| ANALYSIS OF SYMMETRIC LAMINATED RECTANGULAR PLATES IN PLANE STRESS |
| |
| 作者姓名： | 杨端生 黄炎 任仙海 |
| |
| 作者单位： | College of Bridge and Structure Engineering Changsha University of Science and Technology，Changsha 410076，P. R. China，College of Aerospace and Material Engineering，National University of Defense Technology，Changsha 410073，P. R. China，College of Aerospace and Material Engineering，National University of Defense Technology，Changsha 410073，P. R. China |
| |
| 摘 要： | Symmetric laminated plates used usually are anisotropic plates. Based on the fundamental equation for anisotropic rectangular plates in plane stress problem, a general analytical solution is established accurately by method of stress function. Therefore the general formula of stress and displacement in plane is given. The integral constants in general formula can be determined by boundary conditions. This general solution is composed of solutions made by trigonometric function and hyperbolic function, which can satisfy the problem of arbitrary boundary conditions along four edges, and the algebraic polynomial solutions which can satisfy the problem of boundary conditions at four corners. Consequently this general solution can be used to solve the plane stress problem with arbitrary boundary conditions. For example, a symmetric laminated square plate acted with uniform normal load, tangential load and nonuniform normal load on four edges is calculated and analyzed.
|
| 关 键 词： | 弹性稳定 板材 应力 对称性 |
| 收稿时间： | 2006-04-19 |
| 修稿时间： | 2006-07-24 |
Analysis of symmetric laminated rectangular plates in plane stress |
| |
| Duan-sheng Yang,Yan Huang,Xian-hai Ren.ANALYSIS OF SYMMETRIC LAMINATED RECTANGULAR PLATES IN PLANE STRESS[J].Applied Mathematics and Mechanics(English Edition),2006,27(12):1719-1726. |
| |
| Authors: | Duan-sheng Yang Yan Huang Xian-hai Ren |
| |
| Institution: | 1. College of Bridge and Structure Engineering, Changsha University of Science and Technology,Changsha,410076, P. R. China
2. College of Aerospace and Material Engineering, National University of Defense Technology,Changsha,410073, P. R. China |
| |
| Abstract: | Symmetric laminated plates used usually are anisotropic plates. Based on the fundamental equation for anisotropic rectangular plates in plane stress problem, a general analytical solution is established accurately by method of stress function. Therefore the general formula of stress and displacement in plane is given. The integral constants in general formula can be determined by boundary conditions. This general solution is composed of solutions made by trigonometric function and hyperbolic function, which can satisfy the problem of arbitrary boundary conditions along four edges, and the algebraic polynomial solutions which can satisfy the problem of boundary conditions at four corners. Consequently this general solution can be used to solve the plane stress problem with arbitrary boundary conditions. For example, a symmetric laminated square plate acted with uniform normal load, tangential load and nonuniform normal load on four edges is calculated and analyzed. |
| |
| Keywords: | symmetric laminated plate anisotropic stress function methodology strain displacement |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
