磷石膏空腔模无梁楼盖的连续化分析

A Continuous Analysis on Phosphorus Gypsum Evacuated Mould Floor without Beam

通过运用ansys软件对磷石膏空腔模无梁楼盖进行截面应力分析,提出了该类方盒空心板连续化模型的基本假定。将空心板分别分为不考虑表层抗弯刚度与考虑表层抗弯刚度两种情况建立分析模型,采用连续化分析方法,推导了2种情况下空心板的基本方程,进而建立了周边简支条件下各自的内力和位移计算公式。用精细有限元方法,对实例进行了数值模拟,所得有限元计算值与连续化分析所得结果吻合较好,2种情况的最大相对误差分别为8.38%和7.78%,考虑表层抗弯刚度时的精确度较高,表明所提方法的正确、合理性。文中所提方法和公式均通过理论、数值验证,可作为磷石膏空腔模无梁楼盖研究的理论基础。

The software of ANSYS was applied to study the cross section stress of phosphorus gypsum evacuated mould floor without beam. A basic assumption of square hollow slab continuous model was put forward in this pa- per. Two analysis models were established for the hollow slabs in two situations-the flexural stiffness of surface layer not considered and the flexural stiffness of surface layer considered. The basic equation was given for these two ca- ses by adopting the method of continuous analysis to set up calculation formula of the internal force and displace- ment with the surrounding and simply supported condition. Finite element method was taken to do numerical simu- lation on some examples. The results showed that the finite element calculation was in good agreement with the con- tinuous analysis method. The maximum relative errors of the two cases were 8.38 % and 7.78 % respectively. The flexural stiffness of surface layer considered had a higher accuracy, which suggested that the proposed method was correct and rational. The method and formula were proved by theory and numerical simulation and could be used as a theory basis for phosphate gypsum evacuated mould floor without beam.