE) |
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| 摘 要： | 矩形悬臂板弯曲问题是Ｋｉｒｃｈｈｏｆｆ板理论中的难题．利用广义方法讨论了矩形悬臂板的对称弯曲．选择了三角函数和多项式的挠度函数．满足全部位移边界条件．自由角点条件和一部分力的边界条件．所得结果．同一些“精确解”是一致的．文中给出了挠度及弯矩的计算公式．
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| 关 键 词： | 矩形悬臂板，弯曲问题，三角函数，多项式，广义法 |
The Solution of the Symmetrical Bending Problem of Rctangular Cantilever Plates |
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| Qu Qingzhang. The Solution of the Symmetrical Bending Problem of Rctangular Cantilever Plates[J]. Journal of Qingdao Technological University, 1995, 0(1) |
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| Authors: | Qu Qingzhang |
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| Abstract: | The bending Of a rectangular cantilever plate is a very complicated problem in the theory of Kirchhoff plate. This peper discusses the problem of the symmetrical bending of a rectangular cantilever plate by the generalized Galerkin mrthod. In this paper, the fie-cural function which consisls of trigonometrical function and POlynomial expression is selected. The fie-cural function satisfies all boundary conditions of displacememt, the conditions at free corner points and part of boundary foundation of force. On this account a very good solution is oblained. Our results are the same as some exact solutions. In this Paper, some simple calculation formulas of the flection and bending moment are given. |
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| Keywords: | rectangular cantilever plate bending problem trigonometical function polynomial expression generalized Galerkin method |
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