| 热载下两对边固支两对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,史晓宇.热载下两对边固支两对边简支矩形薄板的解析解[J].甘肃科学学报,2007,19(2):121-124. |
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| 作者姓名： | 程选生 杜永峰 李慧 史晓宇 |
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| 作者单位： | 兰州理工大学,土木工程学院,甘肃,兰州,730050 |
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| 基金项目： | 兰州理工大学校科研和教改项目 |
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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,推导了两对边固支两对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两对边固支两对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 两对边固支 两对边简支 矩形薄板 解析解 |
| 文章编号： | 1004-0366（2007）02-0121-04 |
| 收稿时间： | 2006-09-15 |
| 修稿时间： | 2006-09-15 |
The Analytical Solution about Thin Rectangular Slab with Two Opposite Clamped Edges and Two Opposite Simply Supported Edges under Temperature Loads |
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| CHENG Xuan-sheng,DU Yong-feng,LI Hui,SHI Xiao-yu.The Analytical Solution about Thin Rectangular Slab with Two Opposite Clamped Edges and Two Opposite Simply Supported Edges under Temperature Loads[J].Journal of Gansu Sciences,2007,19(2):121-124. |
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| Authors: | CHENG Xuan-sheng DU Yong-feng LI Hui SHI Xiao-yu |
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| Institution: | School of Civil Engineering, Lanzhou University of Science and Technology, Lanzhou 730050, China |
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| Abstract: | Based on the small deflection plate theory, an equilibrium differential equation of thin isotropic slab is deduced under temperature variations which are perpendicular to the surface. By supposing a deflection function which is satisfied with the equilibrium differential equation and by adopting the Levy method, the deflection equation of isotropic rectangular plate with two opposite clamped edges and two opposite simply supported edges is obtained under temperature variations which are perpendicular to the surface. Hence, an analytical solution is given, thus providing a theoretical basis for subsequent engineering calculations. |
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| Keywords: | temperature load two opposite clamped edges two opposite simply supported edges thin rectanglar slab analytical solution |
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