平行圆管空心板双向抗弯刚度的确定

Determination of flexural stiffness for voided plates with parallel circular-tubes

平行圆管空心板横管方向抗弯刚度的取值问题尚未获得圆满解决。本文通过有限元分析,发现横管方向平均应变仍符合平截面假定;提出了两种基于数值解求其等效刚度的方法,即分别用水平位移按刚度定义计算和用竖向挠度按挠度-刚度关系式计算,两种方法的结果得到了相互印证;继而经拟合得到了横管与顺管两个方向刚度比的经验公式,简单实用。值得指出,本文提出的等效刚度确定方法简便合理,对解决类似问题有重要的借鉴价值。

The flexural stiffness has not yet been well determined for a voided plate with parallel circulartubes. On the basis of finite element analyses, the average strains over part of length normal to axes of the tubes are still linearly distributed over depth of the plate. Two methods are put forth to decide the equivalent stiffness in this radial direction, which utilize the numerical solutions either by horizontal deformation and definition of stiffness or with vertical deflection and relationship between deflection and stiffness. The results from both methods are well coincident with and verified by one another. Then an empirical expression, being simple and practical, is developed by correlation to calculate the ratio of stiffness in radial to axial direction. It is worth pointing out that the methodology here presented is rational and valuable to solve similar problems.