热载作用下四边简支矩形薄板解析解的商榷

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

  • 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.

     

    Abstract: Based on the small deflection plate theory, the equilibriumdifferential equation of isotropic thin slab with a temperature variation perpendicular to surface is deduced, by assuming a deflectionfunction which satisfies the equilibrium differential equation andusing 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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