| 矩形悬臂板的非线性弯曲 |
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| 引用本文： | 曲庆璋,章权.矩形悬臂板的非线性弯曲[J].强度与环境,1999(3):5-10. |
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| 作者姓名： | 曲庆璋 章权 |
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| 作者单位： | [1]青岛建筑工程学院 [2]广东省交通厅 |
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| 摘 要： | 矩形悬臂板的非线性弯曲是板理论中的一个相当困难的课题，至今还没有研究过。给出由三角函数和多项式组成的近似挠度函数ｗ（ｘ，ｙ）和应力函数Ｆ（ｘ，ｙ），它们满足矩形悬臂板的部分边界条件。然后用广义伽辽金方法得到矩形悬臂板非线性弯曲问题的解。最后给出了算例。
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| 关 键 词： | 矩形板 弯曲 非线性分析 数值分析 悬臂板 |
Nonlinear Bending of Rectangular Cantilever Plate |
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| Qu Qinghang, Liang Xingfu ,Zhan Quan.Nonlinear Bending of Rectangular Cantilever Plate[J].Structure & Environment Engineering,1999(3):5-10. |
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| Authors: | Qu Qinghang Liang Xingfu Zhan Quan |
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| Institution: | Qingdao Insitute of Architecture and Engineering |
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| Abstract: | The nonlinear bending of rectangular cantilever Plaes is a rather complicated problem in the theory of plates. Until now the problem has not studied. In this peper, the approximate deflection function (x, y) and stress function F(x, y) which consist of trigonometrical function and polynomial expression are selected. They satisfy part of boundary conditions. Then problem is solved by the generalized galerkir method. A numerical example is given at the end of the paper. |
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| Keywords: | Rectangular plate Bending Nonlinear analysis Numerical analysis |
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