二次积分迭代法的钢筋混凝土框架非线性全过程分析

在分析了钢筋混凝土框架受弯构件，压弯构件显示非线性特征的主要原因的基础上，提出了对钢筋混凝土框架进行非线性全过程分析的二只分迭代法，此法充分考虑了钢筋混凝土材料的非线性特征，通过构件截面的应力应变关系，力和力矩的平衡，推导出一系列的迭代公式，迭代整体可以模拟裂缝开展，钢筋屈服，混凝土压碎，塑性铰产生，内力重分布等全部过程，将模拟模型引入框架的非线性分析的单元劲度矩阵，编写了框架非线性全过程的分析程序，对两层两跨受集中荷载的框架进行计算比较，所得结果与实测吻合较好。

Double-integral iteration method for nonlinear full-range analysis of R.C. frames

Based on the analysis of main factors causing the non-linear characteristics of beams and columns in bending, a double-integral iteration method is proposed for the non-linear full-range analysis of R.C. frames. The non-linear feature of reinforced concrete is fully considered, and a series of iterative formulae are deduced based on the equilibrium of force and bending moment on the section of members. The iteration can imitate the processes of crack development, reinforcement yielding, concrete crushing, plastic-joint formation, and internal force redistribution. The model is introduced into an element stiffness matrix for non-linear analysis of R.C. frames, and a corresponding computer program is developed. A two-storey and two-span R.C. frame subjected to concentrated loads is analyzed by use of the program, and a comparison shows that the calculated and test results are in good agreement.