求解钢筋混凝土平面梁单元刚度的改进算法

Improved method for calculating rigidity of reinforced concrete planar beam element

提出一种在考虑材料非线性的有限元分析中根据荷载的大小求解相应单元刚度的改进算法.通过讨论Cranston方法求解钢筋混凝土平面梁单元刚度的原理和步骤,指出其在某些情况下可能出现迭代计算不收敛的局限性,提出采用加速搜索区间法和二分法相结合进行钢筋混凝土平面梁单元的求解.基于该方法编写考虑材料非线性的平面杆系有限元程序,并用算例进行验证.结果表明该方法具有良好的收敛效果,可以在Cranston方法失效时采用.

An improved method was presented to resolve the corresponding element rigidity with finite elernent analysis for nonlinear material in terms of load magnitude on it. After discussing the principle and process of Cranston method for solution of reinforced concrete element rigidity, it was pointed out that Cranston method sometimes would have its limitation that the iterative computation might not converge. A solution method of accelerating interval search combined with dichotomy was put forward, and a finite ele- ment program was developed for nonlinear planar rod systems based on this method. It was shown by an illustrative computation that this method had a satisfactory convergence effect and could be used when Cranston method failed.