| 均布压力作用各向异性矩形薄板大挠度问题 |
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| 引用本文： | 史宏斌.均布压力作用各向异性矩形薄板大挠度问题[J].强度与环境,1997(3):19-25. |
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| 作者姓名： | 史宏斌 |
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| 作者单位： | 中国航天工业总公司第41研究所(史宏斌，刘勇琼)，华中理工大学力学系!武汉，430074(钟伟芳) |
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| 摘 要： | 基于冯·卡门模型，选择中心挠度为摄动参数，利用摄动方法将正交异性矩形薄板大挠问题的非线性偏微分方程组逐级线性化，导出了各级摄动对应的几个线性偏微分方程组，然后再借助变分法求解，得到了均布载荷作用下正交异性矩形薄板的载荷-挠度曲线。
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| 关 键 词： | 正交各向异性板 矩形板 薄板 均布载荷 大挠度 |
A Perturbation-Variational Solution to Large Deflection Problems of Orthotropic Rectangular Thin Plates under Uniformly Distributed Load |
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| Shi Hongbin, Liu Yongqion, Zhong Weifang.A Perturbation-Variational Solution to Large Deflection Problems of Orthotropic Rectangular Thin Plates under Uniformly Distributed Load[J].Structure & Environment Engineering,1997(3):19-25. |
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| Authors: | Shi Hongbin Liu Yongqion Zhong Weifang |
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| Abstract: | Based on V. Karman's theory, a set of nonlinear equations for large deflection problems oforthotropic rectangualar thin plates is at first converted into several sets of linear equations by takingcentral dimensionless deflection as perturbation parameter, and then, the sets of linear equations for theplates with various ratios of the length to the width are solved with application of variational method. |
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| Keywords: | Orthotropic plate Rectangular plate Thin plate ~+Uniformly distributed load ~+Large deflection |
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