弹性支承厚板在局部载荷下的弯曲

在建筑结构设计中弹性支承板的计算一般采用有限元法和图表法。在理论上没有一般性的解析表达式，无论是薄板还是厚板，本文由边界积分法给出了一般封闭解析解的表达式。作为算例，求解了局部均布荷载作用的弹性支承四边简支厚板的弯曲问题，并相应地以图表的形式给出了计算结果，并与有限元结果进行了对照，证明本文给出的一般性的封闭解析解的表达式是正确的。

Bending of Thick Plate on Elastic Foundation under Uniformly Distributed Loads in Parts of the Plate

In design of building structures the bottom plate on elastic foundation is calculated in common using finite element method or calculation charts. There is no universal analytic formula in theory. This paper offers the universal analytic formula for thin and thick plates with the method of edge integration. As an example, this paper solves the bending problems of four edges simply supported thick plate on spring base, which is loaded by local uniformly distributed loads. Comparing with the calculation results of finite elecment analysis, it is verified that the proposed calculation method is accurate.