有限差分方法在锚索框格梁内力计算中的应用

为使锚索框格梁内力计算方法更通用,能适应不同类型框架形式,基于Winkler弹性地基模型,用有限差分法方法推导了单根有限长梁内力计算公式,以此为基础提出了框格梁内力整体求解的计算方法,即根据框格梁锚索作用位置力的平衡和变形协调条件求解锚索力在横梁和竖梁上的分配,并根据分配结果分别计算每根梁的内力.单根梁计算实例证明,有限差分法是一种较精确的数值计算方法.整体求解计算实例及现场试验结果表明:整体求解方法不受结构对称性及锚索力个数的限制,更适用于一般情况;计算结果与现场试验结果吻合较好,Winkler 弹性地基模型用于计算锚索框格梁内力是合适的;锚索位置弯矩计算结果偏于安全可进行适当修正,同时此处应增加构造措施保证局部承载能力.

Application of Finite Difference Method in Caculation of Internal Forces of Anchor Frame Beams

To make the method for calculation of internal forces of anchor frame beams more general for various types of frame beams,the formula to calculate the internal forces of single beam with finite length was worked out by use of finite difference method and Winkler elastic foundation model.On this basis,the method for solution of internal forces of overall frame beams was put forward:working out the distribution of anchor forces on crossbeam and vertical beam according to the coordination conditions for equili...