| 热载作用下四边简支矩形薄板解析解的商榷 |
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| 引用本文： | 程选生,杜永峰,李慧.热载作用下四边简支矩形薄板解析解的商榷[J].力学与实践,2006,28(6):28-32. |
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| 作者姓名： | 程选生 杜永峰 李慧 |
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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,推导了各向同性薄板在横向变温作用下的平衡微分方程．通过试设满足平衡微分方程的挠度函数,采用李维解法,推导了四边简支各向同性矩形薄板在横向变温作用下的挠度方程,得出了横向变温作用下四边简支各向同性矩形薄板的解析解,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 四边简支 矩形薄板 解析解 |
| 收稿时间： | 2005-10-13 |
| 修稿时间： | 2005-12-28 |
A DISCUSSION ON THE ANALYTICAL SOLUTION OF RECTANGULAR THIN SLAB UNDER TEMPERATURE LOAD WITH FOUR SIMPLY SUPPORTED EDGES |
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| CHENG Xuansheng,DU Yongfeng,LI Hui.A DISCUSSION ON THE ANALYTICAL SOLUTION OF RECTANGULAR THIN SLAB UNDER TEMPERATURE LOAD WITH FOUR SIMPLY SUPPORTED EDGES[J].Mechanics and Engineering,2006,28(6):28-32. |
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| Authors: | CHENG Xuansheng DU Yongfeng LI Hui |
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| Institution: | College of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China |
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| Abstract: | Based on the small deflection plate theory, the equilibrium differential equation of isotropic thin slab with a temperature variation perpendicular to surface is deduced, by assuming a deflection function which satisfies the equilibrium differential equation and using the Levy method. An analytical solution is obtained for the case with four simply supported edges, which provides a basis for subsequent engineering calculations. |
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| Keywords: | temperature load four simply supported edges rectangle thin slab analytical solution discuss |
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