| 弹性地基上正交各向异性变厚度圆薄板的大挠度问题 |
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| 引用本文： | 王嘉新,刘杰.弹性地基上正交各向异性变厚度圆薄板的大挠度问题[J].应用数学和力学,1996,17(5):455-463. |
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| 作者姓名： | 王嘉新 刘杰 |
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| 作者单位： | 1.中南工业大学, 长沙410083; |
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| 摘 要： | 本文推出了均布载荷下弹性基地上的正交各向异性变厚度圆薄板大挠度问题的基本方程。利用修正迭代法获得了该问题的二阶近似解。
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| 关 键 词： | 变厚度圆薄板 大挠度 修正迭代法 |
| 收稿时间： | 1995-01-25 |
Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure |
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| Wang Jiaxin.Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure[J].Applied Mathematics and Mechanics,1996,17(5):455-463. |
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| Authors: | Wang Jiaxin |
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| Institution: | 1.Centra-Sounth University of Technology, Changsha 410083, P. R. China;2.Zhuzhou Engineering Institute, Zhuzhou, Hu'nan 412000 P. R. China |
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| Abstract: | Basic equations for large deflection theory of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure, If ε=0, R=100 and R=200, μ=0,3, λ=1 then the result derived from the solution in this paper agrees statisfactorily with the result given by Galerkin's method1] for solving large deflection problem of thin circular, plate with constant thickness on elastic foundation under uniform pressure. |
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| Keywords: | variable thickness thin circular plate large deflection modified iteration method |
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