四边固定蜂窝式空心双向板按弹性理论的挠度数值解

Numerical Solution for the Deformation of Cellular Voided Slabs Fixed Supported by Four Edges

采用有限元法对比分析了蜂窝式空心板的受力特点,指出了蜂窝式空心板与密肋楼板和井式楼板受力机理的不同.给出了蜂窝式空心板的平衡微分方程和弯曲及扭曲刚度的计算公式,使用数值解法求出了四边固定蜂窝式空心双向板按弹性理论的挠度解,并结合算例进行了有限元分析验证.挠度数值解与有限元分析结果的误差很小,可用于四边固定蜂窝式空心双向板在竖向均布荷载下挠度的求解.

The structural behavior of cellular voided slab was analyzed by finite element method, difference between cellular voided slab and ribbed or waffle slab was pointed out. Differential equations and formulae of flexural and torsional stiffness of cellular voided slabs were given. Solution of deformation of cellular voided slabs fixed supported by four edges were presented by numerical method. Analysis and comparison by elastic finite element method on three group examples were carried out. The errors in numerical solutions to finite element method analysis results are little, the solution of deformation can be used in the calculation of cellular voided slabs fixed supported by four edges.