剪切弯曲下短深梁位移数值计算精度的研究

Study on Precision of Calculation of Displacement for the Short and Deep Beam on Transverse Load

分析了短深梁位移的基本解 ,评述了有限元解法中关于高次分布力简化为节点力的问题。使用虚功原理和位移线性插值推导了满足二次分布力作用的精确节点力分配公式。通过矩形截面悬臂梁自由终端受集中载荷的算例 ,阐明了提高短深梁位移计算精度的途径。

Basic solutions of displacement for short and deep beam is analyzed. The simplified methods by which high order distributed load on boundary can be transformed into node force are reviewed. The precise formula of node force fitted second order distributed load is developed sing virtual work principle. The approach of improving the precision of calculation for the short and deep beam is discovered.