| 多种边界条件下正交异性厚板的精确解 |
| |
| 引用本文： | 范家让
,叶建乔.多种边界条件下正交异性厚板的精确解[J].合肥工业大学学报(自然科学版),1988(2). |
| |
| 作者姓名： | 范家让 叶建乔 |
| |
| 作者单位： | Fan Jiarang，Ye Jianqiao |
| |
| 摘 要： | 本文从三维弹性力学出发,抛弃任何假设,导出正变异性体的弹性力学问题的状态方程。给出四边简支任意厚宽比的矩形板在任意荷载下的精确解。并在此解的基础上,利用功的互等定理,得到板域内的解的形式具有不变性的结论。给出了具有固支边和简支边的厚板的精确解。通过对悬臂板解法的分析,证明了该方法适用于任意边界条件。
|
| 关 键 词： | 正交异性厚板 状态方程 Cayleg-Hamilton定理 功的互等定理 |
THE EXACT SOLUTION FOR THE ORTHOTROPIC THICK PLATE WITH VARIOUS BOUNDARY CONDITIONS |
| |
| Fan Jiarang,Ye Jianqiao.THE EXACT SOLUTION FOR THE ORTHOTROPIC THICK PLATE WITH VARIOUS BOUNDARY CONDITIONS[J].Journal of Hefei University of Technology(Natural Science),1988(2). |
| |
| Authors: | Fan Jiarang Ye Jianqiao |
| |
| Abstract: | Basing on three-dimension elasticity and giving up any assumptions, the authors obtain the state equations for the orthotropic body. The exact solutions for a simply supported rectangular thick plate with arbitrary ratio between thickness and width under any given loads are presented. By means of these solutions and the reciprocity rtheorem of Work, We come by the conclusion that the interner solution form of a plate is invariable. The exact solutions for a thick plate with clamped and s imply suppor ted edges are given. From the analysis procedure of a cantilever plate, it is proved that the approach developed in the paper is avaiable to the plate with any boundary conditions. |
| |
| Keywords: | orthotropic thick plate state equation Cayley-Hamilton throrem the reciprocity theorem of work |
| 本文献已被 CNKI 等数据库收录！ |
