复合荷载作用下的双向板肋梁楼盖弯曲问题的迭代算法

Iterative Algorithm for Solving Bend Problem of 2-Way Rib-Beam Floor Frame under Mixed Model Loading

该文通过对双向板的主梁、次梁的合理简化,并结合单块板的弹性力学理论分析结果,尤其是利用方板在三边固支、一边简支时的解析解,提出了一种新的半解析计算方法———逐边迭代平衡放松法,解决了在任意荷载以及复合荷载作用下楼板的弯曲计算问题,并基于MATLAB语言编制出通用性较强的计算程序,给出了算例.

By rationally simplifying some factors of the 2-way floor and referring the analysis results of elastic mechanics, specially using the analytical calculation results of three clamped and one free edges, this paper proposes a new semi-analytic solution termed the edge-by-edge iterative balancing method, and derives the bending solution under mixed loading. A general-purpose efficient program is developed using Matlab. Finally an example is given.