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力学与实践 ›› 2006, Vol. 28 ›› Issue (6): 0-0.doi: 10.6052/1000-0992-2005-389

• 应用研究 •    

热载作用下四边简支矩形薄板解析解的商榷

程选生 杜永峰 李慧.   

  1. 兰州理工大学土木工程学院 兰州 730050 兰州理工大学土木工程学院 兰州 730050 兰州理工大学土木工程学院 兰州 730050
  • 收稿日期:2005-10-13 修回日期:1900-01-01 出版日期:2006-12-10 发布日期:2006-12-10

A DISCUSSION ON THE ANALYTICAL SOLUTION OF RECTANGULAR THIN SLAB UNDER TEMPERATURE LOAD WITH FOUR SIMPLY SUPPORTED EDGES

  • Received:2005-10-13 Revised:1900-01-01 Online:2006-12-10 Published:2006-12-10

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.

关键词: 热载,四边简支,矩形薄板,解析解

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.

Key words: temperature load, four simply supported edges, rectangle