| 热载下三边固支一边简支矩形薄板的解析解 |
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| 引用本文： | 程选生,杜永峰,李慧,兰倩.热载下三边固支一边简支矩形薄板的解析解[J].强度与环境,2007,34(4):8-13. |
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| 作者姓名： | 程选生 杜永峰 李慧 兰倩 |
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| 作者单位： | 兰州理工大学土木工程学院,兰州,730050 |
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| 摘 要： | 基于薄板的小挠度理论,根据四边简支矩形薄板在横向变温作用下的挠度和内力解答,通过应用虚功原理和叠加原理,推导了三边固支一边简支矩形薄板在横向变温作用下的挠度方程和内力解析解,从而为以后的工程计算提供了理论依据.
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| 关 键 词： | 热载 三边固支一边简支 矩形薄板 解析解 |
| 文章编号： | 1006-3919（2007）04-0008-06 |
| 修稿时间： | 2006-09-152007-01-31 |
The analytical Solution about rectangular thin slab with three clamped edges and one simply supported edges under temperature load |
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| CHENG Xuan-sheng,DU Yong-feng,LI Hui,LAN Qian.The analytical Solution about rectangular thin slab with three clamped edges and one simply supported edges under temperature load[J].Structure & Environment Engineering,2007,34(4):8-13. |
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| Authors: | CHENG Xuan-sheng DU Yong-feng LI Hui LAN Qian |
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| Institution: | School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China |
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| Abstract: | Based on the small deflection plate theory, the analytical solution about deflection and internal force of rectangular thin plate with three clamped edges and one simply supported edge under temperature variation which is perpendicular to surface is derived for isotropic materials by the virtual work principle and the overlapping principle. Such a theory base is provided for subsequent both strength and stiffness calculation about the rectangular thin plate under temperature. The result of numerical example demonstrates that the solution has good convergence and the solution is reasonable and right. |
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| Keywords: | temperature load three clamped edges and one simply supported edge rectangle thin plate analytical solution |
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