| 平板的三维分析 |
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| 引用本文： | 肖万伸,曾庆元.平板的三维分析[J].应用数学和力学,1997,18(9):833-844. |
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| 作者姓名： | 肖万伸 曾庆元 |
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| 作者单位： | 长沙铁道学院!长沙，410075，长沙铁道学院!长沙，410075，长沙铁道学院!长沙，410075 |
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| 摘 要： | 本文对平板的位移进行适当的假定，求得了三维Navier方程的解，并分析了平板的板面条件；在实例中，我们应用Navier方程的解求解了平板的边值问题，得到了封闭解．这里的结果严格地满足控制方程，能精确地反映边界上应力分布复杂的边界效应．
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| 关 键 词： | 平板 厚板 位移法 边值问题 Navier方程 |
Three-Dimensional Analysis on Plates |
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| Xiao Wanshen, Zeng Qingyuan, Liu Qingtan.Three-Dimensional Analysis on Plates[J].Applied Mathematics and Mechanics,1997,18(9):833-844. |
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| Authors: | Xiao Wanshen Zeng Qingyuan Liu Qingtan |
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| Abstract: | The displacements of the plate are assumed appropriately to derive the solutions of the 3-D Navier equations. And the conditions on the plate's surface are investigated. In .the examples, the boundary-value problems of the plate are solved by applying the Navier-equation's solutions and their closed-form solutions are obtained. The results formulated in the present paper satisfy exactly the governing equations and can reflect precisely the boundary effects of complicated distributions on the edge of plates. |
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| Keywords: | plate thick plate displacement method boundary-value problems Navier equation |
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