基于厚/薄壳通用单元及内力杂交化后处理的螺旋楼梯分析

Analysis of Helicoidal Girders Based on Thick/Thin Shell Element and Internal Force Hibrid Method

以消除螺旋楼梯中心线半径与宽度比值及板宽厚比等方面影响为目的,提出了基于壳体理论的异型楼梯设计方法LZFEM。该方法采用三角形厚薄壳通用单元模型替代常规的杆单元模型用于螺旋楼梯的内力分析,取消了近似计算的一些假定,使得设计工作可以基于螺旋楼梯的真实受力情况进行;在内力处理中引入了杂交化后处理方法,解决了通常情况下位移型单元位移精度高而内力精度尤其是剪力精度达不到设计要求的不足,是一种便于推广应用且经济合理的新型设计方法。

A new design method for helicoidal girders named LZFEM is developed based on the theory of shell,which is free from the affection of the ratios of centerline radius to width and width to thickness.Some assumptions in traditional method can be eliminated by using shell element instead of beam element,and the result is more accurate.Hibrid method is introduced to ameliorate the internal forces to satisfy the requirement of desing.The new method is more economic and reasonable by using new theory.