| 各向异性矩形板弯曲的一般解析解 |
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| 引用本文： | 杨端生,黄炎,王锋.各向异性矩形板弯曲的一般解析解[J].中南大学学报(自然科学版),2005,36(5):899-903. |
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| 作者姓名： | 杨端生 黄炎 王锋 |
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| 作者单位： | 1. 长沙理工大学,桥梁与结构工程学院,湖南,长沙,410076
2. 国防科技大学,航天技术与工程系,湖南,长沙,410073 |
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| 摘 要： | 建立了各向异性矩形板弯曲的横向位移函数偏微分方程的一般解. 可以求解任意边界条件下承受任意载荷作用的弯曲问题. 一般解中的积分常数可由边界条件来决定. 沿每个边有2个边界条件: 挠度(或等效剪力)、斜度(或弯矩)应分别等于沿边界的已给值. 采用该解析法对四边自由四角支承的承受均布载荷或集中载荷的方板进行了计算, 给出了精确的解.
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| 关 键 词： | 各向异性 矩形板 弯曲 载荷 边界条件 |
| 文章编号： | 1672-7207(2005)05-0899-05 |
| 收稿时间： | 2004-12-14 |
| 修稿时间： | 2004年12月14 |
A general analytical solution of anisotropic rectangular plates in bending |
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| YANG Duan-sheng,HUANG Yan,WANG Feng.A general analytical solution of anisotropic rectangular plates in bending[J].Journal of Central South University:Science and Technology,2005,36(5):899-903. |
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| Authors: | YANG Duan-sheng HUANG Yan WANG Feng |
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| Institution: | 1. Institute of Bridge and Structure Engineering, Changsha University of Technology, Changsha 410076, China; 2. Department of Astronautics and Engineering, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | A general solution of partial differential equation for transverse displacement function of anisotropic rectangular plates in bending was established in this paper.It can be used to solve the bending problem for arbitrary loading with whatever boundaries.The integral constants in general solution can be determined by boundary conditions.Along each edge there are two edge conditions: deflection or equivalent shearing force,slope or bending moments should be equal to the given value along the edges respectively.A square plate with four edges free,supported at four corners,and loaded uniformly distributed or concentrated are calculated by this general analytical method,which gives the accurate solution. |
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| Keywords: | anisotropic rectangular plate bending loading boundary conditions |
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